TSTP Solution File: ALG154+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG154+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 : n012.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 16:38:23 EDT 2023
% Result : Unsatisfiable 31.57s 4.91s
% Output : Proof 165.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG154+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 05:30:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 ________ _____
% 0.21/0.57 ___ __ \_________(_)________________________________
% 0.21/0.57 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.57 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.57 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.57
% 0.21/0.57 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.57 (2023-06-19)
% 0.21/0.57
% 0.21/0.57 (c) Philipp Rümmer, 2009-2023
% 0.21/0.57 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.57 Amanda Stjerna.
% 0.21/0.57 Free software under BSD-3-Clause.
% 0.21/0.57
% 0.21/0.57 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.57
% 0.21/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.59 Running up to 7 provers in parallel.
% 0.21/0.60 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.60 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.60 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.60 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.60 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.60 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.60 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 5.49/1.46 Prover 4: Preprocessing ...
% 5.49/1.47 Prover 1: Preprocessing ...
% 5.49/1.50 Prover 0: Preprocessing ...
% 5.49/1.50 Prover 6: Preprocessing ...
% 5.49/1.50 Prover 3: Preprocessing ...
% 5.49/1.50 Prover 5: Preprocessing ...
% 5.49/1.50 Prover 2: Preprocessing ...
% 9.12/1.99 Prover 3: Constructing countermodel ...
% 9.12/2.00 Prover 2: Constructing countermodel ...
% 9.12/2.04 Prover 4: Constructing countermodel ...
% 9.12/2.05 Prover 0: Constructing countermodel ...
% 9.42/2.05 Prover 1: Constructing countermodel ...
% 9.42/2.05 Prover 6: Constructing countermodel ...
% 11.62/2.29 Prover 5: Constructing countermodel ...
% 31.52/4.91 Prover 6: proved (4306ms)
% 31.52/4.91
% 31.57/4.91 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.57/4.91
% 31.57/4.91 Prover 2: stopped
% 31.57/4.91 Prover 5: stopped
% 31.57/4.92 Prover 3: stopped
% 31.57/4.92 Prover 0: stopped
% 31.57/4.93 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 31.57/4.93 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 31.57/4.93 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 31.57/4.93 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 31.57/4.94 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 33.01/5.17 Prover 7: Preprocessing ...
% 33.87/5.20 Prover 10: Preprocessing ...
% 33.87/5.21 Prover 8: Preprocessing ...
% 33.87/5.21 Prover 11: Preprocessing ...
% 33.87/5.22 Prover 13: Preprocessing ...
% 34.19/5.34 Prover 8: Constructing countermodel ...
% 34.19/5.38 Prover 7: Constructing countermodel ...
% 34.19/5.39 Prover 10: Constructing countermodel ...
% 35.44/5.45 Prover 11: Constructing countermodel ...
% 35.44/5.46 Prover 13: Constructing countermodel ...
% 70.37/10.05 Prover 13: stopped
% 70.37/10.07 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 72.16/10.20 Prover 16: Preprocessing ...
% 73.24/10.33 Prover 16: Constructing countermodel ...
% 113.36/15.61 Prover 16: stopped
% 113.36/15.61 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 114.35/15.69 Prover 19: Preprocessing ...
% 115.67/15.89 Prover 19: Constructing countermodel ...
% 116.32/15.96 Prover 1: stopped
% 140.30/19.35 Prover 19: stopped
% 151.68/21.29 Prover 11: Found proof (size 542745)
% 151.68/21.29 Prover 11: proved (16362ms)
% 151.68/21.30 Prover 8: stopped
% 151.68/21.30 Prover 4: stopped
% 151.68/21.30 Prover 10: stopped
% 151.68/21.30 Prover 7: stopped
% 151.68/21.30
% 151.68/21.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 151.68/21.30
% 153.93/21.90 % SZS output start Proof for theBenchmark
% 154.14/22.04 Assumptions after simplification:
% 154.14/22.04 ---------------------------------
% 154.14/22.04
% 154.14/22.04 (ax1)
% 154.35/22.08 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.35/22.08 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 154.35/22.08 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 154.35/22.08 $i] : ? [v14: $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 154.35/22.08 op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 154.35/22.08 op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 154.35/22.08 op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 154.35/22.08 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 154.35/22.08 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 154.35/22.08 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 154.35/22.08 e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 154.35/22.08 v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 154.35/22.08 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 154.35/22.08 v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 154.35/22.08 v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 154.35/22.08 v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 154.35/22.09 (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 154.35/22.09 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 154.35/22.09 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 154.35/22.09
% 154.35/22.09 (ax10)
% 154.35/22.09 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.35/22.09 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e2, e0) = v2 &
% 154.35/22.09 $i(v2)) | ( ~ (v1 = e3) & op(e2, e2) = v1 & $i(v1))))
% 154.35/22.09
% 154.35/22.09 (ax11)
% 154.35/22.09 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.35/22.09 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e1, e0) = v2 &
% 154.35/22.09 $i(v2)) | ( ~ (v1 = e3) & op(e1, e1) = v1 & $i(v1))))
% 154.35/22.09
% 154.35/22.09 (ax12)
% 154.35/22.09 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.35/22.09 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e3, e1) = v2 &
% 154.35/22.09 $i(v2)) | ( ~ (v1 = e0) & op(e3, e3) = v1 & $i(v1))))
% 154.35/22.09
% 154.35/22.09 (ax13)
% 154.35/22.10 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.35/22.10 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e2, e1) = v2 &
% 154.35/22.10 $i(v2)) | ( ~ (v1 = e0) & op(e2, e2) = v1 & $i(v1))))
% 154.35/22.10
% 154.35/22.10 (ax14)
% 154.35/22.10 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.35/22.10 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e3, e1) = v2 &
% 154.35/22.10 $i(v2)) | ( ~ (v1 = e2) & op(e3, e3) = v1 & $i(v1))))
% 154.35/22.10
% 154.35/22.10 (ax15)
% 154.35/22.10 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.35/22.10 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e0, e1) = v2 &
% 154.35/22.10 $i(v2)) | ( ~ (v1 = e2) & op(e0, e0) = v1 & $i(v1))))
% 154.35/22.10
% 154.35/22.10 (ax16)
% 154.47/22.10 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.47/22.10 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e2, e1) = v2 &
% 154.47/22.10 $i(v2)) | ( ~ (v1 = e3) & op(e2, e2) = v1 & $i(v1))))
% 154.47/22.10
% 154.47/22.10 (ax17)
% 154.47/22.10 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.47/22.10 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e0, e1) = v2 &
% 154.47/22.10 $i(v2)) | ( ~ (v1 = e3) & op(e0, e0) = v1 & $i(v1))))
% 154.47/22.10
% 154.47/22.10 (ax18)
% 154.47/22.11 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.47/22.11 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e3, e2) = v2 &
% 154.47/22.11 $i(v2)) | ( ~ (v1 = e0) & op(e3, e3) = v1 & $i(v1))))
% 154.47/22.11
% 154.47/22.11 (ax19)
% 154.47/22.11 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.47/22.11 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e1, e2) = v2 &
% 154.47/22.11 $i(v2)) | ( ~ (v1 = e0) & op(e1, e1) = v1 & $i(v1))))
% 154.47/22.11
% 154.47/22.11 (ax2)
% 154.57/22.14 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.14 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 154.57/22.14 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 154.57/22.14 $i] : ? [v14: $i] : ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 =
% 154.57/22.14 e3 & op(e3, e2) = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3,
% 154.57/22.14 e0) = e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 154.57/22.14 e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3)) & ((v15
% 154.57/22.14 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11 = e2 &
% 154.57/22.14 op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 = e2 & op(e3,
% 154.57/22.14 e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 & op(e1, e3) = e2)
% 154.57/22.14 | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 & op(e3, e3) = e1) | (v14 = e1
% 154.57/22.14 & op(e3, e2) = e1) | (v11 = e1 & op(e3, e1) = e1) | (v6 = e1 & op(e3,
% 154.57/22.14 e0) = e1)) & ((v15 = e1 & op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) =
% 154.57/22.14 e1) | (v9 = e1 & op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15
% 154.57/22.14 = e0 & op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 154.57/22.14 op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 & op(e3,
% 154.57/22.14 e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 & op(e1, e3) = e0)
% 154.57/22.14 | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 & op(e3, e2) = e3) | (v12 = e3
% 154.57/22.14 & op(e2, e2) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v2 = e3 & op(e0, e2)
% 154.57/22.14 = e3)) & ((v14 = e2 & op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 154.57/22.14 (v8 = e2 & op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 154.57/22.14 op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 & op(e1, e2)
% 154.57/22.14 = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 & op(e3, e2) = e0) |
% 154.57/22.14 (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v2 = e0 &
% 154.57/22.14 op(e0, e2) = e0)) & ((v13 = e3 & op(e2, e3) = e3) | (v12 = e3 & op(e2,
% 154.57/22.14 e2) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) =
% 154.57/22.14 e3)) & ((v13 = e2 & op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 154.57/22.14 (v10 = e2 & op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 154.57/22.14 op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 & op(e2, e1)
% 154.57/22.14 = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 & op(e2, e3) = e0) |
% 154.57/22.14 (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v5 = e0 &
% 154.57/22.14 op(e2, e0) = e0)) & ((v11 = e3 & op(e3, e1) = e3) | (v10 = e3 & op(e2,
% 154.57/22.14 e1) = e3) | (v7 = e3 & op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3))
% 154.57/22.14 & ((v11 = e2 & op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 154.57/22.14 op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 & op(e3,
% 154.57/22.14 e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 & op(e1, e1) = e1)
% 154.57/22.14 | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 & op(e3, e1) = e0) | (v10 = e0
% 154.57/22.14 & op(e2, e1) = e0) | (v7 = e0 & op(e1, e1) = e0) | (v1 = e0 & op(e0, e1)
% 154.57/22.14 = e0)) & ((v9 = e3 & op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) |
% 154.57/22.14 (v7 = e3 & op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 154.57/22.14 op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 & op(e1, e1) =
% 154.57/22.14 e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 & op(e1, e3) = e1) | (v8
% 154.57/22.14 = e1 & op(e1, e2) = e1) | (v7 = e1 & op(e1, e1) = e1) | (v4 = e1 &
% 154.57/22.14 op(e1, e0) = e1)) & ((v9 = e0 & op(e1, e3) = e0) | (v8 = e0 & op(e1, e2)
% 154.57/22.14 = e0) | (v7 = e0 & op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) &
% 154.57/22.14 ((v6 = e3 & op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 154.57/22.14 op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 & op(e3, e0)
% 154.57/22.14 = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 & op(e1, e0) = e2) | (v0
% 154.57/22.14 = e2 & op(e0, e0) = e2)) & ((v6 = e1 & op(e3, e0) = e1) | (v5 = e1 &
% 154.57/22.14 op(e2, e0) = e1) | (v4 = e1 & op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) =
% 154.57/22.14 e1)) & ((v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1
% 154.57/22.14 = e3 & op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 154.57/22.14 op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 & op(e0, e1) =
% 154.57/22.14 e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 & op(e0, e3) = e1) | (v2
% 154.57/22.14 = e1 & op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 &
% 154.57/22.14 op(e0, e0) = e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v6 = e0 & op(e3,
% 154.57/22.14 e0) = e0) | (v5 = e0 & op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) =
% 154.57/22.14 e0)) & ((v3 = e0 & op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) |
% 154.57/22.14 (v1 = e0 & op(e0, e1) = e0)))))
% 154.57/22.14
% 154.57/22.14 (ax20)
% 154.57/22.14 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.14 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e3, e2) = v2 &
% 154.57/22.15 $i(v2)) | ( ~ (v1 = e1) & op(e3, e3) = v1 & $i(v1))))
% 154.57/22.15
% 154.57/22.15 (ax21)
% 154.57/22.15 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.15 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e0, e2) = v2 &
% 154.57/22.15 $i(v2)) | ( ~ (v1 = e1) & op(e0, e0) = v1 & $i(v1))))
% 154.57/22.15
% 154.57/22.15 (ax22)
% 154.57/22.15 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.15 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e1, e2) = v2 &
% 154.57/22.15 $i(v2)) | ( ~ (v1 = e3) & op(e1, e1) = v1 & $i(v1))))
% 154.57/22.15
% 154.57/22.15 (ax23)
% 154.57/22.15 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.15 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e0, e2) = v2 &
% 154.57/22.15 $i(v2)) | ( ~ (v1 = e3) & op(e0, e0) = v1 & $i(v1))))
% 154.57/22.15
% 154.57/22.15 (ax24)
% 154.57/22.15 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.15 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e2, e3) = v2 &
% 154.57/22.15 $i(v2)) | ( ~ (v1 = e0) & op(e2, e2) = v1 & $i(v1))))
% 154.57/22.15
% 154.57/22.15 (ax25)
% 154.57/22.15 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.15 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e1, e3) = v2 &
% 154.57/22.15 $i(v2)) | ( ~ (v1 = e0) & op(e1, e1) = v1 & $i(v1))))
% 154.57/22.15
% 154.57/22.15 (ax26)
% 154.57/22.16 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.16 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e2, e3) = v2 &
% 154.57/22.16 $i(v2)) | ( ~ (v1 = e1) & op(e2, e2) = v1 & $i(v1))))
% 154.57/22.16
% 154.57/22.16 (ax27)
% 154.57/22.16 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.16 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e0, e3) = v2 &
% 154.57/22.16 $i(v2)) | ( ~ (v1 = e1) & op(e0, e0) = v1 & $i(v1))))
% 154.57/22.16
% 154.57/22.16 (ax28)
% 154.57/22.16 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.16 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e1, e3) = v2 &
% 154.57/22.16 $i(v2)) | ( ~ (v1 = e2) & op(e1, e1) = v1 & $i(v1))))
% 154.57/22.16
% 154.57/22.16 (ax29)
% 154.57/22.16 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.16 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e0, e3) = v2 &
% 154.57/22.16 $i(v2)) | ( ~ (v1 = e2) & op(e0, e0) = v1 & $i(v1))))
% 154.57/22.16
% 154.57/22.16 (ax3)
% 154.57/22.17 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.17 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 154.57/22.17 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 154.57/22.17 $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~
% 154.57/22.17 (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 154.57/22.17 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 154.57/22.17 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 154.57/22.17 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 154.57/22.17 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 154.57/22.17 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 154.57/22.17 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 154.57/22.17 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 154.57/22.17 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 154.57/22.17 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 154.57/22.17 v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 154.57/22.17 v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 154.57/22.17 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 154.57/22.17 op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 154.57/22.17 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 154.57/22.17 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 154.57/22.17
% 154.57/22.17 (ax4)
% 154.57/22.17 ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~
% 154.57/22.17 (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 154.57/22.17
% 154.57/22.17 (ax5)
% 154.57/22.19 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.19 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 154.57/22.19 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 154.57/22.19 $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18:
% 154.57/22.19 $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23:
% 154.57/22.19 $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 154.57/22.19 $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (((v31 = e3 & v30 = e2 &
% 154.57/22.19 v29 = e1 & v28 = e0 & op(e3, v12) = e2 & op(e3, v9) = e1 & op(e3, v6) =
% 154.57/22.19 e0 & op(e3, v5) = e3 & op(e3, e3) = v5 & op(e3, e2) = v12 & op(e3, e1) =
% 154.57/22.19 v9 & op(e3, e0) = v6 & $i(v12) & $i(v9) & $i(v6) & $i(v5) & ((v15 = e2 &
% 154.57/22.19 op(e2, e3) = e2) | ( ~ (v3 = e3) & op(e2, e2) = v3 & $i(v3))) &
% 154.57/22.19 ((v14 = e1 & op(e1, e3) = e1) | ( ~ (v1 = e3) & op(e1, e1) = v1 &
% 154.57/22.19 $i(v1))) & ((v13 = e0 & op(e0, e3) = e0) | ( ~ (v0 = e3) & op(e0,
% 154.57/22.19 e0) = v0 & $i(v0)))) | (v27 = e3 & v26 = e2 & v25 = e1 & v24 = e0
% 154.57/22.19 & op(e2, v15) = e3 & op(e2, v8) = e1 & op(e2, v4) = e0 & op(e2, v3) = e2
% 154.57/22.19 & op(e2, e3) = v15 & op(e2, e2) = v3 & op(e2, e1) = v8 & op(e2, e0) = v4
% 154.57/22.19 & $i(v15) & $i(v8) & $i(v4) & $i(v3) & ((v12 = e3 & op(e3, e2) = e3) | (
% 154.57/22.19 ~ (v5 = e2) & op(e3, e3) = v5 & $i(v5))) & ((v11 = e1 & op(e1, e2) =
% 154.57/22.19 e1) | ( ~ (v1 = e2) & op(e1, e1) = v1 & $i(v1))) & ((v10 = e0 &
% 154.57/22.19 op(e0, e2) = e0) | ( ~ (v0 = e2) & op(e0, e0) = v0 & $i(v0)))) |
% 154.57/22.19 (v23 = e3 & v22 = e2 & v21 = e1 & v20 = e0 & op(e1, v14) = e3 & op(e1,
% 154.57/22.19 v11) = e2 & op(e1, v2) = e0 & op(e1, v1) = e1 & op(e1, e3) = v14 &
% 154.57/22.19 op(e1, e2) = v11 & op(e1, e1) = v1 & op(e1, e0) = v2 & $i(v14) & $i(v11)
% 154.57/22.19 & $i(v2) & $i(v1) & ((v9 = e3 & op(e3, e1) = e3) | ( ~ (v5 = e1) &
% 154.57/22.19 op(e3, e3) = v5 & $i(v5))) & ((v8 = e2 & op(e2, e1) = e2) | ( ~ (v3
% 154.57/22.19 = e1) & op(e2, e2) = v3 & $i(v3))) & ((v7 = e0 & op(e0, e1) = e0)
% 154.57/22.19 | ( ~ (v0 = e1) & op(e0, e0) = v0 & $i(v0)))) | (v19 = e3 & v18 = e2 &
% 154.57/22.19 v17 = e1 & v16 = e0 & op(e0, v13) = e3 & op(e0, v10) = e2 & op(e0, v7) =
% 154.57/22.19 e1 & op(e0, v0) = e0 & op(e0, e3) = v13 & op(e0, e2) = v10 & op(e0, e1)
% 154.57/22.19 = v7 & op(e0, e0) = v0 & $i(v13) & $i(v10) & $i(v7) & $i(v0) & ((v6 = e3
% 154.57/22.19 & op(e3, e0) = e3) | ( ~ (v5 = e0) & op(e3, e3) = v5 & $i(v5))) &
% 154.57/22.19 ((v4 = e2 & op(e2, e0) = e2) | ( ~ (v3 = e0) & op(e2, e2) = v3 &
% 154.57/22.19 $i(v3))) & ((v2 = e1 & op(e1, e0) = e1) | ( ~ (v1 = e0) & op(e1, e1)
% 154.57/22.19 = v1 & $i(v1))))) & ((v15 = e2 & v1 = e3 & ~ (v14 = e1) & ~ (v3 =
% 154.57/22.19 e3) & op(e2, e3) = e2 & op(e2, e2) = v3 & op(e1, e3) = v14 & op(e1,
% 154.57/22.19 e1) = e3 & $i(v14) & $i(v3)) | (v15 = e2 & v0 = e3 & ~ (v13 = e0) &
% 154.57/22.19 ~ (v3 = e3) & op(e2, e3) = e2 & op(e2, e2) = v3 & op(e0, e3) = v13 &
% 154.57/22.19 op(e0, e0) = e3 & $i(v13) & $i(v3)) | (v14 = e1 & v3 = e3 & ~ (v15 =
% 154.57/22.19 e2) & ~ (v1 = e3) & op(e2, e3) = v15 & op(e2, e2) = e3 & op(e1, e3) =
% 154.57/22.19 e1 & op(e1, e1) = v1 & $i(v15) & $i(v1)) | (v14 = e1 & v0 = e3 & ~ (v13
% 154.57/22.19 = e0) & ~ (v1 = e3) & op(e1, e3) = e1 & op(e1, e1) = v1 & op(e0, e3)
% 154.57/22.19 = v13 & op(e0, e0) = e3 & $i(v13) & $i(v1)) | (v12 = e3 & v1 = e2 & ~
% 154.57/22.19 (v11 = e1) & ~ (v5 = e2) & op(e3, e3) = v5 & op(e3, e2) = e3 & op(e1,
% 154.57/22.19 e2) = v11 & op(e1, e1) = e2 & $i(v11) & $i(v5)) | (v12 = e3 & v0 = e2
% 154.57/22.19 & ~ (v10 = e0) & ~ (v5 = e2) & op(e3, e3) = v5 & op(e3, e2) = e3 &
% 154.57/22.19 op(e0, e2) = v10 & op(e0, e0) = e2 & $i(v10) & $i(v5)) | (v11 = e1 & v5
% 154.57/22.19 = e2 & ~ (v12 = e3) & ~ (v1 = e2) & op(e3, e3) = e2 & op(e3, e2) = v12
% 154.57/22.19 & op(e1, e2) = e1 & op(e1, e1) = v1 & $i(v12) & $i(v1)) | (v11 = e1 & v0
% 154.57/22.19 = e2 & ~ (v10 = e0) & ~ (v1 = e2) & op(e1, e2) = e1 & op(e1, e1) = v1
% 154.57/22.19 & op(e0, e2) = v10 & op(e0, e0) = e2 & $i(v10) & $i(v1)) | (v9 = e3 & v3
% 154.57/22.19 = e1 & ~ (v8 = e2) & ~ (v5 = e1) & op(e3, e3) = v5 & op(e3, e1) = e3 &
% 154.57/22.19 op(e2, e2) = e1 & op(e2, e1) = v8 & $i(v8) & $i(v5)) | (v9 = e3 & v0 =
% 154.57/22.19 e1 & ~ (v7 = e0) & ~ (v5 = e1) & op(e3, e3) = v5 & op(e3, e1) = e3 &
% 154.57/22.19 op(e0, e1) = v7 & op(e0, e0) = e1 & $i(v7) & $i(v5)) | (v8 = e2 & v5 =
% 154.57/22.19 e1 & ~ (v9 = e3) & ~ (v3 = e1) & op(e3, e3) = e1 & op(e3, e1) = v9 &
% 154.57/22.19 op(e2, e2) = v3 & op(e2, e1) = e2 & $i(v9) & $i(v3)) | (v8 = e2 & v0 =
% 154.57/22.19 e1 & ~ (v7 = e0) & ~ (v3 = e1) & op(e2, e2) = v3 & op(e2, e1) = e2 &
% 154.57/22.19 op(e0, e1) = v7 & op(e0, e0) = e1 & $i(v7) & $i(v3)) | (v6 = e3 & v3 =
% 154.57/22.19 e0 & ~ (v5 = e0) & ~ (v4 = e2) & op(e3, e3) = v5 & op(e3, e0) = e3 &
% 154.57/22.19 op(e2, e2) = e0 & op(e2, e0) = v4 & $i(v5) & $i(v4)) | (v6 = e3 & v1 =
% 154.57/22.19 e0 & ~ (v5 = e0) & ~ (v2 = e1) & op(e3, e3) = v5 & op(e3, e0) = e3 &
% 154.57/22.19 op(e1, e1) = e0 & op(e1, e0) = v2 & $i(v5) & $i(v2)) | (v5 = e0 & v4 =
% 154.57/22.19 e2 & ~ (v6 = e3) & ~ (v3 = e0) & op(e3, e3) = e0 & op(e3, e0) = v6 &
% 154.57/22.19 op(e2, e2) = v3 & op(e2, e0) = e2 & $i(v6) & $i(v3)) | (v5 = e0 & v2 =
% 154.57/22.19 e1 & ~ (v6 = e3) & ~ (v1 = e0) & op(e3, e3) = e0 & op(e3, e0) = v6 &
% 154.57/22.19 op(e1, e1) = v1 & op(e1, e0) = e1 & $i(v6) & $i(v1)) | (v4 = e2 & v1 =
% 154.57/22.19 e0 & ~ (v3 = e0) & ~ (v2 = e1) & op(e2, e2) = v3 & op(e2, e0) = e2 &
% 154.57/22.19 op(e1, e1) = e0 & op(e1, e0) = v2 & $i(v3) & $i(v2)) | (v3 = e0 & v2 =
% 154.57/22.19 e1 & ~ (v4 = e2) & ~ (v1 = e0) & op(e2, e2) = e0 & op(e2, e0) = v4 &
% 154.57/22.19 op(e1, e1) = v1 & op(e1, e0) = e1 & $i(v4) & $i(v1)) | (op(e0, e0) = v0
% 154.57/22.19 & $i(v0) & ((v13 = e0 & v3 = e3 & ~ (v15 = e2) & ~ (v0 = e3) & op(e2,
% 154.57/22.19 e3) = v15 & op(e2, e2) = e3 & op(e0, e3) = e0 & $i(v15)) | (v13 =
% 154.57/22.19 e0 & v1 = e3 & ~ (v14 = e1) & ~ (v0 = e3) & op(e1, e3) = v14 &
% 154.57/22.19 op(e1, e1) = e3 & op(e0, e3) = e0 & $i(v14)) | (v10 = e0 & v5 = e2 &
% 154.57/22.19 ~ (v12 = e3) & ~ (v0 = e2) & op(e3, e3) = e2 & op(e3, e2) = v12 &
% 154.57/22.19 op(e0, e2) = e0 & $i(v12)) | (v10 = e0 & v1 = e2 & ~ (v11 = e1) &
% 154.57/22.19 ~ (v0 = e2) & op(e1, e2) = v11 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 154.57/22.19 $i(v11)) | (v7 = e0 & v5 = e1 & ~ (v9 = e3) & ~ (v0 = e1) & op(e3,
% 154.57/22.19 e3) = e1 & op(e3, e1) = v9 & op(e0, e1) = e0 & $i(v9)) | (v7 = e0
% 154.57/22.19 & v3 = e1 & ~ (v8 = e2) & ~ (v0 = e1) & op(e2, e2) = e1 & op(e2,
% 154.57/22.19 e1) = v8 & op(e0, e1) = e0 & $i(v8))))))
% 154.57/22.19
% 154.57/22.19 (ax6)
% 154.57/22.20 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.20 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e3, e0) = v2 &
% 154.57/22.20 $i(v2)) | ( ~ (v1 = e1) & op(e3, e3) = v1 & $i(v1))))
% 154.57/22.20
% 154.57/22.20 (ax7)
% 154.57/22.20 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.20 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e2, e0) = v2 &
% 154.57/22.20 $i(v2)) | ( ~ (v1 = e1) & op(e2, e2) = v1 & $i(v1))))
% 154.57/22.20
% 154.57/22.20 (ax8)
% 154.57/22.20 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.20 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e3, e0) = v2 &
% 154.57/22.20 $i(v2)) | ( ~ (v1 = e2) & op(e3, e3) = v1 & $i(v1))))
% 154.57/22.20
% 154.57/22.20 (ax9)
% 154.57/22.20 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 154.57/22.20 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e1, e0) = v2 &
% 154.57/22.20 $i(v2)) | ( ~ (v1 = e2) & op(e1, e1) = v1 & $i(v1))))
% 154.57/22.20
% 154.57/22.20 (function-axioms)
% 154.57/22.20 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 154.57/22.20 v2) = v1) | ~ (op(v3, v2) = v0))
% 154.57/22.20
% 154.57/22.20 Those formulas are unsatisfiable:
% 154.57/22.20 ---------------------------------
% 154.57/22.20
% 154.57/22.20 Begin of proof
% 154.57/22.20 |
% 154.57/22.20 | ALPHA: (ax1) implies:
% 154.57/22.21 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 154.57/22.21 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 154.57/22.21 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 154.57/22.21 | ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 154.57/22.21 | & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 154.57/22.21 | = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 154.57/22.21 | e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 154.57/22.21 | op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 154.57/22.21 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 154.57/22.21 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 154.57/22.21 | = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 154.57/22.21 | = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 154.57/22.21 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 154.57/22.21 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 154.57/22.21 | | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 154.57/22.21 | = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 154.57/22.21 | e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 154.57/22.21 | (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 154.57/22.21 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 154.57/22.21 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 154.57/22.21 | = e0))
% 154.57/22.21 |
% 154.57/22.21 | ALPHA: (ax2) implies:
% 155.04/22.22 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 155.04/22.22 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 155.04/22.22 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 155.04/22.22 | ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 = e3 & op(e3, e2)
% 155.04/22.22 | = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3, e0) =
% 155.04/22.22 | e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 155.04/22.22 | e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3))
% 155.04/22.22 | & ((v15 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11
% 155.04/22.22 | = e2 & op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 =
% 155.04/22.22 | e2 & op(e3, e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 &
% 155.04/22.22 | op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 &
% 155.04/22.22 | op(e3, e3) = e1) | (v14 = e1 & op(e3, e2) = e1) | (v11 = e1 &
% 155.04/22.22 | op(e3, e1) = e1) | (v6 = e1 & op(e3, e0) = e1)) & ((v15 = e1 &
% 155.04/22.22 | op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) = e1) | (v9 = e1 &
% 155.04/22.22 | op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15 = e0 &
% 155.04/22.22 | op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 155.04/22.22 | op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 &
% 155.04/22.22 | op(e3, e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 &
% 155.04/22.22 | op(e1, e3) = e0) | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 &
% 155.04/22.22 | op(e3, e2) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v8 = e3 &
% 155.04/22.22 | op(e1, e2) = e3) | (v2 = e3 & op(e0, e2) = e3)) & ((v14 = e2 &
% 155.04/22.22 | op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v8 = e2 &
% 155.04/22.22 | op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 155.04/22.22 | op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 &
% 155.04/22.22 | op(e1, e2) = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 &
% 155.04/22.22 | op(e3, e2) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 &
% 155.04/22.22 | op(e1, e2) = e0) | (v2 = e0 & op(e0, e2) = e0)) & ((v13 = e3 &
% 155.04/22.22 | op(e2, e3) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v10 = e3 &
% 155.04/22.22 | op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) = e3)) & ((v13 = e2 &
% 155.04/22.22 | op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v10 = e2 &
% 155.04/22.22 | op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 155.04/22.22 | op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 &
% 155.04/22.22 | op(e2, e1) = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 &
% 155.04/22.22 | op(e2, e3) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 &
% 155.04/22.22 | op(e2, e1) = e0) | (v5 = e0 & op(e2, e0) = e0)) & ((v11 = e3 &
% 155.04/22.22 | op(e3, e1) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v7 = e3 &
% 155.04/22.22 | op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3)) & ((v11 = e2 &
% 155.04/22.22 | op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 155.04/22.22 | op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 &
% 155.04/22.22 | op(e3, e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 &
% 155.04/22.22 | op(e1, e1) = e1) | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 &
% 155.04/22.22 | op(e3, e1) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v7 = e0 &
% 155.04/22.22 | op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = e0)) & ((v9 = e3 &
% 155.04/22.22 | op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v7 = e3 &
% 155.04/22.22 | op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 155.04/22.22 | op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 &
% 155.04/22.22 | op(e1, e1) = e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 &
% 155.04/22.22 | op(e1, e3) = e1) | (v8 = e1 & op(e1, e2) = e1) | (v7 = e1 &
% 155.04/22.22 | op(e1, e1) = e1) | (v4 = e1 & op(e1, e0) = e1)) & ((v9 = e0 &
% 155.04/22.22 | op(e1, e3) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v7 = e0 &
% 155.04/22.22 | op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v6 = e3 &
% 155.04/22.22 | op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 155.04/22.22 | op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 &
% 155.04/22.22 | op(e3, e0) = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 &
% 155.04/22.22 | op(e1, e0) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v6 = e1 &
% 155.04/22.22 | op(e3, e0) = e1) | (v5 = e1 & op(e2, e0) = e1) | (v4 = e1 &
% 155.04/22.22 | op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v3 = e3 &
% 155.04/22.22 | op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1 = e3 &
% 155.04/22.22 | op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 155.04/22.22 | op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 &
% 155.04/22.22 | op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 &
% 155.04/22.22 | op(e0, e3) = e1) | (v2 = e1 & op(e0, e2) = e1) | (v1 = e1 &
% 155.04/22.22 | op(e0, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v0 = e0 &
% 155.04/22.22 | op(e0, e0) = e0) | (((v6 = e0 & op(e3, e0) = e0) | (v5 = e0 &
% 155.04/22.22 | op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v3 = e0 &
% 155.04/22.22 | op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) | (v1 = e0 &
% 155.04/22.22 | op(e0, e1) = e0)))))
% 155.04/22.22 |
% 155.04/22.22 | ALPHA: (ax3) implies:
% 155.04/22.23 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 155.04/22.23 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 155.04/22.23 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 155.04/22.23 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 155.04/22.23 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 155.04/22.23 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 155.04/22.23 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 155.04/22.23 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 155.04/22.23 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 155.04/22.23 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 155.04/22.23 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 155.04/22.23 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 155.04/22.23 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 155.04/22.23 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 155.04/22.23 | v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) = v11 & op(e3,
% 155.04/22.23 | e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) = v10 &
% 155.04/22.23 | op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) =
% 155.04/22.23 | v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0,
% 155.04/22.23 | e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) &
% 155.04/22.23 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 155.04/22.23 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 155.04/22.23 |
% 155.04/22.23 | ALPHA: (ax4) implies:
% 155.04/22.23 | (4) ~ (e1 = e0)
% 155.04/22.23 | (5) ~ (e2 = e0)
% 155.04/22.23 | (6) ~ (e2 = e1)
% 155.04/22.23 | (7) ~ (e3 = e0)
% 155.04/22.23 | (8) ~ (e3 = e1)
% 155.04/22.23 | (9) ~ (e3 = e2)
% 155.04/22.23 |
% 155.04/22.23 | ALPHA: (ax5) implies:
% 155.04/22.24 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 155.04/22.24 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 155.04/22.24 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 155.04/22.24 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 155.04/22.24 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 155.04/22.24 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 155.04/22.24 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (((v31 = e3 & v30
% 155.04/22.24 | = e2 & v29 = e1 & v28 = e0 & op(e3, v12) = e2 & op(e3, v9) = e1
% 155.04/22.24 | & op(e3, v6) = e0 & op(e3, v5) = e3 & op(e3, e3) = v5 & op(e3,
% 155.04/22.24 | e2) = v12 & op(e3, e1) = v9 & op(e3, e0) = v6 & $i(v12) &
% 155.04/22.24 | $i(v9) & $i(v6) & $i(v5) & ((v15 = e2 & op(e2, e3) = e2) | ( ~
% 155.04/22.24 | (v3 = e3) & op(e2, e2) = v3 & $i(v3))) & ((v14 = e1 & op(e1,
% 155.04/22.24 | e3) = e1) | ( ~ (v1 = e3) & op(e1, e1) = v1 & $i(v1))) &
% 155.04/22.24 | ((v13 = e0 & op(e0, e3) = e0) | ( ~ (v0 = e3) & op(e0, e0) = v0
% 155.04/22.24 | & $i(v0)))) | (v27 = e3 & v26 = e2 & v25 = e1 & v24 = e0 &
% 155.04/22.24 | op(e2, v15) = e3 & op(e2, v8) = e1 & op(e2, v4) = e0 & op(e2,
% 155.04/22.24 | v3) = e2 & op(e2, e3) = v15 & op(e2, e2) = v3 & op(e2, e1) =
% 155.04/22.24 | v8 & op(e2, e0) = v4 & $i(v15) & $i(v8) & $i(v4) & $i(v3) &
% 155.04/22.24 | ((v12 = e3 & op(e3, e2) = e3) | ( ~ (v5 = e2) & op(e3, e3) = v5
% 155.04/22.24 | & $i(v5))) & ((v11 = e1 & op(e1, e2) = e1) | ( ~ (v1 = e2) &
% 155.04/22.25 | op(e1, e1) = v1 & $i(v1))) & ((v10 = e0 & op(e0, e2) = e0) |
% 155.04/22.25 | ( ~ (v0 = e2) & op(e0, e0) = v0 & $i(v0)))) | (v23 = e3 & v22
% 155.04/22.25 | = e2 & v21 = e1 & v20 = e0 & op(e1, v14) = e3 & op(e1, v11) = e2
% 155.04/22.25 | & op(e1, v2) = e0 & op(e1, v1) = e1 & op(e1, e3) = v14 & op(e1,
% 155.04/22.25 | e2) = v11 & op(e1, e1) = v1 & op(e1, e0) = v2 & $i(v14) &
% 155.04/22.25 | $i(v11) & $i(v2) & $i(v1) & ((v9 = e3 & op(e3, e1) = e3) | ( ~
% 155.04/22.25 | (v5 = e1) & op(e3, e3) = v5 & $i(v5))) & ((v8 = e2 & op(e2,
% 155.04/22.25 | e1) = e2) | ( ~ (v3 = e1) & op(e2, e2) = v3 & $i(v3))) &
% 155.04/22.25 | ((v7 = e0 & op(e0, e1) = e0) | ( ~ (v0 = e1) & op(e0, e0) = v0 &
% 155.04/22.25 | $i(v0)))) | (v19 = e3 & v18 = e2 & v17 = e1 & v16 = e0 &
% 155.04/22.25 | op(e0, v13) = e3 & op(e0, v10) = e2 & op(e0, v7) = e1 & op(e0,
% 155.04/22.25 | v0) = e0 & op(e0, e3) = v13 & op(e0, e2) = v10 & op(e0, e1) =
% 155.04/22.25 | v7 & op(e0, e0) = v0 & $i(v13) & $i(v10) & $i(v7) & $i(v0) &
% 155.04/22.25 | ((v6 = e3 & op(e3, e0) = e3) | ( ~ (v5 = e0) & op(e3, e3) = v5 &
% 155.04/22.25 | $i(v5))) & ((v4 = e2 & op(e2, e0) = e2) | ( ~ (v3 = e0) &
% 155.04/22.25 | op(e2, e2) = v3 & $i(v3))) & ((v2 = e1 & op(e1, e0) = e1) |
% 155.04/22.25 | ( ~ (v1 = e0) & op(e1, e1) = v1 & $i(v1))))) & ((v15 = e2 & v1
% 155.04/22.25 | = e3 & ~ (v14 = e1) & ~ (v3 = e3) & op(e2, e3) = e2 & op(e2,
% 155.04/22.25 | e2) = v3 & op(e1, e3) = v14 & op(e1, e1) = e3 & $i(v14) &
% 155.04/22.25 | $i(v3)) | (v15 = e2 & v0 = e3 & ~ (v13 = e0) & ~ (v3 = e3) &
% 155.04/22.25 | op(e2, e3) = e2 & op(e2, e2) = v3 & op(e0, e3) = v13 & op(e0,
% 155.04/22.25 | e0) = e3 & $i(v13) & $i(v3)) | (v14 = e1 & v3 = e3 & ~ (v15 =
% 155.04/22.25 | e2) & ~ (v1 = e3) & op(e2, e3) = v15 & op(e2, e2) = e3 &
% 155.04/22.25 | op(e1, e3) = e1 & op(e1, e1) = v1 & $i(v15) & $i(v1)) | (v14 =
% 155.04/22.25 | e1 & v0 = e3 & ~ (v13 = e0) & ~ (v1 = e3) & op(e1, e3) = e1 &
% 155.04/22.25 | op(e1, e1) = v1 & op(e0, e3) = v13 & op(e0, e0) = e3 & $i(v13) &
% 155.04/22.25 | $i(v1)) | (v12 = e3 & v1 = e2 & ~ (v11 = e1) & ~ (v5 = e2) &
% 155.04/22.25 | op(e3, e3) = v5 & op(e3, e2) = e3 & op(e1, e2) = v11 & op(e1,
% 155.04/22.25 | e1) = e2 & $i(v11) & $i(v5)) | (v12 = e3 & v0 = e2 & ~ (v10 =
% 155.04/22.25 | e0) & ~ (v5 = e2) & op(e3, e3) = v5 & op(e3, e2) = e3 &
% 155.04/22.25 | op(e0, e2) = v10 & op(e0, e0) = e2 & $i(v10) & $i(v5)) | (v11 =
% 155.04/22.25 | e1 & v5 = e2 & ~ (v12 = e3) & ~ (v1 = e2) & op(e3, e3) = e2 &
% 155.04/22.25 | op(e3, e2) = v12 & op(e1, e2) = e1 & op(e1, e1) = v1 & $i(v12) &
% 155.04/22.25 | $i(v1)) | (v11 = e1 & v0 = e2 & ~ (v10 = e0) & ~ (v1 = e2) &
% 155.04/22.25 | op(e1, e2) = e1 & op(e1, e1) = v1 & op(e0, e2) = v10 & op(e0,
% 155.04/22.25 | e0) = e2 & $i(v10) & $i(v1)) | (v9 = e3 & v3 = e1 & ~ (v8 =
% 155.04/22.25 | e2) & ~ (v5 = e1) & op(e3, e3) = v5 & op(e3, e1) = e3 &
% 155.04/22.25 | op(e2, e2) = e1 & op(e2, e1) = v8 & $i(v8) & $i(v5)) | (v9 = e3
% 155.04/22.25 | & v0 = e1 & ~ (v7 = e0) & ~ (v5 = e1) & op(e3, e3) = v5 &
% 155.04/22.25 | op(e3, e1) = e3 & op(e0, e1) = v7 & op(e0, e0) = e1 & $i(v7) &
% 155.04/22.25 | $i(v5)) | (v8 = e2 & v5 = e1 & ~ (v9 = e3) & ~ (v3 = e1) &
% 155.04/22.25 | op(e3, e3) = e1 & op(e3, e1) = v9 & op(e2, e2) = v3 & op(e2, e1)
% 155.04/22.25 | = e2 & $i(v9) & $i(v3)) | (v8 = e2 & v0 = e1 & ~ (v7 = e0) & ~
% 155.04/22.25 | (v3 = e1) & op(e2, e2) = v3 & op(e2, e1) = e2 & op(e0, e1) = v7
% 155.04/22.25 | & op(e0, e0) = e1 & $i(v7) & $i(v3)) | (v6 = e3 & v3 = e0 & ~
% 155.04/22.25 | (v5 = e0) & ~ (v4 = e2) & op(e3, e3) = v5 & op(e3, e0) = e3 &
% 155.04/22.25 | op(e2, e2) = e0 & op(e2, e0) = v4 & $i(v5) & $i(v4)) | (v6 = e3
% 155.04/22.25 | & v1 = e0 & ~ (v5 = e0) & ~ (v2 = e1) & op(e3, e3) = v5 &
% 155.04/22.25 | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = v2 & $i(v5) &
% 155.04/22.25 | $i(v2)) | (v5 = e0 & v4 = e2 & ~ (v6 = e3) & ~ (v3 = e0) &
% 155.04/22.25 | op(e3, e3) = e0 & op(e3, e0) = v6 & op(e2, e2) = v3 & op(e2, e0)
% 155.04/22.25 | = e2 & $i(v6) & $i(v3)) | (v5 = e0 & v2 = e1 & ~ (v6 = e3) & ~
% 155.04/22.25 | (v1 = e0) & op(e3, e3) = e0 & op(e3, e0) = v6 & op(e1, e1) = v1
% 155.04/22.25 | & op(e1, e0) = e1 & $i(v6) & $i(v1)) | (v4 = e2 & v1 = e0 & ~
% 155.04/22.25 | (v3 = e0) & ~ (v2 = e1) & op(e2, e2) = v3 & op(e2, e0) = e2 &
% 155.04/22.25 | op(e1, e1) = e0 & op(e1, e0) = v2 & $i(v3) & $i(v2)) | (v3 = e0
% 155.04/22.25 | & v2 = e1 & ~ (v4 = e2) & ~ (v1 = e0) & op(e2, e2) = e0 &
% 155.04/22.25 | op(e2, e0) = v4 & op(e1, e1) = v1 & op(e1, e0) = e1 & $i(v4) &
% 155.04/22.25 | $i(v1)) | (op(e0, e0) = v0 & $i(v0) & ((v13 = e0 & v3 = e3 & ~
% 155.04/22.25 | (v15 = e2) & ~ (v0 = e3) & op(e2, e3) = v15 & op(e2, e2) =
% 155.04/22.25 | e3 & op(e0, e3) = e0 & $i(v15)) | (v13 = e0 & v1 = e3 & ~
% 155.04/22.25 | (v14 = e1) & ~ (v0 = e3) & op(e1, e3) = v14 & op(e1, e1) =
% 155.04/22.25 | e3 & op(e0, e3) = e0 & $i(v14)) | (v10 = e0 & v5 = e2 & ~
% 155.04/22.25 | (v12 = e3) & ~ (v0 = e2) & op(e3, e3) = e2 & op(e3, e2) =
% 155.04/22.25 | v12 & op(e0, e2) = e0 & $i(v12)) | (v10 = e0 & v1 = e2 & ~
% 155.04/22.25 | (v11 = e1) & ~ (v0 = e2) & op(e1, e2) = v11 & op(e1, e1) =
% 155.04/22.25 | e2 & op(e0, e2) = e0 & $i(v11)) | (v7 = e0 & v5 = e1 & ~
% 155.04/22.25 | (v9 = e3) & ~ (v0 = e1) & op(e3, e3) = e1 & op(e3, e1) = v9
% 155.04/22.25 | & op(e0, e1) = e0 & $i(v9)) | (v7 = e0 & v3 = e1 & ~ (v8 =
% 155.04/22.25 | e2) & ~ (v0 = e1) & op(e2, e2) = e1 & op(e2, e1) = v8 &
% 155.04/22.25 | op(e0, e1) = e0 & $i(v8))))))
% 155.04/22.25 |
% 155.04/22.25 | ALPHA: (ax6) implies:
% 155.04/22.25 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 155.04/22.25 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e3, e0) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.25 | = e1) & op(e3, e3) = v1 & $i(v1))))
% 155.04/22.25 |
% 155.04/22.25 | ALPHA: (ax7) implies:
% 155.04/22.25 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 155.04/22.25 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e2, e0) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.25 | = e1) & op(e2, e2) = v1 & $i(v1))))
% 155.04/22.25 |
% 155.04/22.25 | ALPHA: (ax8) implies:
% 155.04/22.25 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 155.04/22.25 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e3, e0) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.25 | = e2) & op(e3, e3) = v1 & $i(v1))))
% 155.04/22.25 |
% 155.04/22.25 | ALPHA: (ax9) implies:
% 155.04/22.25 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 155.04/22.25 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e1, e0) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.25 | = e2) & op(e1, e1) = v1 & $i(v1))))
% 155.04/22.25 |
% 155.04/22.25 | ALPHA: (ax10) implies:
% 155.04/22.25 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 155.04/22.25 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e2, e0) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.25 | = e3) & op(e2, e2) = v1 & $i(v1))))
% 155.04/22.25 |
% 155.04/22.25 | ALPHA: (ax11) implies:
% 155.04/22.25 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 155.04/22.25 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e1, e0) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.25 | = e3) & op(e1, e1) = v1 & $i(v1))))
% 155.04/22.25 |
% 155.04/22.25 | ALPHA: (ax12) implies:
% 155.04/22.25 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 155.04/22.25 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(e3, e1) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.25 | = e0) & op(e3, e3) = v1 & $i(v1))))
% 155.04/22.25 |
% 155.04/22.25 | ALPHA: (ax13) implies:
% 155.04/22.25 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 155.04/22.25 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(e2, e1) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.25 | = e0) & op(e2, e2) = v1 & $i(v1))))
% 155.04/22.25 |
% 155.04/22.25 | ALPHA: (ax14) implies:
% 155.04/22.25 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 155.04/22.25 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e3, e1) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.25 | = e2) & op(e3, e3) = v1 & $i(v1))))
% 155.04/22.25 |
% 155.04/22.25 | ALPHA: (ax15) implies:
% 155.04/22.26 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e0, e1) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e2) & op(e0, e0) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.26 | ALPHA: (ax16) implies:
% 155.04/22.26 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e2, e1) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e3) & op(e2, e2) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.26 | ALPHA: (ax17) implies:
% 155.04/22.26 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e0, e1) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e3) & op(e0, e0) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.26 | ALPHA: (ax18) implies:
% 155.04/22.26 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(e3, e2) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e0) & op(e3, e3) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.26 | ALPHA: (ax19) implies:
% 155.04/22.26 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(e1, e2) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e0) & op(e1, e1) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.26 | ALPHA: (ax20) implies:
% 155.04/22.26 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(e3, e2) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e1) & op(e3, e3) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.26 | ALPHA: (ax21) implies:
% 155.04/22.26 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(e0, e2) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e1) & op(e0, e0) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.26 | ALPHA: (ax22) implies:
% 155.04/22.26 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e1, e2) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e3) & op(e1, e1) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.26 | ALPHA: (ax23) implies:
% 155.04/22.26 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e0, e2) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e3) & op(e0, e0) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.26 | ALPHA: (ax24) implies:
% 155.04/22.26 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(e2, e3) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e0) & op(e2, e2) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.26 | ALPHA: (ax25) implies:
% 155.04/22.26 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(e1, e3) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e0) & op(e1, e1) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.26 | ALPHA: (ax26) implies:
% 155.04/22.26 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(e2, e3) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e1) & op(e2, e2) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.26 | ALPHA: (ax27) implies:
% 155.04/22.26 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(e0, e3) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e1) & op(e0, e0) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.26 | ALPHA: (ax28) implies:
% 155.04/22.26 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(e1, e3) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e2) & op(e1, e1) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.26 | ALPHA: (ax29) implies:
% 155.04/22.26 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 155.04/22.26 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(e0, e3) = v2 & $i(v2)) | ( ~ (v1
% 155.04/22.26 | = e2) & op(e0, e0) = v1 & $i(v1))))
% 155.04/22.26 |
% 155.04/22.27 | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 155.04/22.27 | (35) op(e1, e1) = all_4_2 & $i(all_4_2) & ( ~ (all_4_2 = e0) | ( ~ (all_4_0
% 155.04/22.27 | = e3) & op(e0, e1) = all_4_0 & $i(all_4_0)) | ( ~ (all_4_1 = e2)
% 155.04/22.27 | & op(e0, e0) = all_4_1 & $i(all_4_1)))
% 155.04/22.27 |
% 155.04/22.27 | ALPHA: (35) implies:
% 155.04/22.27 | (36) op(e1, e1) = all_4_2
% 155.04/22.27 | (37) ~ (all_4_2 = e0) | ( ~ (all_4_0 = e3) & op(e0, e1) = all_4_0 &
% 155.04/22.27 | $i(all_4_0)) | ( ~ (all_4_1 = e2) & op(e0, e0) = all_4_1 &
% 155.04/22.27 | $i(all_4_1))
% 155.04/22.27 |
% 155.04/22.27 | DELTA: instantiating (27) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 155.04/22.27 | (38) op(e2, e2) = all_6_2 & $i(all_6_2) & ( ~ (all_6_2 = e1) | ( ~ (all_6_0
% 155.04/22.27 | = e0) & op(e1, e2) = all_6_0 & $i(all_6_0)) | ( ~ (all_6_1 = e3)
% 155.04/22.27 | & op(e1, e1) = all_6_1 & $i(all_6_1)))
% 155.04/22.27 |
% 155.04/22.27 | ALPHA: (38) implies:
% 155.04/22.27 | (39) op(e2, e2) = all_6_2
% 155.04/22.27 | (40) ~ (all_6_2 = e1) | ( ~ (all_6_0 = e0) & op(e1, e2) = all_6_0 &
% 155.04/22.27 | $i(all_6_0)) | ( ~ (all_6_1 = e3) & op(e1, e1) = all_6_1 &
% 155.04/22.27 | $i(all_6_1))
% 155.04/22.27 |
% 155.04/22.27 | DELTA: instantiating (21) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 155.04/22.27 | (41) op(e1, e1) = all_8_2 & $i(all_8_2) & ( ~ (all_8_2 = e2) | ( ~ (all_8_0
% 155.04/22.27 | = e0) & op(e2, e1) = all_8_0 & $i(all_8_0)) | ( ~ (all_8_1 = e3)
% 155.04/22.27 | & op(e2, e2) = all_8_1 & $i(all_8_1)))
% 155.04/22.27 |
% 155.04/22.27 | ALPHA: (41) implies:
% 155.04/22.27 | (42) op(e1, e1) = all_8_2
% 155.04/22.27 | (43) ~ (all_8_2 = e2) | ( ~ (all_8_0 = e0) & op(e2, e1) = all_8_0 &
% 155.04/22.27 | $i(all_8_0)) | ( ~ (all_8_1 = e3) & op(e2, e2) = all_8_1 &
% 155.04/22.27 | $i(all_8_1))
% 155.04/22.27 |
% 155.04/22.27 | DELTA: instantiating (11) with fresh symbols all_10_0, all_10_1, all_10_2
% 155.04/22.27 | gives:
% 155.04/22.27 | (44) op(e0, e0) = all_10_2 & $i(all_10_2) & ( ~ (all_10_2 = e3) | ( ~
% 155.04/22.27 | (all_10_0 = e2) & op(e3, e0) = all_10_0 & $i(all_10_0)) | ( ~
% 155.04/22.27 | (all_10_1 = e1) & op(e3, e3) = all_10_1 & $i(all_10_1)))
% 155.04/22.27 |
% 155.04/22.27 | ALPHA: (44) implies:
% 155.04/22.27 | (45) op(e0, e0) = all_10_2
% 155.04/22.27 | (46) ~ (all_10_2 = e3) | ( ~ (all_10_0 = e2) & op(e3, e0) = all_10_0 &
% 155.04/22.27 | $i(all_10_0)) | ( ~ (all_10_1 = e1) & op(e3, e3) = all_10_1 &
% 155.04/22.27 | $i(all_10_1))
% 155.04/22.27 |
% 155.04/22.27 | DELTA: instantiating (22) with fresh symbols all_12_0, all_12_1, all_12_2
% 155.04/22.27 | gives:
% 155.04/22.27 | (47) op(e1, e1) = all_12_2 & $i(all_12_2) & ( ~ (all_12_2 = e0) | ( ~
% 155.04/22.27 | (all_12_0 = e2) & op(e0, e1) = all_12_0 & $i(all_12_0)) | ( ~
% 155.04/22.27 | (all_12_1 = e3) & op(e0, e0) = all_12_1 & $i(all_12_1)))
% 155.04/22.27 |
% 155.04/22.27 | ALPHA: (47) implies:
% 155.04/22.27 | (48) op(e1, e1) = all_12_2
% 155.04/22.27 | (49) ~ (all_12_2 = e0) | ( ~ (all_12_0 = e2) & op(e0, e1) = all_12_0 &
% 155.04/22.27 | $i(all_12_0)) | ( ~ (all_12_1 = e3) & op(e0, e0) = all_12_1 &
% 155.04/22.27 | $i(all_12_1))
% 155.04/22.27 |
% 155.04/22.27 | DELTA: instantiating (29) with fresh symbols all_14_0, all_14_1, all_14_2
% 155.04/22.27 | gives:
% 155.04/22.27 | (50) op(e3, e3) = all_14_2 & $i(all_14_2) & ( ~ (all_14_2 = e2) | ( ~
% 155.04/22.27 | (all_14_0 = e1) & op(e2, e3) = all_14_0 & $i(all_14_0)) | ( ~
% 155.04/22.27 | (all_14_1 = e0) & op(e2, e2) = all_14_1 & $i(all_14_1)))
% 155.04/22.27 |
% 155.04/22.27 | ALPHA: (50) implies:
% 155.04/22.27 | (51) op(e3, e3) = all_14_2
% 155.04/22.27 | (52) ~ (all_14_2 = e2) | ( ~ (all_14_0 = e1) & op(e2, e3) = all_14_0 &
% 155.04/22.27 | $i(all_14_0)) | ( ~ (all_14_1 = e0) & op(e2, e2) = all_14_1 &
% 155.04/22.27 | $i(all_14_1))
% 155.04/22.27 |
% 155.04/22.27 | DELTA: instantiating (23) with fresh symbols all_16_0, all_16_1, all_16_2
% 155.04/22.27 | gives:
% 155.04/22.27 | (53) op(e2, e2) = all_16_2 & $i(all_16_2) & ( ~ (all_16_2 = e3) | ( ~
% 155.04/22.27 | (all_16_0 = e1) & op(e3, e2) = all_16_0 & $i(all_16_0)) | ( ~
% 155.04/22.27 | (all_16_1 = e0) & op(e3, e3) = all_16_1 & $i(all_16_1)))
% 155.04/22.27 |
% 155.04/22.27 | ALPHA: (53) implies:
% 155.04/22.27 | (54) op(e2, e2) = all_16_2
% 155.04/22.27 | (55) ~ (all_16_2 = e3) | ( ~ (all_16_0 = e1) & op(e3, e2) = all_16_0 &
% 155.04/22.27 | $i(all_16_0)) | ( ~ (all_16_1 = e0) & op(e3, e3) = all_16_1 &
% 155.04/22.27 | $i(all_16_1))
% 155.04/22.27 |
% 155.04/22.27 | DELTA: instantiating (24) with fresh symbols all_18_0, all_18_1, all_18_2
% 155.04/22.27 | gives:
% 155.04/22.27 | (56) op(e2, e2) = all_18_2 & $i(all_18_2) & ( ~ (all_18_2 = e1) | ( ~
% 155.04/22.27 | (all_18_0 = e3) & op(e1, e2) = all_18_0 & $i(all_18_0)) | ( ~
% 155.04/22.27 | (all_18_1 = e0) & op(e1, e1) = all_18_1 & $i(all_18_1)))
% 155.04/22.27 |
% 155.04/22.27 | ALPHA: (56) implies:
% 155.04/22.27 | (57) op(e2, e2) = all_18_2
% 155.04/22.27 | (58) ~ (all_18_2 = e1) | ( ~ (all_18_0 = e3) & op(e1, e2) = all_18_0 &
% 155.04/22.27 | $i(all_18_0)) | ( ~ (all_18_1 = e0) & op(e1, e1) = all_18_1 &
% 155.04/22.27 | $i(all_18_1))
% 155.04/22.27 |
% 155.04/22.27 | DELTA: instantiating (26) with fresh symbols all_20_0, all_20_1, all_20_2
% 155.04/22.27 | gives:
% 155.04/22.27 | (59) op(e2, e2) = all_20_2 & $i(all_20_2) & ( ~ (all_20_2 = e0) | ( ~
% 155.04/22.27 | (all_20_0 = e3) & op(e0, e2) = all_20_0 & $i(all_20_0)) | ( ~
% 155.04/22.27 | (all_20_1 = e1) & op(e0, e0) = all_20_1 & $i(all_20_1)))
% 155.04/22.27 |
% 155.04/22.27 | ALPHA: (59) implies:
% 155.04/22.27 | (60) op(e2, e2) = all_20_2
% 155.04/22.28 | (61) ~ (all_20_2 = e0) | ( ~ (all_20_0 = e3) & op(e0, e2) = all_20_0 &
% 155.04/22.28 | $i(all_20_0)) | ( ~ (all_20_1 = e1) & op(e0, e0) = all_20_1 &
% 155.04/22.28 | $i(all_20_1))
% 155.04/22.28 |
% 155.04/22.28 | DELTA: instantiating (31) with fresh symbols all_22_0, all_22_1, all_22_2
% 155.04/22.28 | gives:
% 155.04/22.28 | (62) op(e3, e3) = all_22_2 & $i(all_22_2) & ( ~ (all_22_2 = e2) | ( ~
% 155.04/22.28 | (all_22_0 = e0) & op(e2, e3) = all_22_0 & $i(all_22_0)) | ( ~
% 155.04/22.28 | (all_22_1 = e1) & op(e2, e2) = all_22_1 & $i(all_22_1)))
% 155.04/22.28 |
% 155.04/22.28 | ALPHA: (62) implies:
% 155.04/22.28 | (63) op(e3, e3) = all_22_2
% 155.04/22.28 | (64) ~ (all_22_2 = e2) | ( ~ (all_22_0 = e0) & op(e2, e3) = all_22_0 &
% 155.04/22.28 | $i(all_22_0)) | ( ~ (all_22_1 = e1) & op(e2, e2) = all_22_1 &
% 155.04/22.28 | $i(all_22_1))
% 155.04/22.28 |
% 155.04/22.28 | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2
% 155.04/22.28 | gives:
% 155.04/22.28 | (65) op(e0, e0) = all_24_2 & $i(all_24_2) & ( ~ (all_24_2 = e3) | ( ~
% 155.04/22.28 | (all_24_0 = e1) & op(e3, e0) = all_24_0 & $i(all_24_0)) | ( ~
% 155.04/22.28 | (all_24_1 = e2) & op(e3, e3) = all_24_1 & $i(all_24_1)))
% 155.04/22.28 |
% 155.04/22.28 | ALPHA: (65) implies:
% 155.04/22.28 | (66) op(e0, e0) = all_24_2
% 155.04/22.28 | (67) ~ (all_24_2 = e3) | ( ~ (all_24_0 = e1) & op(e3, e0) = all_24_0 &
% 155.04/22.28 | $i(all_24_0)) | ( ~ (all_24_1 = e2) & op(e3, e3) = all_24_1 &
% 155.04/22.28 | $i(all_24_1))
% 155.04/22.28 |
% 155.04/22.28 | DELTA: instantiating (28) with fresh symbols all_26_0, all_26_1, all_26_2
% 155.04/22.28 | gives:
% 155.04/22.28 | (68) op(e2, e2) = all_26_2 & $i(all_26_2) & ( ~ (all_26_2 = e0) | ( ~
% 155.04/22.28 | (all_26_0 = e1) & op(e0, e2) = all_26_0 & $i(all_26_0)) | ( ~
% 155.04/22.28 | (all_26_1 = e3) & op(e0, e0) = all_26_1 & $i(all_26_1)))
% 155.04/22.28 |
% 155.04/22.28 | ALPHA: (68) implies:
% 155.04/22.28 | (69) op(e2, e2) = all_26_2
% 155.04/22.28 | (70) ~ (all_26_2 = e0) | ( ~ (all_26_0 = e1) & op(e0, e2) = all_26_0 &
% 155.04/22.28 | $i(all_26_0)) | ( ~ (all_26_1 = e3) & op(e0, e0) = all_26_1 &
% 155.04/22.28 | $i(all_26_1))
% 155.04/22.28 |
% 155.04/22.28 | DELTA: instantiating (30) with fresh symbols all_28_0, all_28_1, all_28_2
% 155.04/22.28 | gives:
% 155.04/22.28 | (71) op(e3, e3) = all_28_2 & $i(all_28_2) & ( ~ (all_28_2 = e1) | ( ~
% 155.04/22.28 | (all_28_0 = e2) & op(e1, e3) = all_28_0 & $i(all_28_0)) | ( ~
% 155.04/22.28 | (all_28_1 = e0) & op(e1, e1) = all_28_1 & $i(all_28_1)))
% 155.04/22.28 |
% 155.04/22.28 | ALPHA: (71) implies:
% 155.04/22.28 | (72) op(e3, e3) = all_28_2
% 155.04/22.28 | (73) ~ (all_28_2 = e1) | ( ~ (all_28_0 = e2) & op(e1, e3) = all_28_0 &
% 155.04/22.28 | $i(all_28_0)) | ( ~ (all_28_1 = e0) & op(e1, e1) = all_28_1 &
% 155.04/22.28 | $i(all_28_1))
% 155.04/22.28 |
% 155.04/22.28 | DELTA: instantiating (12) with fresh symbols all_30_0, all_30_1, all_30_2
% 155.04/22.28 | gives:
% 155.04/22.28 | (74) op(e0, e0) = all_30_2 & $i(all_30_2) & ( ~ (all_30_2 = e2) | ( ~
% 155.04/22.28 | (all_30_0 = e3) & op(e2, e0) = all_30_0 & $i(all_30_0)) | ( ~
% 155.04/22.28 | (all_30_1 = e1) & op(e2, e2) = all_30_1 & $i(all_30_1)))
% 155.04/22.28 |
% 155.04/22.28 | ALPHA: (74) implies:
% 155.04/22.28 | (75) op(e0, e0) = all_30_2
% 155.04/22.28 | (76) ~ (all_30_2 = e2) | ( ~ (all_30_0 = e3) & op(e2, e0) = all_30_0 &
% 155.04/22.28 | $i(all_30_0)) | ( ~ (all_30_1 = e1) & op(e2, e2) = all_30_1 &
% 155.04/22.28 | $i(all_30_1))
% 155.04/22.28 |
% 155.04/22.28 | DELTA: instantiating (19) with fresh symbols all_32_0, all_32_1, all_32_2
% 155.04/22.28 | gives:
% 155.04/22.28 | (77) op(e1, e1) = all_32_2 & $i(all_32_2) & ( ~ (all_32_2 = e3) | ( ~
% 155.04/22.28 | (all_32_0 = e0) & op(e3, e1) = all_32_0 & $i(all_32_0)) | ( ~
% 155.04/22.28 | (all_32_1 = e2) & op(e3, e3) = all_32_1 & $i(all_32_1)))
% 155.04/22.28 |
% 155.04/22.28 | ALPHA: (77) implies:
% 155.04/22.28 | (78) op(e1, e1) = all_32_2
% 155.04/22.28 | (79) ~ (all_32_2 = e3) | ( ~ (all_32_0 = e0) & op(e3, e1) = all_32_0 &
% 155.04/22.28 | $i(all_32_0)) | ( ~ (all_32_1 = e2) & op(e3, e3) = all_32_1 &
% 155.04/22.28 | $i(all_32_1))
% 155.04/22.28 |
% 155.04/22.28 | DELTA: instantiating (32) with fresh symbols all_34_0, all_34_1, all_34_2
% 155.04/22.28 | gives:
% 155.04/22.28 | (80) op(e3, e3) = all_34_2 & $i(all_34_2) & ( ~ (all_34_2 = e0) | ( ~
% 155.04/22.28 | (all_34_0 = e2) & op(e0, e3) = all_34_0 & $i(all_34_0)) | ( ~
% 155.04/22.28 | (all_34_1 = e1) & op(e0, e0) = all_34_1 & $i(all_34_1)))
% 155.04/22.28 |
% 155.04/22.28 | ALPHA: (80) implies:
% 155.04/22.28 | (81) op(e3, e3) = all_34_2
% 155.04/22.28 | (82) ~ (all_34_2 = e0) | ( ~ (all_34_0 = e2) & op(e0, e3) = all_34_0 &
% 155.04/22.28 | $i(all_34_0)) | ( ~ (all_34_1 = e1) & op(e0, e0) = all_34_1 &
% 155.04/22.28 | $i(all_34_1))
% 155.04/22.28 |
% 155.04/22.28 | DELTA: instantiating (33) with fresh symbols all_36_0, all_36_1, all_36_2
% 155.04/22.28 | gives:
% 155.04/22.28 | (83) op(e3, e3) = all_36_2 & $i(all_36_2) & ( ~ (all_36_2 = e1) | ( ~
% 155.04/22.28 | (all_36_0 = e0) & op(e1, e3) = all_36_0 & $i(all_36_0)) | ( ~
% 155.04/22.28 | (all_36_1 = e2) & op(e1, e1) = all_36_1 & $i(all_36_1)))
% 155.04/22.28 |
% 155.04/22.28 | ALPHA: (83) implies:
% 155.04/22.28 | (84) op(e3, e3) = all_36_2
% 155.04/22.28 | (85) ~ (all_36_2 = e1) | ( ~ (all_36_0 = e0) & op(e1, e3) = all_36_0 &
% 155.04/22.28 | $i(all_36_0)) | ( ~ (all_36_1 = e2) & op(e1, e1) = all_36_1 &
% 155.04/22.28 | $i(all_36_1))
% 155.04/22.28 |
% 155.04/22.28 | DELTA: instantiating (25) with fresh symbols all_38_0, all_38_1, all_38_2
% 155.04/22.28 | gives:
% 155.04/22.28 | (86) op(e2, e2) = all_38_2 & $i(all_38_2) & ( ~ (all_38_2 = e3) | ( ~
% 155.04/22.28 | (all_38_0 = e0) & op(e3, e2) = all_38_0 & $i(all_38_0)) | ( ~
% 155.04/22.28 | (all_38_1 = e1) & op(e3, e3) = all_38_1 & $i(all_38_1)))
% 155.04/22.28 |
% 155.04/22.28 | ALPHA: (86) implies:
% 155.04/22.28 | (87) op(e2, e2) = all_38_2
% 155.04/22.28 | (88) ~ (all_38_2 = e3) | ( ~ (all_38_0 = e0) & op(e3, e2) = all_38_0 &
% 155.04/22.28 | $i(all_38_0)) | ( ~ (all_38_1 = e1) & op(e3, e3) = all_38_1 &
% 155.04/22.28 | $i(all_38_1))
% 155.04/22.28 |
% 155.04/22.28 | DELTA: instantiating (14) with fresh symbols all_40_0, all_40_1, all_40_2
% 155.04/22.28 | gives:
% 155.04/22.28 | (89) op(e0, e0) = all_40_2 & $i(all_40_2) & ( ~ (all_40_2 = e1) | ( ~
% 155.04/22.28 | (all_40_0 = e3) & op(e1, e0) = all_40_0 & $i(all_40_0)) | ( ~
% 155.04/22.28 | (all_40_1 = e2) & op(e1, e1) = all_40_1 & $i(all_40_1)))
% 155.04/22.28 |
% 155.04/22.28 | ALPHA: (89) implies:
% 155.04/22.28 | (90) op(e0, e0) = all_40_2
% 155.04/22.28 | (91) ~ (all_40_2 = e1) | ( ~ (all_40_0 = e3) & op(e1, e0) = all_40_0 &
% 155.04/22.28 | $i(all_40_0)) | ( ~ (all_40_1 = e2) & op(e1, e1) = all_40_1 &
% 155.04/22.28 | $i(all_40_1))
% 155.04/22.28 |
% 155.04/22.28 | DELTA: instantiating (15) with fresh symbols all_42_0, all_42_1, all_42_2
% 155.04/22.28 | gives:
% 155.04/22.29 | (92) op(e0, e0) = all_42_2 & $i(all_42_2) & ( ~ (all_42_2 = e2) | ( ~
% 155.04/22.29 | (all_42_0 = e1) & op(e2, e0) = all_42_0 & $i(all_42_0)) | ( ~
% 155.04/22.29 | (all_42_1 = e3) & op(e2, e2) = all_42_1 & $i(all_42_1)))
% 155.04/22.29 |
% 155.04/22.29 | ALPHA: (92) implies:
% 155.04/22.29 | (93) op(e0, e0) = all_42_2
% 155.04/22.29 | (94) ~ (all_42_2 = e2) | ( ~ (all_42_0 = e1) & op(e2, e0) = all_42_0 &
% 155.04/22.29 | $i(all_42_0)) | ( ~ (all_42_1 = e3) & op(e2, e2) = all_42_1 &
% 155.04/22.29 | $i(all_42_1))
% 155.04/22.29 |
% 155.04/22.29 | DELTA: instantiating (34) with fresh symbols all_44_0, all_44_1, all_44_2
% 155.04/22.29 | gives:
% 155.04/22.29 | (95) op(e3, e3) = all_44_2 & $i(all_44_2) & ( ~ (all_44_2 = e0) | ( ~
% 155.04/22.29 | (all_44_0 = e1) & op(e0, e3) = all_44_0 & $i(all_44_0)) | ( ~
% 155.04/22.29 | (all_44_1 = e2) & op(e0, e0) = all_44_1 & $i(all_44_1)))
% 155.04/22.29 |
% 155.04/22.29 | ALPHA: (95) implies:
% 155.04/22.29 | (96) op(e3, e3) = all_44_2
% 155.04/22.29 | (97) ~ (all_44_2 = e0) | ( ~ (all_44_0 = e1) & op(e0, e3) = all_44_0 &
% 155.04/22.29 | $i(all_44_0)) | ( ~ (all_44_1 = e2) & op(e0, e0) = all_44_1 &
% 155.04/22.29 | $i(all_44_1))
% 155.04/22.29 |
% 155.04/22.29 | DELTA: instantiating (16) with fresh symbols all_46_0, all_46_1, all_46_2
% 155.04/22.29 | gives:
% 155.04/22.29 | (98) op(e0, e0) = all_46_2 & $i(all_46_2) & ( ~ (all_46_2 = e1) | ( ~
% 155.04/22.29 | (all_46_0 = e2) & op(e1, e0) = all_46_0 & $i(all_46_0)) | ( ~
% 155.04/22.29 | (all_46_1 = e3) & op(e1, e1) = all_46_1 & $i(all_46_1)))
% 155.04/22.29 |
% 155.04/22.29 | ALPHA: (98) implies:
% 155.04/22.29 | (99) op(e0, e0) = all_46_2
% 155.04/22.29 | (100) ~ (all_46_2 = e1) | ( ~ (all_46_0 = e2) & op(e1, e0) = all_46_0 &
% 155.04/22.29 | $i(all_46_0)) | ( ~ (all_46_1 = e3) & op(e1, e1) = all_46_1 &
% 155.04/22.29 | $i(all_46_1))
% 155.04/22.29 |
% 155.04/22.29 | DELTA: instantiating (18) with fresh symbols all_48_0, all_48_1, all_48_2
% 155.04/22.29 | gives:
% 155.04/22.29 | (101) op(e1, e1) = all_48_2 & $i(all_48_2) & ( ~ (all_48_2 = e2) | ( ~
% 155.04/22.29 | (all_48_0 = e3) & op(e2, e1) = all_48_0 & $i(all_48_0)) | ( ~
% 155.04/22.29 | (all_48_1 = e0) & op(e2, e2) = all_48_1 & $i(all_48_1)))
% 155.04/22.29 |
% 155.04/22.29 | ALPHA: (101) implies:
% 155.04/22.29 | (102) op(e1, e1) = all_48_2
% 155.04/22.29 | (103) ~ (all_48_2 = e2) | ( ~ (all_48_0 = e3) & op(e2, e1) = all_48_0 &
% 155.04/22.29 | $i(all_48_0)) | ( ~ (all_48_1 = e0) & op(e2, e2) = all_48_1 &
% 155.04/22.29 | $i(all_48_1))
% 155.04/22.29 |
% 155.04/22.29 | DELTA: instantiating (17) with fresh symbols all_50_0, all_50_1, all_50_2
% 155.04/22.29 | gives:
% 155.04/22.29 | (104) op(e1, e1) = all_50_2 & $i(all_50_2) & ( ~ (all_50_2 = e3) | ( ~
% 155.04/22.29 | (all_50_0 = e2) & op(e3, e1) = all_50_0 & $i(all_50_0)) | ( ~
% 155.04/22.29 | (all_50_1 = e0) & op(e3, e3) = all_50_1 & $i(all_50_1)))
% 155.04/22.29 |
% 155.04/22.29 | ALPHA: (104) implies:
% 155.04/22.29 | (105) op(e1, e1) = all_50_2
% 155.04/22.29 | (106) ~ (all_50_2 = e3) | ( ~ (all_50_0 = e2) & op(e3, e1) = all_50_0 &
% 155.04/22.29 | $i(all_50_0)) | ( ~ (all_50_1 = e0) & op(e3, e3) = all_50_1 &
% 155.04/22.29 | $i(all_50_1))
% 155.04/22.29 |
% 155.04/22.29 | DELTA: instantiating (3) with fresh symbols all_52_0, all_52_1, all_52_2,
% 155.04/22.29 | all_52_3, all_52_4, all_52_5, all_52_6, all_52_7, all_52_8, all_52_9,
% 155.04/22.29 | all_52_10, all_52_11, all_52_12, all_52_13, all_52_14, all_52_15 gives:
% 155.04/22.29 | (107) ~ (all_52_0 = all_52_1) & ~ (all_52_0 = all_52_2) & ~ (all_52_0 =
% 155.04/22.29 | all_52_3) & ~ (all_52_0 = all_52_4) & ~ (all_52_0 = all_52_8) &
% 155.04/22.29 | ~ (all_52_0 = all_52_12) & ~ (all_52_1 = all_52_2) & ~ (all_52_1 =
% 155.04/22.29 | all_52_3) & ~ (all_52_1 = all_52_5) & ~ (all_52_1 = all_52_9) &
% 155.04/22.29 | ~ (all_52_1 = all_52_13) & ~ (all_52_2 = all_52_3) & ~ (all_52_2 =
% 155.04/22.29 | all_52_6) & ~ (all_52_2 = all_52_10) & ~ (all_52_2 = all_52_14) &
% 155.04/22.29 | ~ (all_52_3 = all_52_7) & ~ (all_52_3 = all_52_11) & ~ (all_52_3 =
% 155.04/22.29 | all_52_15) & ~ (all_52_4 = all_52_5) & ~ (all_52_4 = all_52_6) &
% 155.04/22.29 | ~ (all_52_4 = all_52_7) & ~ (all_52_4 = all_52_8) & ~ (all_52_4 =
% 155.04/22.29 | all_52_12) & ~ (all_52_5 = all_52_6) & ~ (all_52_5 = all_52_7) &
% 155.04/22.29 | ~ (all_52_5 = all_52_9) & ~ (all_52_5 = all_52_13) & ~ (all_52_6 =
% 155.04/22.29 | all_52_7) & ~ (all_52_6 = all_52_10) & ~ (all_52_6 = all_52_14) &
% 155.04/22.29 | ~ (all_52_7 = all_52_11) & ~ (all_52_7 = all_52_15) & ~ (all_52_8
% 155.04/22.29 | = all_52_9) & ~ (all_52_8 = all_52_10) & ~ (all_52_8 = all_52_11)
% 155.04/22.29 | & ~ (all_52_8 = all_52_12) & ~ (all_52_9 = all_52_10) & ~
% 155.04/22.29 | (all_52_9 = all_52_11) & ~ (all_52_9 = all_52_13) & ~ (all_52_10 =
% 155.04/22.29 | all_52_11) & ~ (all_52_10 = all_52_14) & ~ (all_52_11 =
% 155.04/22.29 | all_52_15) & ~ (all_52_12 = all_52_13) & ~ (all_52_12 =
% 155.04/22.29 | all_52_14) & ~ (all_52_12 = all_52_15) & ~ (all_52_13 =
% 155.04/22.29 | all_52_14) & ~ (all_52_13 = all_52_15) & ~ (all_52_14 =
% 155.04/22.29 | all_52_15) & op(e3, e3) = all_52_0 & op(e3, e2) = all_52_4 & op(e3,
% 155.04/22.29 | e1) = all_52_8 & op(e3, e0) = all_52_12 & op(e2, e3) = all_52_1 &
% 155.04/22.29 | op(e2, e2) = all_52_5 & op(e2, e1) = all_52_9 & op(e2, e0) =
% 155.04/22.29 | all_52_13 & op(e1, e3) = all_52_2 & op(e1, e2) = all_52_6 & op(e1,
% 155.04/22.29 | e1) = all_52_10 & op(e1, e0) = all_52_14 & op(e0, e3) = all_52_3 &
% 155.04/22.29 | op(e0, e2) = all_52_7 & op(e0, e1) = all_52_11 & op(e0, e0) =
% 155.04/22.29 | all_52_15 & $i(all_52_0) & $i(all_52_1) & $i(all_52_2) & $i(all_52_3)
% 155.04/22.29 | & $i(all_52_4) & $i(all_52_5) & $i(all_52_6) & $i(all_52_7) &
% 155.04/22.29 | $i(all_52_8) & $i(all_52_9) & $i(all_52_10) & $i(all_52_11) &
% 155.04/22.29 | $i(all_52_12) & $i(all_52_13) & $i(all_52_14) & $i(all_52_15)
% 155.04/22.29 |
% 155.04/22.29 | ALPHA: (107) implies:
% 155.04/22.29 | (108) ~ (all_52_14 = all_52_15)
% 155.04/22.29 | (109) ~ (all_52_13 = all_52_15)
% 155.04/22.29 | (110) ~ (all_52_13 = all_52_14)
% 155.04/22.29 | (111) ~ (all_52_12 = all_52_15)
% 155.04/22.29 | (112) ~ (all_52_12 = all_52_14)
% 155.04/22.29 | (113) ~ (all_52_12 = all_52_13)
% 155.04/22.29 | (114) ~ (all_52_11 = all_52_15)
% 155.04/22.29 | (115) ~ (all_52_10 = all_52_14)
% 155.04/22.29 | (116) ~ (all_52_10 = all_52_11)
% 155.04/22.29 | (117) ~ (all_52_9 = all_52_13)
% 155.04/22.29 | (118) ~ (all_52_9 = all_52_11)
% 155.04/22.29 | (119) ~ (all_52_9 = all_52_10)
% 155.04/22.29 | (120) ~ (all_52_8 = all_52_12)
% 155.04/22.29 | (121) ~ (all_52_8 = all_52_11)
% 155.04/22.29 | (122) ~ (all_52_8 = all_52_10)
% 155.04/22.29 | (123) ~ (all_52_8 = all_52_9)
% 155.04/22.29 | (124) ~ (all_52_7 = all_52_15)
% 155.04/22.29 | (125) ~ (all_52_7 = all_52_11)
% 155.04/22.29 | (126) ~ (all_52_6 = all_52_14)
% 155.04/22.29 | (127) ~ (all_52_6 = all_52_10)
% 155.04/22.29 | (128) ~ (all_52_6 = all_52_7)
% 155.04/22.29 | (129) ~ (all_52_5 = all_52_13)
% 155.04/22.29 | (130) ~ (all_52_5 = all_52_9)
% 155.04/22.29 | (131) ~ (all_52_5 = all_52_7)
% 155.04/22.29 | (132) ~ (all_52_5 = all_52_6)
% 155.04/22.29 | (133) ~ (all_52_4 = all_52_12)
% 155.04/22.29 | (134) ~ (all_52_4 = all_52_8)
% 155.04/22.29 | (135) ~ (all_52_4 = all_52_7)
% 155.04/22.29 | (136) ~ (all_52_4 = all_52_6)
% 155.04/22.29 | (137) ~ (all_52_4 = all_52_5)
% 155.04/22.29 | (138) ~ (all_52_3 = all_52_15)
% 155.04/22.29 | (139) ~ (all_52_3 = all_52_11)
% 155.04/22.29 | (140) ~ (all_52_3 = all_52_7)
% 155.04/22.30 | (141) ~ (all_52_2 = all_52_14)
% 155.04/22.30 | (142) ~ (all_52_2 = all_52_10)
% 155.04/22.30 | (143) ~ (all_52_2 = all_52_6)
% 155.04/22.30 | (144) ~ (all_52_2 = all_52_3)
% 155.04/22.30 | (145) ~ (all_52_1 = all_52_13)
% 155.04/22.30 | (146) ~ (all_52_1 = all_52_9)
% 155.04/22.30 | (147) ~ (all_52_1 = all_52_5)
% 155.04/22.30 | (148) ~ (all_52_1 = all_52_3)
% 155.04/22.30 | (149) ~ (all_52_1 = all_52_2)
% 155.04/22.30 | (150) ~ (all_52_0 = all_52_12)
% 155.04/22.30 | (151) ~ (all_52_0 = all_52_8)
% 155.04/22.30 | (152) ~ (all_52_0 = all_52_4)
% 155.04/22.30 | (153) ~ (all_52_0 = all_52_3)
% 155.04/22.30 | (154) ~ (all_52_0 = all_52_2)
% 155.04/22.30 | (155) ~ (all_52_0 = all_52_1)
% 155.04/22.30 | (156) op(e0, e0) = all_52_15
% 155.04/22.30 | (157) op(e0, e1) = all_52_11
% 155.04/22.30 | (158) op(e0, e2) = all_52_7
% 155.04/22.30 | (159) op(e0, e3) = all_52_3
% 155.04/22.30 | (160) op(e1, e0) = all_52_14
% 155.04/22.30 | (161) op(e1, e1) = all_52_10
% 155.04/22.30 | (162) op(e1, e2) = all_52_6
% 155.04/22.30 | (163) op(e1, e3) = all_52_2
% 155.04/22.30 | (164) op(e2, e0) = all_52_13
% 155.04/22.30 | (165) op(e2, e1) = all_52_9
% 155.04/22.30 | (166) op(e2, e2) = all_52_5
% 155.04/22.30 | (167) op(e2, e3) = all_52_1
% 155.04/22.30 | (168) op(e3, e0) = all_52_12
% 155.04/22.30 | (169) op(e3, e1) = all_52_8
% 155.04/22.30 | (170) op(e3, e2) = all_52_4
% 155.04/22.30 | (171) op(e3, e3) = all_52_0
% 155.04/22.30 |
% 155.04/22.30 | DELTA: instantiating (1) with fresh symbols all_54_0, all_54_1, all_54_2,
% 155.04/22.30 | all_54_3, all_54_4, all_54_5, all_54_6, all_54_7, all_54_8, all_54_9,
% 155.04/22.30 | all_54_10, all_54_11, all_54_12, all_54_13, all_54_14, all_54_15 gives:
% 155.04/22.30 | (172) op(e3, e3) = all_54_0 & op(e3, e2) = all_54_1 & op(e3, e1) = all_54_2
% 155.04/22.30 | & op(e3, e0) = all_54_3 & op(e2, e3) = all_54_4 & op(e2, e2) =
% 155.04/22.30 | all_54_5 & op(e2, e1) = all_54_6 & op(e2, e0) = all_54_7 & op(e1, e3)
% 155.04/22.30 | = all_54_8 & op(e1, e2) = all_54_9 & op(e1, e1) = all_54_10 & op(e1,
% 155.04/22.30 | e0) = all_54_11 & op(e0, e3) = all_54_12 & op(e0, e2) = all_54_13 &
% 155.04/22.30 | op(e0, e1) = all_54_14 & op(e0, e0) = all_54_15 & $i(all_54_0) &
% 155.04/22.30 | $i(all_54_1) & $i(all_54_2) & $i(all_54_3) & $i(all_54_4) &
% 155.04/22.30 | $i(all_54_5) & $i(all_54_6) & $i(all_54_7) & $i(all_54_8) &
% 155.04/22.30 | $i(all_54_9) & $i(all_54_10) & $i(all_54_11) & $i(all_54_12) &
% 155.04/22.30 | $i(all_54_13) & $i(all_54_14) & $i(all_54_15) & (all_54_0 = e3 |
% 155.04/22.30 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0) & (all_54_1 = e3 |
% 155.04/22.30 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0) & (all_54_2 = e3 |
% 155.04/22.30 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0) & (all_54_3 = e3 |
% 155.04/22.30 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0) & (all_54_4 = e3 |
% 155.04/22.30 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0) & (all_54_5 = e3 |
% 155.04/22.30 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0) & (all_54_6 = e3 |
% 155.04/22.30 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0) & (all_54_7 = e3 |
% 155.04/22.30 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0) & (all_54_8 = e3 |
% 155.04/22.30 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0) & (all_54_9 = e3 |
% 155.04/22.30 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0) & (all_54_10 = e3 |
% 155.04/22.30 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0) & (all_54_11 = e3
% 155.04/22.30 | | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0) & (all_54_12 =
% 155.04/22.30 | e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0) & (all_54_13
% 155.04/22.30 | = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0) &
% 155.04/22.30 | (all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0) &
% 155.04/22.30 | (all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0)
% 155.04/22.30 |
% 155.04/22.30 | ALPHA: (172) implies:
% 155.04/22.30 | (173) op(e0, e0) = all_54_15
% 155.04/22.30 | (174) op(e0, e1) = all_54_14
% 155.04/22.30 | (175) op(e0, e2) = all_54_13
% 155.04/22.30 | (176) op(e0, e3) = all_54_12
% 155.04/22.30 | (177) op(e1, e0) = all_54_11
% 155.04/22.30 | (178) op(e1, e1) = all_54_10
% 155.04/22.30 | (179) op(e1, e2) = all_54_9
% 155.04/22.30 | (180) op(e1, e3) = all_54_8
% 155.04/22.30 | (181) op(e2, e0) = all_54_7
% 155.04/22.30 | (182) op(e2, e1) = all_54_6
% 155.04/22.30 | (183) op(e2, e2) = all_54_5
% 155.04/22.30 | (184) op(e2, e3) = all_54_4
% 155.04/22.30 | (185) op(e3, e0) = all_54_3
% 155.04/22.30 | (186) op(e3, e1) = all_54_2
% 155.04/22.30 | (187) op(e3, e2) = all_54_1
% 155.04/22.30 | (188) op(e3, e3) = all_54_0
% 155.04/22.30 | (189) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 155.04/22.30 | (190) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 155.04/22.30 | (191) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 155.04/22.30 | (192) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 155.04/22.30 | (193) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 155.04/22.30 | (194) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 155.04/22.30 | (195) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 155.04/22.30 | (196) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 155.04/22.30 | (197) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 155.04/22.30 | (198) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 155.04/22.30 | (199) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 155.04/22.30 | (200) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 155.04/22.30 | (201) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 155.04/22.30 | (202) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 155.04/22.30 | (203) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 155.04/22.30 | (204) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 155.04/22.31 |
% 155.04/22.31 | DELTA: instantiating (2) with fresh symbols all_56_0, all_56_1, all_56_2,
% 155.04/22.31 | all_56_3, all_56_4, all_56_5, all_56_6, all_56_7, all_56_8, all_56_9,
% 155.04/22.31 | all_56_10, all_56_11, all_56_12, all_56_13, all_56_14, all_56_15 gives:
% 155.04/22.31 | (205) ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) =
% 155.04/22.31 | e3) | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3,
% 155.04/22.31 | e0) = e3)) & ((all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 =
% 155.04/22.31 | e3 & op(e2, e3) = e3) | (all_56_6 = e3 & op(e1, e3) = e3) |
% 155.04/22.31 | (all_56_12 = e3 & op(e0, e3) = e3)) & ((all_56_0 = e2 & op(e3, e3)
% 155.04/22.31 | = e2) | (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_4 = e2 &
% 155.04/22.31 | op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) = e2)) &
% 155.04/22.31 | ((all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) =
% 155.04/22.31 | e2) | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 155.04/22.31 | op(e0, e3) = e2)) & ((all_56_0 = e1 & op(e3, e3) = e1) |
% 155.04/22.31 | (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_4 = e1 & op(e3, e1) =
% 155.04/22.31 | e1) | (all_56_9 = e1 & op(e3, e0) = e1)) & ((all_56_0 = e1 &
% 155.04/22.31 | op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_6
% 155.04/22.31 | = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) = e1)) &
% 155.04/22.31 | ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) =
% 155.04/22.31 | e0) | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3,
% 155.04/22.31 | e0) = e0)) & ((all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 =
% 155.04/22.31 | e0 & op(e2, e3) = e0) | (all_56_6 = e0 & op(e1, e3) = e0) |
% 155.04/22.31 | (all_56_12 = e0 & op(e0, e3) = e0)) & ((all_56_1 = e3 & op(e3, e2)
% 155.04/22.31 | = e3) | (all_56_3 = e3 & op(e2, e2) = e3) | (all_56_7 = e3 &
% 155.04/22.31 | op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) = e3)) &
% 155.04/22.31 | ((all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) =
% 155.04/22.31 | e2) | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 &
% 155.04/22.31 | op(e0, e2) = e2)) & ((all_56_1 = e1 & op(e3, e2) = e1) |
% 155.04/22.31 | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_7 = e1 & op(e1, e2) =
% 155.04/22.31 | e1) | (all_56_13 = e1 & op(e0, e2) = e1)) & ((all_56_1 = e0 &
% 155.04/22.31 | op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0) | (all_56_7
% 155.04/22.31 | = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) = e0)) &
% 155.04/22.31 | ((all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) =
% 155.04/22.31 | e3) | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 &
% 155.04/22.31 | op(e2, e0) = e3)) & ((all_56_2 = e2 & op(e2, e3) = e2) |
% 155.04/22.31 | (all_56_3 = e2 & op(e2, e2) = e2) | (all_56_5 = e2 & op(e2, e1) =
% 155.04/22.31 | e2) | (all_56_10 = e2 & op(e2, e0) = e2)) & ((all_56_2 = e1 &
% 155.04/22.31 | op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1) | (all_56_5
% 155.04/22.31 | = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) = e1)) &
% 155.04/22.31 | ((all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) =
% 155.04/22.31 | e0) | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 &
% 155.04/22.31 | op(e2, e0) = e0)) & ((all_56_4 = e3 & op(e3, e1) = e3) |
% 155.04/22.31 | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_8 = e3 & op(e1, e1) =
% 155.04/22.31 | e3) | (all_56_14 = e3 & op(e0, e1) = e3)) & ((all_56_4 = e2 &
% 155.04/22.31 | op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_8
% 155.04/22.31 | = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) = e2)) &
% 155.04/22.31 | ((all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) =
% 155.04/22.31 | e1) | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 &
% 155.04/22.31 | op(e0, e1) = e1)) & ((all_56_4 = e0 & op(e3, e1) = e0) |
% 155.04/22.31 | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_8 = e0 & op(e1, e1) =
% 155.04/22.31 | e0) | (all_56_14 = e0 & op(e0, e1) = e0)) & ((all_56_6 = e3 &
% 155.04/22.31 | op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_8
% 155.04/22.31 | = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) = e3)) &
% 155.04/22.31 | ((all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) =
% 155.04/22.31 | e2) | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 &
% 155.04/22.31 | op(e1, e0) = e2)) & ((all_56_6 = e1 & op(e1, e3) = e1) |
% 155.04/22.31 | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_8 = e1 & op(e1, e1) =
% 155.04/22.31 | e1) | (all_56_11 = e1 & op(e1, e0) = e1)) & ((all_56_6 = e0 &
% 155.04/22.31 | op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_8
% 155.04/22.31 | = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) &
% 155.04/22.31 | ((all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 155.04/22.31 | e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 &
% 155.04/22.31 | op(e0, e0) = e3)) & ((all_56_9 = e2 & op(e3, e0) = e2) |
% 155.04/22.31 | (all_56_10 = e2 & op(e2, e0) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 155.04/22.31 | e2) | (all_56_15 = e2 & op(e0, e0) = e2)) & ((all_56_9 = e1 &
% 155.04/22.31 | op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) = e1) |
% 155.04/22.31 | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0, e0) =
% 155.04/22.31 | e1)) & ((all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 &
% 155.04/22.31 | op(e0, e2) = e3) | (all_56_14 = e3 & op(e0, e1) = e3) |
% 155.04/22.31 | (all_56_15 = e3 & op(e0, e0) = e3)) & ((all_56_12 = e2 & op(e0, e3)
% 155.04/22.31 | = e2) | (all_56_13 = e2 & op(e0, e2) = e2) | (all_56_14 = e2 &
% 155.04/22.31 | op(e0, e1) = e2) | (all_56_15 = e2 & op(e0, e0) = e2)) &
% 155.04/22.31 | ((all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 155.04/22.31 | e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 &
% 155.04/22.31 | op(e0, e0) = e1)) & ((all_56_15 = e0 & op(e0, e0) = e0) |
% 155.04/22.31 | (((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 = e0 & op(e2, e0)
% 155.04/22.31 | = e0) | (all_56_11 = e0 & op(e1, e0) = e0)) & ((all_56_12 =
% 155.04/22.31 | e0 & op(e0, e3) = e0) | (all_56_13 = e0 & op(e0, e2) = e0) |
% 155.04/22.31 | (all_56_14 = e0 & op(e0, e1) = e0))))
% 155.04/22.31 |
% 155.04/22.31 | ALPHA: (205) implies:
% 155.04/22.31 | (206) (all_56_15 = e0 & op(e0, e0) = e0) | (((all_56_9 = e0 & op(e3, e0) =
% 155.04/22.31 | e0) | (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 155.04/22.31 | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0, e3) = e0) |
% 155.04/22.31 | (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0, e1)
% 155.04/22.31 | = e0)))
% 155.04/22.31 | (207) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 155.04/22.31 | e1) | (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 = e1 & op(e0,
% 155.04/22.31 | e0) = e1)
% 155.04/22.31 | (208) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 155.04/22.31 | e2) | (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 = e2 & op(e0,
% 155.04/22.31 | e0) = e2)
% 155.04/22.32 | (209) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 155.04/22.32 | e3) | (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 = e3 & op(e0,
% 155.04/22.32 | e0) = e3)
% 155.04/22.32 | (210) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 155.04/22.32 | e1) | (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 = e1 & op(e0,
% 155.04/22.32 | e0) = e1)
% 155.04/22.32 | (211) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 155.04/22.32 | e2) | (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 = e2 & op(e0,
% 155.04/22.32 | e0) = e2)
% 155.04/22.32 | (212) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 155.04/22.32 | e3) | (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 = e3 & op(e0,
% 155.04/22.32 | e0) = e3)
% 155.04/22.32 | (213) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0 & op(e1, e2) = e0)
% 155.04/22.32 | | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 = e0 & op(e1, e0) =
% 155.04/22.32 | e0)
% 155.04/22.32 | (214) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1 & op(e1, e2) = e1)
% 155.04/22.32 | | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 = e1 & op(e1, e0) =
% 155.04/22.32 | e1)
% 155.04/22.32 | (215) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1, e2) = e2)
% 155.04/22.32 | | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1, e0) =
% 155.04/22.32 | e2)
% 155.04/22.32 | (216) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3 & op(e1, e2) = e3)
% 155.04/22.32 | | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 = e3 & op(e1, e0) =
% 155.04/22.32 | e3)
% 155.04/22.32 | (217) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0 & op(e2, e1) = e0)
% 155.04/22.32 | | (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 = e0 & op(e0, e1) =
% 155.04/22.32 | e0)
% 155.04/22.32 | (218) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1 & op(e2, e1) = e1)
% 155.04/22.32 | | (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 = e1 & op(e0, e1) =
% 155.04/22.32 | e1)
% 155.04/22.32 | (219) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2 & op(e2, e1) = e2)
% 155.04/22.32 | | (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 = e2 & op(e0, e1) =
% 155.04/22.32 | e2)
% 155.04/22.32 | (220) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3 & op(e2, e1) = e3)
% 155.04/22.32 | | (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 = e3 & op(e0, e1) =
% 155.04/22.32 | e3)
% 155.04/22.32 | (221) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 155.04/22.32 | | (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 = e0 & op(e2, e0) =
% 155.04/22.32 | e0)
% 155.04/22.32 | (222) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 155.04/22.32 | | (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 = e1 & op(e2, e0) =
% 155.04/22.32 | e1)
% 155.04/22.32 | (223) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 155.04/22.32 | | (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 = e2 & op(e2, e0) =
% 155.04/22.32 | e2)
% 155.04/22.32 | (224) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 155.04/22.32 | | (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 = e3 & op(e2, e0) =
% 155.04/22.32 | e3)
% 155.04/22.32 | (225) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0 & op(e2, e2) = e0)
% 155.04/22.32 | | (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 155.04/22.32 | e0)
% 155.04/22.32 | (226) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1 & op(e2, e2) = e1)
% 155.04/22.32 | | (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 = e1 & op(e0, e2) =
% 155.04/22.32 | e1)
% 155.04/22.32 | (227) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2 & op(e2, e2) = e2)
% 155.04/22.32 | | (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 = e2 & op(e0, e2) =
% 155.04/22.32 | e2)
% 155.04/22.32 | (228) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3 & op(e2, e2) = e3)
% 155.04/22.32 | | (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 = e3 & op(e0, e2) =
% 155.04/22.32 | e3)
% 155.04/22.32 | (229) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0 & op(e2, e3) = e0)
% 155.04/22.32 | | (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 = e0 & op(e0, e3) =
% 155.04/22.32 | e0)
% 155.04/22.32 | (230) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0 & op(e3, e2) = e0)
% 155.04/22.32 | | (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0 & op(e3, e0) =
% 155.04/22.32 | e0)
% 155.04/22.32 | (231) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1 & op(e2, e3) = e1)
% 155.04/22.32 | | (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 = e1 & op(e0, e3) =
% 155.04/22.32 | e1)
% 155.04/22.32 | (232) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1 & op(e3, e2) = e1)
% 155.04/22.32 | | (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1 & op(e3, e0) =
% 155.04/22.32 | e1)
% 155.04/22.32 | (233) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 & op(e2, e3) = e2)
% 155.04/22.32 | | (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 & op(e0, e3) =
% 155.04/22.32 | e2)
% 155.04/22.32 | (234) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 & op(e3, e2) = e2)
% 155.04/22.32 | | (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 & op(e3, e0) =
% 155.04/22.32 | e2)
% 155.04/22.32 | (235) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 & op(e2, e3) = e3)
% 155.04/22.32 | | (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3 & op(e0, e3) =
% 155.04/22.32 | e3)
% 155.04/22.32 | (236) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3 & op(e3, e2) = e3)
% 155.04/22.32 | | (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3 & op(e3, e0) =
% 155.04/22.32 | e3)
% 155.04/22.32 |
% 155.04/22.32 | DELTA: instantiating (10) with fresh symbols all_57_0, all_57_1, all_57_2,
% 155.04/22.32 | all_57_3, all_57_4, all_57_5, all_57_6, all_57_7, all_57_8, all_57_9,
% 155.04/22.32 | all_57_10, all_57_11, all_57_12, all_57_13, all_57_14, all_57_15,
% 155.04/22.32 | all_57_16, all_57_17, all_57_18, all_57_19, all_57_20, all_57_21,
% 155.04/22.32 | all_57_22, all_57_23, all_57_24, all_57_25, all_57_26, all_57_27,
% 155.04/22.32 | all_57_28, all_57_29, all_57_30, all_57_31 gives:
% 155.04/22.33 | (237) ((all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 & all_57_3 = e0 &
% 155.04/22.33 | op(e3, all_57_19) = e2 & op(e3, all_57_22) = e1 & op(e3,
% 155.04/22.33 | all_57_25) = e0 & op(e3, all_57_26) = e3 & op(e3, e3) =
% 155.04/22.33 | all_57_26 & op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 155.04/22.33 | op(e3, e0) = all_57_25 & $i(all_57_19) & $i(all_57_22) &
% 155.04/22.33 | $i(all_57_25) & $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 155.04/22.33 | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 155.04/22.33 | $i(all_57_28))) & ((all_57_17 = e1 & op(e1, e3) = e1) | ( ~
% 155.04/22.33 | (all_57_30 = e3) & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 155.04/22.33 | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~ (all_57_31 = e3) &
% 155.04/22.33 | op(e0, e0) = all_57_31 & $i(all_57_31)))) | (all_57_4 = e3 &
% 155.04/22.33 | all_57_5 = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2, all_57_16)
% 155.04/22.33 | = e3 & op(e2, all_57_23) = e1 & op(e2, all_57_27) = e0 & op(e2,
% 155.04/22.33 | all_57_28) = e2 & op(e2, e3) = all_57_16 & op(e2, e2) =
% 155.04/22.33 | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0) = all_57_27 &
% 155.04/22.33 | $i(all_57_16) & $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 155.04/22.33 | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 155.04/22.33 | op(e3, e3) = all_57_26 & $i(all_57_26))) & ((all_57_20 = e1 &
% 155.04/22.33 | op(e1, e2) = e1) | ( ~ (all_57_30 = e2) & op(e1, e1) =
% 155.04/22.33 | all_57_30 & $i(all_57_30))) & ((all_57_21 = e0 & op(e0, e2) =
% 155.04/22.33 | e0) | ( ~ (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 155.04/22.33 | $i(all_57_31)))) | (all_57_8 = e3 & all_57_9 = e2 & all_57_10
% 155.04/22.33 | = e1 & all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 155.04/22.33 | all_57_20) = e2 & op(e1, all_57_29) = e0 & op(e1, all_57_30) =
% 155.04/22.33 | e1 & op(e1, e3) = all_57_17 & op(e1, e2) = all_57_20 & op(e1, e1)
% 155.04/22.33 | = all_57_30 & op(e1, e0) = all_57_29 & $i(all_57_17) &
% 155.04/22.33 | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) & ((all_57_22 = e3
% 155.04/22.33 | & op(e3, e1) = e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 155.04/22.33 | all_57_26 & $i(all_57_26))) & ((all_57_23 = e2 & op(e2, e1) =
% 155.04/22.33 | e2) | ( ~ (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 155.04/22.33 | $i(all_57_28))) & ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 155.04/22.33 | (all_57_31 = e1) & op(e0, e0) = all_57_31 & $i(all_57_31))))
% 155.04/22.33 | | (all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 & all_57_15 =
% 155.04/22.33 | e0 & op(e0, all_57_18) = e3 & op(e0, all_57_21) = e2 & op(e0,
% 155.04/22.33 | all_57_24) = e1 & op(e0, all_57_31) = e0 & op(e0, e3) =
% 155.04/22.33 | all_57_18 & op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 155.04/22.33 | op(e0, e0) = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 155.04/22.33 | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3 & op(e3, e0) =
% 155.04/22.33 | e3) | ( ~ (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 155.04/22.33 | $i(all_57_26))) & ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 155.04/22.33 | (all_57_28 = e0) & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 155.04/22.33 | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~ (all_57_30 = e0) &
% 155.04/22.33 | op(e1, e1) = all_57_30 & $i(all_57_30))))) & ((all_57_16 = e2
% 155.04/22.33 | & all_57_30 = e3 & ~ (all_57_17 = e1) & ~ (all_57_28 = e3) &
% 155.04/22.33 | op(e2, e3) = e2 & op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 155.04/22.33 | & op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)) | (all_57_16 =
% 155.04/22.33 | e2 & all_57_31 = e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 155.04/22.33 | op(e2, e3) = e2 & op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18
% 155.04/22.33 | & op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)) | (all_57_17 =
% 155.04/22.33 | e1 & all_57_28 = e3 & ~ (all_57_16 = e2) & ~ (all_57_30 = e3) &
% 155.04/22.33 | op(e2, e3) = all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 155.04/22.33 | op(e1, e1) = all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 155.04/22.33 | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 = e0) & ~
% 155.04/22.33 | (all_57_30 = e3) & op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 155.04/22.33 | op(e0, e3) = all_57_18 & op(e0, e0) = e3 & $i(all_57_18) &
% 155.04/22.33 | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20
% 155.04/22.33 | = e1) & ~ (all_57_26 = e2) & op(e3, e3) = all_57_26 & op(e3,
% 155.04/22.33 | e2) = e3 & op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.04/22.33 | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3 & all_57_31 = e2
% 155.04/22.33 | & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 155.04/22.33 | all_57_26 & op(e3, e2) = e3 & op(e0, e2) = all_57_21 & op(e0, e0)
% 155.04/22.33 | = e2 & $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1 &
% 155.04/22.33 | all_57_26 = e2 & ~ (all_57_19 = e3) & ~ (all_57_30 = e2) &
% 155.04/22.33 | op(e3, e3) = e2 & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 155.04/22.33 | op(e1, e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 155.04/22.33 | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 155.04/22.33 | (all_57_30 = e2) & op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 155.04/22.33 | op(e0, e2) = all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 155.04/22.33 | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23
% 155.04/22.33 | = e2) & ~ (all_57_26 = e1) & op(e3, e3) = all_57_26 & op(e3,
% 155.04/22.33 | e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.04/22.33 | $i(all_57_23) & $i(all_57_26)) | (all_57_22 = e3 & all_57_31 = e1
% 155.04/22.33 | & ~ (all_57_24 = e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 155.04/22.33 | all_57_26 & op(e3, e1) = e3 & op(e0, e1) = all_57_24 & op(e0, e0)
% 155.04/22.33 | = e1 & $i(all_57_24) & $i(all_57_26)) | (all_57_23 = e2 &
% 155.04/22.33 | all_57_26 = e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 155.04/22.33 | op(e3, e3) = e1 & op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28
% 155.04/22.33 | & op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)) | (all_57_23 =
% 155.04/22.33 | e2 & all_57_31 = e1 & ~ (all_57_24 = e0) & ~ (all_57_28 = e1) &
% 155.04/22.33 | op(e2, e2) = all_57_28 & op(e2, e1) = e2 & op(e0, e1) = all_57_24
% 155.04/22.33 | & op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28)) | (all_57_25 =
% 155.04/22.33 | e3 & all_57_28 = e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 155.04/22.33 | op(e3, e3) = all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 155.04/22.33 | op(e2, e0) = all_57_27 & $i(all_57_26) & $i(all_57_27)) |
% 155.04/22.33 | (all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 155.04/22.33 | (all_57_29 = e1) & op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 155.04/22.33 | op(e1, e1) = e0 & op(e1, e0) = all_57_29 & $i(all_57_26) &
% 155.04/22.33 | $i(all_57_29)) | (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25
% 155.04/22.33 | = e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0) =
% 155.04/22.33 | all_57_25 & op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 155.04/22.33 | $i(all_57_25) & $i(all_57_28)) | (all_57_26 = e0 & all_57_29 = e1
% 155.04/22.33 | & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 155.04/22.33 | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 & op(e1, e0) = e1
% 155.04/22.33 | & $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 155.04/22.33 | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 155.04/22.33 | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 155.04/22.33 | all_57_29 & $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0 &
% 155.04/22.33 | all_57_29 = e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 155.04/22.33 | op(e2, e2) = e0 & op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 155.04/22.33 | & op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)) | (op(e0, e0)
% 155.04/22.33 | = all_57_31 & $i(all_57_31) & ((all_57_18 = e0 & all_57_28 = e3 &
% 155.04/22.33 | ~ (all_57_16 = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 155.04/22.33 | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 155.04/22.33 | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 = e3 & ~
% 155.04/22.33 | (all_57_17 = e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 155.04/22.33 | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 155.04/22.33 | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 = e2 & ~
% 155.04/22.33 | (all_57_19 = e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 155.04/22.33 | op(e3, e2) = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 155.04/22.33 | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 = e1) & ~
% 155.04/22.33 | (all_57_31 = e2) & op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.04/22.33 | op(e0, e2) = e0 & $i(all_57_20)) | (all_57_24 = e0 &
% 155.04/22.33 | all_57_26 = e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.04/22.33 | op(e3, e3) = e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 155.04/22.33 | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 = e1 & ~
% 155.04/22.33 | (all_57_23 = e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 155.04/22.33 | op(e2, e1) = all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))))
% 155.04/22.33 |
% 155.04/22.33 | ALPHA: (237) implies:
% 155.04/22.34 | (238) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 = e1) & ~
% 155.04/22.34 | (all_57_28 = e3) & op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 155.04/22.34 | op(e1, e3) = all_57_17 & op(e1, e1) = e3 & $i(all_57_17) &
% 155.04/22.34 | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 155.04/22.34 | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 & op(e2, e2) =
% 155.04/22.34 | all_57_28 & op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 155.04/22.34 | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1 & all_57_28 = e3 &
% 155.04/22.34 | ~ (all_57_16 = e2) & ~ (all_57_30 = e3) & op(e2, e3) = all_57_16
% 155.04/22.34 | & op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 155.04/22.34 | $i(all_57_16) & $i(all_57_30)) | (all_57_17 = e1 & all_57_31 = e3 &
% 155.04/22.34 | ~ (all_57_18 = e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 155.04/22.34 | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 155.04/22.34 | $i(all_57_18) & $i(all_57_30)) | (all_57_19 = e3 & all_57_30 = e2 &
% 155.04/22.34 | ~ (all_57_20 = e1) & ~ (all_57_26 = e2) & op(e3, e3) = all_57_26
% 155.04/22.34 | & op(e3, e2) = e3 & op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.04/22.34 | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3 & all_57_31 = e2 &
% 155.04/22.34 | ~ (all_57_21 = e0) & ~ (all_57_26 = e2) & op(e3, e3) = all_57_26
% 155.04/22.34 | & op(e3, e2) = e3 & op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 155.04/22.34 | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1 & all_57_26 = e2 &
% 155.04/22.34 | ~ (all_57_19 = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 155.04/22.34 | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 155.04/22.34 | $i(all_57_19) & $i(all_57_30)) | (all_57_20 = e1 & all_57_31 = e2 &
% 155.04/22.34 | ~ (all_57_21 = e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 155.04/22.34 | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 155.04/22.34 | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3 & all_57_28 = e1 &
% 155.04/22.34 | ~ (all_57_23 = e2) & ~ (all_57_26 = e1) & op(e3, e3) = all_57_26
% 155.04/22.34 | & op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.04/22.34 | $i(all_57_23) & $i(all_57_26)) | (all_57_22 = e3 & all_57_31 = e1 &
% 155.04/22.34 | ~ (all_57_24 = e0) & ~ (all_57_26 = e1) & op(e3, e3) = all_57_26
% 155.04/22.34 | & op(e3, e1) = e3 & op(e0, e1) = all_57_24 & op(e0, e0) = e1 &
% 155.04/22.34 | $i(all_57_24) & $i(all_57_26)) | (all_57_23 = e2 & all_57_26 = e1 &
% 155.04/22.34 | ~ (all_57_22 = e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 155.04/22.34 | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 155.04/22.34 | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2 & all_57_31 = e1 &
% 155.04/22.34 | ~ (all_57_24 = e0) & ~ (all_57_28 = e1) & op(e2, e2) = all_57_28
% 155.04/22.34 | & op(e2, e1) = e2 & op(e0, e1) = all_57_24 & op(e0, e0) = e1 &
% 155.04/22.34 | $i(all_57_24) & $i(all_57_28)) | (all_57_25 = e3 & all_57_28 = e0 &
% 155.04/22.34 | ~ (all_57_26 = e0) & ~ (all_57_27 = e2) & op(e3, e3) = all_57_26
% 155.04/22.34 | & op(e3, e0) = e3 & op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 155.04/22.34 | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3 & all_57_30 = e0 &
% 155.04/22.34 | ~ (all_57_26 = e0) & ~ (all_57_29 = e1) & op(e3, e3) = all_57_26
% 155.04/22.34 | & op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 155.04/22.34 | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0 & all_57_27 = e2 &
% 155.04/22.34 | ~ (all_57_25 = e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 155.04/22.34 | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 155.04/22.34 | $i(all_57_25) & $i(all_57_28)) | (all_57_26 = e0 & all_57_29 = e1 &
% 155.04/22.34 | ~ (all_57_25 = e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 155.04/22.34 | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 155.04/22.34 | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2 & all_57_30 = e0 &
% 155.04/22.34 | ~ (all_57_28 = e0) & ~ (all_57_29 = e1) & op(e2, e2) = all_57_28
% 155.04/22.34 | & op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 155.04/22.34 | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0 & all_57_29 = e1 &
% 155.04/22.34 | ~ (all_57_27 = e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 155.04/22.34 | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 155.04/22.34 | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 155.04/22.34 | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 155.04/22.34 | e2) & ~ (all_57_31 = e3) & op(e2, e3) = all_57_16 & op(e2,
% 155.04/22.34 | e2) = e3 & op(e0, e3) = e0 & $i(all_57_16)) | (all_57_18 = e0
% 155.04/22.34 | & all_57_30 = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.04/22.34 | op(e1, e3) = all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 155.04/22.34 | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 = e2 & ~
% 155.04/22.34 | (all_57_19 = e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 155.04/22.34 | op(e3, e2) = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 155.04/22.34 | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 = e1) & ~
% 155.04/22.34 | (all_57_31 = e2) & op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.04/22.34 | op(e0, e2) = e0 & $i(all_57_20)) | (all_57_24 = e0 & all_57_26
% 155.04/22.34 | = e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 155.04/22.34 | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0 & $i(all_57_22))
% 155.04/22.34 | | (all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 155.04/22.34 | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.04/22.34 | op(e0, e1) = e0 & $i(all_57_23))))
% 155.04/22.34 | (239) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 & all_57_3 = e0 &
% 155.04/22.34 | op(e3, all_57_19) = e2 & op(e3, all_57_22) = e1 & op(e3, all_57_25)
% 155.04/22.34 | = e0 & op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 & op(e3, e2)
% 155.04/22.34 | = all_57_19 & op(e3, e1) = all_57_22 & op(e3, e0) = all_57_25 &
% 155.04/22.34 | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 155.04/22.34 | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~ (all_57_28 = e3) & op(e2,
% 155.04/22.34 | e2) = all_57_28 & $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 155.04/22.34 | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 155.04/22.34 | $i(all_57_30))) & ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 155.04/22.34 | (all_57_31 = e3) & op(e0, e0) = all_57_31 & $i(all_57_31)))) |
% 155.04/22.34 | (all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 & all_57_7 = e0 &
% 155.04/22.34 | op(e2, all_57_16) = e3 & op(e2, all_57_23) = e1 & op(e2, all_57_27)
% 155.04/22.34 | = e0 & op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 & op(e2, e2)
% 155.04/22.34 | = all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0) = all_57_27 &
% 155.04/22.34 | $i(all_57_16) & $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 155.04/22.34 | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) & op(e3,
% 155.04/22.34 | e3) = all_57_26 & $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 155.04/22.34 | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 155.04/22.34 | $i(all_57_30))) & ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 155.04/22.34 | (all_57_31 = e2) & op(e0, e0) = all_57_31 & $i(all_57_31)))) |
% 155.04/22.34 | (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 & all_57_11 = e0 &
% 155.04/22.34 | op(e1, all_57_17) = e3 & op(e1, all_57_20) = e2 & op(e1, all_57_29)
% 155.04/22.34 | = e0 & op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 & op(e1, e2)
% 155.04/22.34 | = all_57_20 & op(e1, e1) = all_57_30 & op(e1, e0) = all_57_29 &
% 155.04/22.34 | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 155.04/22.34 | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~ (all_57_26 = e1) & op(e3,
% 155.04/22.34 | e3) = all_57_26 & $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 155.04/22.34 | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 155.04/22.34 | $i(all_57_28))) & ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 155.04/22.34 | (all_57_31 = e1) & op(e0, e0) = all_57_31 & $i(all_57_31)))) |
% 155.04/22.34 | (all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0 &
% 155.04/22.34 | op(e0, all_57_18) = e3 & op(e0, all_57_21) = e2 & op(e0, all_57_24)
% 155.04/22.34 | = e1 & op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 & op(e0, e2)
% 155.04/22.34 | = all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0) = all_57_31 &
% 155.04/22.34 | $i(all_57_18) & $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 155.04/22.34 | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) & op(e3,
% 155.04/22.34 | e3) = all_57_26 & $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 155.04/22.34 | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 155.04/22.34 | $i(all_57_28))) & ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 155.04/22.34 | (all_57_30 = e0) & op(e1, e1) = all_57_30 & $i(all_57_30))))
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_24_2, all_30_2, e0, e0,
% 155.04/22.34 | simplifying with (66), (75) gives:
% 155.04/22.34 | (240) all_30_2 = all_24_2
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_30_2, all_40_2, e0, e0,
% 155.04/22.34 | simplifying with (75), (90) gives:
% 155.04/22.34 | (241) all_40_2 = all_30_2
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_40_2, all_42_2, e0, e0,
% 155.04/22.34 | simplifying with (90), (93) gives:
% 155.04/22.34 | (242) all_42_2 = all_40_2
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_46_2, all_52_15, e0, e0,
% 155.04/22.34 | simplifying with (99), (156) gives:
% 155.04/22.34 | (243) all_52_15 = all_46_2
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_42_2, all_52_15, e0, e0,
% 155.04/22.34 | simplifying with (93), (156) gives:
% 155.04/22.34 | (244) all_52_15 = all_42_2
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_52_15, all_54_15, e0,
% 155.04/22.34 | e0, simplifying with (156), (173) gives:
% 155.04/22.34 | (245) all_54_15 = all_52_15
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_10_2, all_54_15, e0, e0,
% 155.04/22.34 | simplifying with (45), (173) gives:
% 155.04/22.34 | (246) all_54_15 = all_10_2
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_52_11, all_54_14, e1,
% 155.04/22.34 | e0, simplifying with (157), (174) gives:
% 155.04/22.34 | (247) all_54_14 = all_52_11
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_52_7, all_54_13, e2, e0,
% 155.04/22.34 | simplifying with (158), (175) gives:
% 155.04/22.34 | (248) all_54_13 = all_52_7
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_52_3, all_54_12, e3, e0,
% 155.04/22.34 | simplifying with (159), (176) gives:
% 155.04/22.34 | (249) all_54_12 = all_52_3
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_52_14, all_54_11, e0,
% 155.04/22.34 | e1, simplifying with (160), (177) gives:
% 155.04/22.34 | (250) all_54_11 = all_52_14
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_12_2, e1, e1,
% 155.04/22.34 | simplifying with (42), (48) gives:
% 155.04/22.34 | (251) all_12_2 = all_8_2
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_50_2, all_52_10, e1, e1,
% 155.04/22.34 | simplifying with (105), (161) gives:
% 155.04/22.34 | (252) all_52_10 = all_50_2
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_52_10, e1, e1,
% 155.04/22.34 | simplifying with (36), (161) gives:
% 155.04/22.34 | (253) all_52_10 = all_4_2
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_52_10, all_54_10, e1,
% 155.04/22.34 | e1, simplifying with (161), (178) gives:
% 155.04/22.34 | (254) all_54_10 = all_52_10
% 155.04/22.34 |
% 155.04/22.34 | GROUND_INST: instantiating (function-axioms) with all_48_2, all_54_10, e1, e1,
% 155.04/22.34 | simplifying with (102), (178) gives:
% 155.04/22.34 | (255) all_54_10 = all_48_2
% 155.04/22.34 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_32_2, all_54_10, e1, e1,
% 155.04/22.35 | simplifying with (78), (178) gives:
% 155.04/22.35 | (256) all_54_10 = all_32_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_12_2, all_54_10, e1, e1,
% 155.04/22.35 | simplifying with (48), (178) gives:
% 155.04/22.35 | (257) all_54_10 = all_12_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_52_6, all_54_9, e2, e1,
% 155.04/22.35 | simplifying with (162), (179) gives:
% 155.04/22.35 | (258) all_54_9 = all_52_6
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_52_2, all_54_8, e3, e1,
% 155.04/22.35 | simplifying with (163), (180) gives:
% 155.04/22.35 | (259) all_54_8 = all_52_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_52_13, all_54_7, e0, e2,
% 155.04/22.35 | simplifying with (164), (181) gives:
% 155.04/22.35 | (260) all_54_7 = all_52_13
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_52_9, all_54_6, e1, e2,
% 155.04/22.35 | simplifying with (165), (182) gives:
% 155.04/22.35 | (261) all_54_6 = all_52_9
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_26_2, e2, e2,
% 155.04/22.35 | simplifying with (60), (69) gives:
% 155.04/22.35 | (262) all_26_2 = all_20_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_16_2, all_26_2, e2, e2,
% 155.04/22.35 | simplifying with (54), (69) gives:
% 155.04/22.35 | (263) all_26_2 = all_16_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_38_2, all_52_5, e2, e2,
% 155.04/22.35 | simplifying with (87), (166) gives:
% 155.04/22.35 | (264) all_52_5 = all_38_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_26_2, all_52_5, e2, e2,
% 155.04/22.35 | simplifying with (69), (166) gives:
% 155.04/22.35 | (265) all_52_5 = all_26_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_18_2, all_52_5, e2, e2,
% 155.04/22.35 | simplifying with (57), (166) gives:
% 155.04/22.35 | (266) all_52_5 = all_18_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_54_5, e2, e2,
% 155.04/22.35 | simplifying with (60), (183) gives:
% 155.04/22.35 | (267) all_54_5 = all_20_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_54_5, e2, e2,
% 155.04/22.35 | simplifying with (39), (183) gives:
% 155.04/22.35 | (268) all_54_5 = all_6_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_52_1, all_54_4, e3, e2,
% 155.04/22.35 | simplifying with (167), (184) gives:
% 155.04/22.35 | (269) all_54_4 = all_52_1
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_52_12, all_54_3, e0, e3,
% 155.04/22.35 | simplifying with (168), (185) gives:
% 155.04/22.35 | (270) all_54_3 = all_52_12
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_52_8, all_54_2, e1, e3,
% 155.04/22.35 | simplifying with (169), (186) gives:
% 155.04/22.35 | (271) all_54_2 = all_52_8
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_52_4, all_54_1, e2, e3,
% 155.04/22.35 | simplifying with (170), (187) gives:
% 155.04/22.35 | (272) all_54_1 = all_52_4
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_28_2, all_34_2, e3, e3,
% 155.04/22.35 | simplifying with (72), (81) gives:
% 155.04/22.35 | (273) all_34_2 = all_28_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_34_2, all_36_2, e3, e3,
% 155.04/22.35 | simplifying with (81), (84) gives:
% 155.04/22.35 | (274) all_36_2 = all_34_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_36_2, all_44_2, e3, e3,
% 155.04/22.35 | simplifying with (84), (96) gives:
% 155.04/22.35 | (275) all_44_2 = all_36_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_28_2, all_52_0, e3, e3,
% 155.04/22.35 | simplifying with (72), (171) gives:
% 155.04/22.35 | (276) all_52_0 = all_28_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_22_2, all_52_0, e3, e3,
% 155.04/22.35 | simplifying with (63), (171) gives:
% 155.04/22.35 | (277) all_52_0 = all_22_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_44_2, all_54_0, e3, e3,
% 155.04/22.35 | simplifying with (96), (188) gives:
% 155.04/22.35 | (278) all_54_0 = all_44_2
% 155.04/22.35 |
% 155.04/22.35 | GROUND_INST: instantiating (function-axioms) with all_14_2, all_54_0, e3, e3,
% 155.04/22.35 | simplifying with (51), (188) gives:
% 155.04/22.35 | (279) all_54_0 = all_14_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (278), (279) imply:
% 155.04/22.35 | (280) all_44_2 = all_14_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (280) implies:
% 155.04/22.35 | (281) all_44_2 = all_14_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (267), (268) imply:
% 155.04/22.35 | (282) all_20_2 = all_6_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (282) implies:
% 155.04/22.35 | (283) all_20_2 = all_6_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (255), (257) imply:
% 155.04/22.35 | (284) all_48_2 = all_12_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (255), (256) imply:
% 155.04/22.35 | (285) all_48_2 = all_32_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (254), (255) imply:
% 155.04/22.35 | (286) all_52_10 = all_48_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (286) implies:
% 155.04/22.35 | (287) all_52_10 = all_48_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (245), (246) imply:
% 155.04/22.35 | (288) all_52_15 = all_10_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (288) implies:
% 155.04/22.35 | (289) all_52_15 = all_10_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (276), (277) imply:
% 155.04/22.35 | (290) all_28_2 = all_22_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (290) implies:
% 155.04/22.35 | (291) all_28_2 = all_22_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (264), (266) imply:
% 155.04/22.35 | (292) all_38_2 = all_18_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (264), (265) imply:
% 155.04/22.35 | (293) all_38_2 = all_26_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (252), (287) imply:
% 155.04/22.35 | (294) all_50_2 = all_48_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (252), (253) imply:
% 155.04/22.35 | (295) all_50_2 = all_4_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (243), (244) imply:
% 155.04/22.35 | (296) all_46_2 = all_42_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (243), (289) imply:
% 155.04/22.35 | (297) all_46_2 = all_10_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (294), (295) imply:
% 155.04/22.35 | (298) all_48_2 = all_4_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (298) implies:
% 155.04/22.35 | (299) all_48_2 = all_4_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (284), (285) imply:
% 155.04/22.35 | (300) all_32_2 = all_12_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (285), (299) imply:
% 155.04/22.35 | (301) all_32_2 = all_4_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (296), (297) imply:
% 155.04/22.35 | (302) all_42_2 = all_10_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (302) implies:
% 155.04/22.35 | (303) all_42_2 = all_10_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (275), (281) imply:
% 155.04/22.35 | (304) all_36_2 = all_14_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (304) implies:
% 155.04/22.35 | (305) all_36_2 = all_14_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (242), (303) imply:
% 155.04/22.35 | (306) all_40_2 = all_10_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (306) implies:
% 155.04/22.35 | (307) all_40_2 = all_10_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (241), (307) imply:
% 155.04/22.35 | (308) all_30_2 = all_10_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (308) implies:
% 155.04/22.35 | (309) all_30_2 = all_10_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (292), (293) imply:
% 155.04/22.35 | (310) all_26_2 = all_18_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (310) implies:
% 155.04/22.35 | (311) all_26_2 = all_18_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (274), (305) imply:
% 155.04/22.35 | (312) all_34_2 = all_14_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (312) implies:
% 155.04/22.35 | (313) all_34_2 = all_14_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (273), (313) imply:
% 155.04/22.35 | (314) all_28_2 = all_14_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (314) implies:
% 155.04/22.35 | (315) all_28_2 = all_14_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (300), (301) imply:
% 155.04/22.35 | (316) all_12_2 = all_4_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (316) implies:
% 155.04/22.35 | (317) all_12_2 = all_4_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (240), (309) imply:
% 155.04/22.35 | (318) all_24_2 = all_10_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (318) implies:
% 155.04/22.35 | (319) all_24_2 = all_10_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (291), (315) imply:
% 155.04/22.35 | (320) all_22_2 = all_14_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (320) implies:
% 155.04/22.35 | (321) all_22_2 = all_14_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (262), (311) imply:
% 155.04/22.35 | (322) all_20_2 = all_18_2
% 155.04/22.35 |
% 155.04/22.35 | SIMP: (322) implies:
% 155.04/22.35 | (323) all_20_2 = all_18_2
% 155.04/22.35 |
% 155.04/22.35 | COMBINE_EQS: (263), (311) imply:
% 155.04/22.36 | (324) all_18_2 = all_16_2
% 155.04/22.36 |
% 155.04/22.36 | COMBINE_EQS: (283), (323) imply:
% 155.04/22.36 | (325) all_18_2 = all_6_2
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (325) implies:
% 155.04/22.36 | (326) all_18_2 = all_6_2
% 155.04/22.36 |
% 155.04/22.36 | COMBINE_EQS: (324), (326) imply:
% 155.04/22.36 | (327) all_16_2 = all_6_2
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (327) implies:
% 155.04/22.36 | (328) all_16_2 = all_6_2
% 155.04/22.36 |
% 155.04/22.36 | COMBINE_EQS: (251), (317) imply:
% 155.04/22.36 | (329) all_8_2 = all_4_2
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (329) implies:
% 155.04/22.36 | (330) all_8_2 = all_4_2
% 155.04/22.36 |
% 155.04/22.36 | COMBINE_EQS: (311), (326) imply:
% 155.04/22.36 | (331) all_26_2 = all_6_2
% 155.04/22.36 |
% 155.04/22.36 | COMBINE_EQS: (292), (326) imply:
% 155.04/22.36 | (332) all_38_2 = all_6_2
% 155.04/22.36 |
% 155.04/22.36 | COMBINE_EQS: (264), (332) imply:
% 155.04/22.36 | (333) all_52_5 = all_6_2
% 155.04/22.36 |
% 155.04/22.36 | COMBINE_EQS: (277), (321) imply:
% 155.04/22.36 | (334) all_52_0 = all_14_2
% 155.04/22.36 |
% 155.04/22.36 | COMBINE_EQS: (255), (299) imply:
% 155.04/22.36 | (335) all_54_10 = all_4_2
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (155), (334) imply:
% 155.04/22.36 | (336) ~ (all_52_1 = all_14_2)
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (336) implies:
% 155.04/22.36 | (337) ~ (all_52_1 = all_14_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (154), (334) imply:
% 155.04/22.36 | (338) ~ (all_52_2 = all_14_2)
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (338) implies:
% 155.04/22.36 | (339) ~ (all_52_2 = all_14_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (153), (334) imply:
% 155.04/22.36 | (340) ~ (all_52_3 = all_14_2)
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (340) implies:
% 155.04/22.36 | (341) ~ (all_52_3 = all_14_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (152), (334) imply:
% 155.04/22.36 | (342) ~ (all_52_4 = all_14_2)
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (342) implies:
% 155.04/22.36 | (343) ~ (all_52_4 = all_14_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (151), (334) imply:
% 155.04/22.36 | (344) ~ (all_52_8 = all_14_2)
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (344) implies:
% 155.04/22.36 | (345) ~ (all_52_8 = all_14_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (150), (334) imply:
% 155.04/22.36 | (346) ~ (all_52_12 = all_14_2)
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (346) implies:
% 155.04/22.36 | (347) ~ (all_52_12 = all_14_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (147), (333) imply:
% 155.04/22.36 | (348) ~ (all_52_1 = all_6_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (142), (253) imply:
% 155.04/22.36 | (349) ~ (all_52_2 = all_4_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (138), (289) imply:
% 155.04/22.36 | (350) ~ (all_52_3 = all_10_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (137), (333) imply:
% 155.04/22.36 | (351) ~ (all_52_4 = all_6_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (132), (333) imply:
% 155.04/22.36 | (352) ~ (all_52_6 = all_6_2)
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (352) implies:
% 155.04/22.36 | (353) ~ (all_52_6 = all_6_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (131), (333) imply:
% 155.04/22.36 | (354) ~ (all_52_7 = all_6_2)
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (354) implies:
% 155.04/22.36 | (355) ~ (all_52_7 = all_6_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (130), (333) imply:
% 155.04/22.36 | (356) ~ (all_52_9 = all_6_2)
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (356) implies:
% 155.04/22.36 | (357) ~ (all_52_9 = all_6_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (129), (333) imply:
% 155.04/22.36 | (358) ~ (all_52_13 = all_6_2)
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (358) implies:
% 155.04/22.36 | (359) ~ (all_52_13 = all_6_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (127), (253) imply:
% 155.04/22.36 | (360) ~ (all_52_6 = all_4_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (124), (289) imply:
% 155.04/22.36 | (361) ~ (all_52_7 = all_10_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (122), (253) imply:
% 155.04/22.36 | (362) ~ (all_52_8 = all_4_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (119), (253) imply:
% 155.04/22.36 | (363) ~ (all_52_9 = all_4_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (116), (253) imply:
% 155.04/22.36 | (364) ~ (all_52_11 = all_4_2)
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (364) implies:
% 155.04/22.36 | (365) ~ (all_52_11 = all_4_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (115), (253) imply:
% 155.04/22.36 | (366) ~ (all_52_14 = all_4_2)
% 155.04/22.36 |
% 155.04/22.36 | SIMP: (366) implies:
% 155.04/22.36 | (367) ~ (all_52_14 = all_4_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (114), (289) imply:
% 155.04/22.36 | (368) ~ (all_52_11 = all_10_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (111), (289) imply:
% 155.04/22.36 | (369) ~ (all_52_12 = all_10_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (109), (289) imply:
% 155.04/22.36 | (370) ~ (all_52_13 = all_10_2)
% 155.04/22.36 |
% 155.04/22.36 | REDUCE: (108), (289) imply:
% 155.04/22.36 | (371) ~ (all_52_14 = all_10_2)
% 155.04/22.36 |
% 155.04/22.36 | BETA: splitting (37) gives:
% 155.04/22.36 |
% 155.04/22.36 | Case 1:
% 155.04/22.36 | |
% 155.04/22.36 | | (372) ~ (all_4_2 = e0)
% 155.04/22.36 | |
% 155.04/22.36 | | BETA: splitting (40) gives:
% 155.04/22.36 | |
% 155.04/22.36 | | Case 1:
% 155.04/22.36 | | |
% 155.04/22.36 | | | (373) ~ (all_6_2 = e1)
% 155.04/22.36 | | |
% 155.04/22.36 | | | BETA: splitting (43) gives:
% 155.04/22.36 | | |
% 155.04/22.36 | | | Case 1:
% 155.04/22.36 | | | |
% 155.04/22.36 | | | | (374) ~ (all_8_2 = e2)
% 155.04/22.36 | | | |
% 155.04/22.36 | | | | REDUCE: (330), (374) imply:
% 155.04/22.36 | | | | (375) ~ (all_4_2 = e2)
% 155.04/22.36 | | | |
% 155.04/22.36 | | | | BETA: splitting (46) gives:
% 155.04/22.36 | | | |
% 155.04/22.36 | | | | Case 1:
% 155.04/22.36 | | | | |
% 155.04/22.36 | | | | | (376) ~ (all_10_2 = e3)
% 155.04/22.36 | | | | |
% 155.04/22.36 | | | | | BETA: splitting (52) gives:
% 155.04/22.36 | | | | |
% 155.04/22.36 | | | | | Case 1:
% 155.04/22.36 | | | | | |
% 155.04/22.36 | | | | | | (377) ~ (all_14_2 = e2)
% 155.04/22.36 | | | | | |
% 155.04/22.36 | | | | | | BETA: splitting (55) gives:
% 155.04/22.36 | | | | | |
% 155.04/22.36 | | | | | | Case 1:
% 155.04/22.36 | | | | | | |
% 155.04/22.36 | | | | | | | (378) ~ (all_16_2 = e3)
% 155.04/22.36 | | | | | | |
% 155.04/22.36 | | | | | | | REDUCE: (328), (378) imply:
% 155.04/22.36 | | | | | | | (379) ~ (all_6_2 = e3)
% 155.04/22.36 | | | | | | |
% 155.04/22.36 | | | | | | | BETA: splitting (61) gives:
% 155.04/22.36 | | | | | | |
% 155.04/22.36 | | | | | | | Case 1:
% 155.04/22.36 | | | | | | | |
% 155.04/22.36 | | | | | | | | (380) ~ (all_20_2 = e0)
% 155.04/22.36 | | | | | | | |
% 155.04/22.36 | | | | | | | | REDUCE: (283), (380) imply:
% 155.04/22.36 | | | | | | | | (381) ~ (all_6_2 = e0)
% 155.04/22.36 | | | | | | | |
% 155.04/22.36 | | | | | | | | BETA: splitting (199) gives:
% 155.04/22.36 | | | | | | | |
% 155.04/22.36 | | | | | | | | Case 1:
% 155.04/22.36 | | | | | | | | |
% 155.04/22.36 | | | | | | | | | (382) all_54_5 = e3
% 155.04/22.36 | | | | | | | | |
% 155.04/22.36 | | | | | | | | | COMBINE_EQS: (268), (382) imply:
% 155.04/22.36 | | | | | | | | | (383) all_6_2 = e3
% 155.04/22.36 | | | | | | | | |
% 155.04/22.36 | | | | | | | | | REDUCE: (379), (383) imply:
% 155.04/22.36 | | | | | | | | | (384) $false
% 155.04/22.36 | | | | | | | | |
% 155.04/22.36 | | | | | | | | | CLOSE: (384) is inconsistent.
% 155.04/22.36 | | | | | | | | |
% 155.04/22.37 | | | | | | | | Case 2:
% 155.04/22.37 | | | | | | | | |
% 155.04/22.37 | | | | | | | | | (385) ~ (all_54_5 = e3)
% 155.04/22.37 | | | | | | | | | (386) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 155.04/22.37 | | | | | | | | |
% 155.04/22.37 | | | | | | | | | BETA: splitting (386) gives:
% 155.04/22.37 | | | | | | | | |
% 155.04/22.37 | | | | | | | | | Case 1:
% 155.04/22.37 | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | (387) all_54_5 = e2
% 155.04/22.37 | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | COMBINE_EQS: (268), (387) imply:
% 155.04/22.37 | | | | | | | | | | (388) all_6_2 = e2
% 155.04/22.37 | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | REDUCE: (348), (388) imply:
% 155.04/22.37 | | | | | | | | | | (389) ~ (all_52_1 = e2)
% 155.04/22.37 | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | REDUCE: (351), (388) imply:
% 155.04/22.37 | | | | | | | | | | (390) ~ (all_52_4 = e2)
% 155.04/22.37 | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | REDUCE: (353), (388) imply:
% 155.04/22.37 | | | | | | | | | | (391) ~ (all_52_6 = e2)
% 155.04/22.37 | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | REDUCE: (355), (388) imply:
% 155.04/22.37 | | | | | | | | | | (392) ~ (all_52_7 = e2)
% 155.04/22.37 | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | REDUCE: (357), (388) imply:
% 155.04/22.37 | | | | | | | | | | (393) ~ (all_52_9 = e2)
% 155.04/22.37 | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | REDUCE: (359), (388) imply:
% 155.04/22.37 | | | | | | | | | | (394) ~ (all_52_13 = e2)
% 155.04/22.37 | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | REDUCE: (379), (388) imply:
% 155.04/22.37 | | | | | | | | | | (395) ~ (e3 = e2)
% 155.04/22.37 | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | REDUCE: (39), (388) imply:
% 155.04/22.37 | | | | | | | | | | (396) op(e2, e2) = e2
% 155.04/22.37 | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | BETA: splitting (73) gives:
% 155.04/22.37 | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | Case 1:
% 155.04/22.37 | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | (397) ~ (all_28_2 = e1)
% 155.04/22.37 | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | REDUCE: (315), (397) imply:
% 155.04/22.37 | | | | | | | | | | | (398) ~ (all_14_2 = e1)
% 155.04/22.37 | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | BETA: splitting (76) gives:
% 155.04/22.37 | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | Case 1:
% 155.04/22.37 | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | (399) ~ (all_30_2 = e2)
% 155.04/22.37 | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | REDUCE: (309), (399) imply:
% 155.04/22.37 | | | | | | | | | | | | (400) ~ (all_10_2 = e2)
% 155.04/22.37 | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | BETA: splitting (79) gives:
% 155.04/22.37 | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | Case 1:
% 155.04/22.37 | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | (401) ~ (all_32_2 = e3)
% 155.04/22.37 | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | REDUCE: (301), (401) imply:
% 155.04/22.37 | | | | | | | | | | | | | (402) ~ (all_4_2 = e3)
% 155.04/22.37 | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | BETA: splitting (194) gives:
% 155.04/22.37 | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | Case 1:
% 155.04/22.37 | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | (403) all_54_10 = e3
% 155.04/22.37 | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | REF_CLOSE: (335), (402), (403) are inconsistent by sub-proof
% 155.04/22.37 | | | | | | | | | | | | | | #1479.
% 155.04/22.37 | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | Case 2:
% 155.04/22.37 | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | (404) ~ (all_54_10 = e3)
% 155.04/22.37 | | | | | | | | | | | | | | (405) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 155.04/22.37 | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | BETA: splitting (405) gives:
% 155.04/22.37 | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | Case 1:
% 155.04/22.37 | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | (406) all_54_10 = e2
% 155.04/22.37 | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (406) are inconsistent by sub-proof
% 155.04/22.37 | | | | | | | | | | | | | | | #1478.
% 155.04/22.37 | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | Case 2:
% 155.04/22.37 | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | (407) ~ (all_54_10 = e2)
% 155.04/22.37 | | | | | | | | | | | | | | | (408) all_54_10 = e1 | all_54_10 = e0
% 155.04/22.37 | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | BETA: splitting (408) gives:
% 155.04/22.37 | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | Case 1:
% 155.04/22.37 | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | (409) all_54_10 = e1
% 155.04/22.37 | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (409) imply:
% 155.04/22.37 | | | | | | | | | | | | | | | | (410) all_4_2 = e1
% 155.04/22.37 | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | SIMP: (410) implies:
% 155.04/22.37 | | | | | | | | | | | | | | | | (411) all_4_2 = e1
% 155.04/22.37 | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | REDUCE: (349), (411) imply:
% 155.04/22.37 | | | | | | | | | | | | | | | | (412) ~ (all_52_2 = e1)
% 155.04/22.37 | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | REDUCE: (360), (411) imply:
% 155.04/22.37 | | | | | | | | | | | | | | | | (413) ~ (all_52_6 = e1)
% 155.04/22.37 | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | REDUCE: (363), (411) imply:
% 155.04/22.37 | | | | | | | | | | | | | | | | (414) ~ (all_52_9 = e1)
% 155.04/22.37 | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | REDUCE: (367), (411) imply:
% 155.04/22.37 | | | | | | | | | | | | | | | | (415) ~ (all_52_14 = e1)
% 155.04/22.37 | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | REDUCE: (402), (411) imply:
% 155.04/22.37 | | | | | | | | | | | | | | | | (416) ~ (e3 = e1)
% 155.04/22.37 | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | REDUCE: (375), (411) imply:
% 155.04/22.37 | | | | | | | | | | | | | | | | (417) ~ (e2 = e1)
% 155.04/22.37 | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | REDUCE: (36), (411) imply:
% 155.04/22.37 | | | | | | | | | | | | | | | | (418) op(e1, e1) = e1
% 155.04/22.37 | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 155.04/22.37 | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.37 | | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | | (419) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 155.04/22.37 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 155.04/22.37 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 155.04/22.37 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 155.04/22.37 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 155.04/22.37 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 155.04/22.37 | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 155.04/22.37 | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 155.04/22.37 | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 155.04/22.37 | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 155.04/22.37 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 155.04/22.37 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 155.04/22.37 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 155.04/22.37 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 155.04/22.37 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 155.04/22.37 | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 155.04/22.37 | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 155.04/22.37 | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 155.04/22.37 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 155.04/22.37 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 155.04/22.37 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 155.04/22.37 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 155.04/22.37 | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 155.04/22.37 | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 155.04/22.37 | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 155.04/22.37 | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 155.04/22.37 | | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | | BETA: splitting (419) gives:
% 155.04/22.37 | | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.37 | | | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | | | (420) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 155.04/22.37 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 155.04/22.37 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 155.04/22.37 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 155.04/22.37 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 155.04/22.37 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 155.04/22.37 | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 155.04/22.37 | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 155.04/22.37 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 155.04/22.37 | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 155.04/22.37 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 155.04/22.37 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 155.04/22.37 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 155.04/22.37 | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 155.04/22.37 | | | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (163), (376), (412), (418), (420),
% 155.04/22.37 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.04/22.37 | | | | | | | | | | | | | | | | | | #1473.
% 155.04/22.37 | | | | | | | | | | | | | | | | | |
% 155.04/22.37 | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.37 | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | (421) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 155.04/22.38 | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 155.04/22.38 | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 155.04/22.38 | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 155.04/22.38 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 155.04/22.38 | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | BETA: splitting (421) gives:
% 155.04/22.38 | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.38 | | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | (422) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 155.04/22.38 | | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (375), (400), (422), (function-axioms)
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1470.
% 155.04/22.38 | | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.38 | | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | (423) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 155.04/22.38 | | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (45), (51), (377), (396), (400), (423),
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | #1466.
% 155.04/22.38 | | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.38 | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | End of split
% 155.04/22.38 | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.38 | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | (424) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 155.04/22.38 | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 155.04/22.38 | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 155.04/22.38 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 155.04/22.38 | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 155.04/22.38 | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 155.04/22.38 | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 155.04/22.38 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 155.04/22.38 | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 155.04/22.38 | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 155.04/22.38 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 155.04/22.38 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 155.04/22.38 | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 155.04/22.38 | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | BETA: splitting (424) gives:
% 155.04/22.38 | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.38 | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | (425) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 155.04/22.38 | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 155.04/22.38 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 155.04/22.38 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 155.04/22.38 | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | BETA: splitting (425) gives:
% 155.04/22.38 | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.38 | | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | (426) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 155.04/22.38 | | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | BETA: splitting (426) gives:
% 155.04/22.38 | | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | | (427) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | | ALPHA: (427) implies:
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | | (428) all_57_31 = e1
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | | (429) all_57_22 = e3
% 155.04/22.38 | | | | | | | | | | | | | | | | | | | | (430) ~ (all_57_26 = e1)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | (431) ~ (all_57_24 = e0)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | (432) op(e0, e0) = e1
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | (433) op(e0, e1) = all_57_24
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | (434) op(e3, e1) = e3
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | (435) op(e3, e3) = all_57_26
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | (436) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (436) gives:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (437) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (437) implies:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (438) op(e3, all_57_22) = e1
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (429), (438) imply:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (439) op(e3, e3) = e1
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (435), (439), (function-axioms) are
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1465.
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (440) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (440) implies:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (441) op(e2, e0) = all_57_27
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (442) op(e2, e1) = all_57_23
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (443) op(e2, e2) = all_57_28
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (444) op(e2, e3) = all_57_16
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (445) op(e2, all_57_23) = e1
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (446) op(e2, all_57_16) = e3
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (447) (all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (447) gives:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (448) all_57_20 = e1 & op(e1, e2) = e1
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (448) implies:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (449) op(e1, e2) = e1
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (413), (449), (function-axioms) are
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (450) ~ (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (450) implies:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (451) ~ (all_57_30 = e2)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (452) op(e1, e1) = all_57_30
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e1,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (45), (432) gives:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (453) all_10_2 = e1
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_24, e1, e0, simplifying with (157), (433)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (454) all_57_24 = all_52_11
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (418), (452)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (455) all_57_30 = e1
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e0, e2, simplifying with (164), (441)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (456) all_57_27 = all_52_13
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_23, e1, e2, simplifying with (165), (442)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (457) all_57_23 = all_52_9
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (396), (443)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (458) all_57_28 = e2
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_16, e3, e2, simplifying with (167), (444)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (459) all_57_16 = all_52_1
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (434) gives:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (460) all_52_8 = e3
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e3, e3, simplifying with (51), (435)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (461) all_57_26 = all_14_2
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (431), (454) imply:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (462) ~ (all_52_11 = e0)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (453) imply:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (463) ~ (all_52_3 = e1)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (460) imply:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (464) ~ (all_52_4 = e3)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (460) imply:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (465) ~ (all_52_9 = e3)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (465) implies:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (466) ~ (all_52_9 = e3)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (460) imply:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (467) ~ (all_52_11 = e3)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (467) implies:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (468) ~ (all_52_11 = e3)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (345), (460) imply:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (469) ~ (all_14_2 = e3)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (469) implies:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (470) ~ (all_14_2 = e3)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (453) imply:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (471) ~ (all_52_11 = e1)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (453) imply:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (472) ~ (all_52_13 = e1)
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (459) imply:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (473) op(e2, all_52_1) = e3
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (445), (457) imply:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | (474) op(e2, all_52_9) = e1
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | (475) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (475) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | (476) all_56_2 = e1 & op(e2, e3) = e1
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (476) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | (477) op(e2, e3) = e1
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (478) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (170), (377), (390), (478),
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | #1462.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (479) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (479) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) all_56_4 = e2 & op(e3, e1) = e2
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (480) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) op(e3, e1) = e2
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (434), (481), (function-axioms) are
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1461.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) all_56_9 = e2 & op(e3, e0) = e2
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (482) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) all_56_9 = e2
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) op(e3, e0) = e2
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) all_54_0 = e3
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (485) imply:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) all_14_2 = e3
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (470), (486) imply:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) $false
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (487) is inconsistent.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) all_56_2 = e3 & op(e2, e3) = e3
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (490) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) op(e2, e3) = e3
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (477), (491), (function-axioms) are
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1460.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) all_56_3 = e3 & op(e2, e2) = e3
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (492) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (493) op(e2, e2) = e3
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (396), (493), (function-axioms) are
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (494) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (494) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495) all_56_5 = e3 & op(e2, e1) = e3
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (495) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) all_56_5 = e3
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (434), (496), (497), (function-axioms) are
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1456.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (418), (462), (498), (function-axioms)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1453.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) all_56_10 = e3 & op(e2, e0) = e3
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (499) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_56_10 = e3
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (488) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) all_54_0 = e2
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (501) imply:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_14_2 = e2
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (502) imply:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) $false
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (503) is inconsistent.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) ~ (all_54_0 = e2)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) all_54_0 = e1 | all_54_0 = e0
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (506) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) all_56_0 = e3 & op(e3, e3) = e3
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (507) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) op(e3, e3) = e3
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) all_56_15 = e0 & op(e0, e0) = e0
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (509) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) op(e0, e0) = e0
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (432), (510), (function-axioms) are
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1452.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (511) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (513) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) all_56_9 = e0 & op(e3, e0) = e0
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (483), (514) are inconsistent by sub-proof
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1451.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (515) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) all_56_10 = e0 & op(e2, e0) = e0
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (500), (516) are inconsistent by sub-proof
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1450.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) all_56_11 = e0 & op(e1, e0) = e0
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (517) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) all_56_11 = e0
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (519) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) all_56_6 = e2 & op(e1, e3) = e2
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (520) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) all_56_6 = e2
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) all_56_1 = e1 & op(e3, e2) = e1
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (523) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) all_56_1 = e1
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (525) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) all_56_9 = e1 & op(e3, e0) = e1
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (483), (526) are inconsistent by sub-proof
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1449.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) all_56_10 = e1 & op(e2, e0) = e1
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (211),
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (432), (518), (527),
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1429.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (528) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) all_56_11 = e1 & op(e1, e0) = e1
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (529) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) all_56_11 = e1
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (212), (376),
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483), (484), (513), (530), (function-axioms) are
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1422.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) all_56_15 = e1 & op(e0, e0) = e1
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (531) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) all_56_15 = e1
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (533) gives:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) all_56_0 = e0 & op(e3, e3) = e0
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (534) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) op(e3, e3) = e0
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (508), (535), (function-axioms) are
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1421.
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) all_56_1 = e0 & op(e3, e2) = e0
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (536) implies:
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) all_56_1 = e0
% 155.04/22.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (524), (537) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) e1 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (45), (210), (212),
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (483), (484), (518), (532), (538),
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1417.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (539) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) all_56_4 = e0 & op(e3, e1) = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (540) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) op(e3, e1) = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (434), (541), (function-axioms) are
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1458.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) all_56_9 = e0 & op(e3, e0) = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (483), (542) are inconsistent by sub-proof
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1451.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) all_56_3 = e1 & op(e2, e2) = e1
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (543) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) op(e2, e2) = e1
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (396), (544), (function-axioms) are
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1468.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (165), (209),
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (219), (393), (413), (432), (434),
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512), (518), (521), (545), (function-axioms) are
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1399.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) all_56_7 = e2 & op(e1, e2) = e2
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (546) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) op(e1, e2) = e2
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (391), (547), (function-axioms) are
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (451), (452), (518), (548), (function-axioms)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1395.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) all_56_1 = e3 & op(e3, e2) = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (549) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) op(e3, e2) = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (464), (550), (function-axioms) are
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1394.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (551) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) all_56_4 = e3 & op(e3, e1) = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (552) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) all_56_4 = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) all_56_15 = e0 & op(e0, e0) = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (554) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) op(e0, e0) = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (432), (555), (function-axioms) are
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1452.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (556) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (558) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) all_56_9 = e0 & op(e3, e0) = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (483), (559) are inconsistent by sub-proof
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1451.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (560) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) all_56_10 = e0 & op(e2, e0) = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (500), (561) are inconsistent by sub-proof
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1450.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) all_56_11 = e0 & op(e1, e0) = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (562) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) all_56_11 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) all_54_6 = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (466), (564) are inconsistent by sub-proof
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1393.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) ~ (all_54_6 = e3)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (566) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) all_54_6 = e2
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (393), (567) are inconsistent by sub-proof
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1392.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) ~ (all_54_6 = e2)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) all_54_6 = e1 | all_54_6 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (570) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) all_56_6 = e2 & op(e1, e3) = e2
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (571) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) all_56_6 = e2
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) op(e1, e3) = e2
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (569) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) all_54_6 = e1
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (414), (574) are inconsistent by sub-proof
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1391.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) all_54_6 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (575) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) all_52_9 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (576) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) all_52_9 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (577) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) ~ (all_52_11 = e0)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (577) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) ~ (all_52_13 = e0)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (579) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) ~ (all_52_13 = e0)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (466), (577) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) ~ (e3 = e0)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (393), (577) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) ~ (e2 = e0)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (414), (577) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) ~ (e1 = e0)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (474), (577) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) op(e2, e0) = e1
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (577) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585) op(e2, e1) = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (586) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (586) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (587) all_56_1 = e1 & op(e3, e2) = e1
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (587) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (588) all_56_1 = e1
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589) all_54_14 = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (468), (589) are inconsistent by sub-proof
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1390.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (591) all_54_7 = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (591) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (592) all_52_13 = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (592) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (593) all_52_13 = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (593) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (594) ~ (all_52_14 = e3)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (594) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (595) ~ (all_52_14 = e3)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (593) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (596) op(e2, e0) = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (597) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (598) all_56_6 = e3 & op(e1, e3) = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (598) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (599) all_56_6 = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (572), (599) are inconsistent by sub-proof
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1414.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (600) all_56_7 = e3 & op(e1, e2) = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (600) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601) all_56_7 = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (590) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (602) all_54_14 = e2
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (602) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (603) all_52_11 = e2
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (603) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (604) ~ (all_52_3 = e2)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (505) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (605) all_54_0 = e1
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (398), (605) are inconsistent by sub-proof
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1389.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (606) all_54_0 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (606) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (607) all_14_2 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (607) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (608) all_14_2 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (337), (608) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (609) ~ (all_52_1 = e0)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (341), (608) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (610) ~ (all_52_3 = e0)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (608) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (611) op(e3, e3) = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612) all_54_12 = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (612) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613) all_52_3 = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (613) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (614) all_52_3 = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (614) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (615) ~ (all_52_1 = e3)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (614) imply:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (616) ~ (all_52_2 = e3)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (617) all_54_8 = e3
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (616), (617) are inconsistent by sub-proof
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1388.
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (618) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (619) gives:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) all_56_1 = e0 & op(e3, e2) = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (620) implies:
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) all_56_1 = e0
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (483),
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484), (611), (621), (function-axioms) are
% 155.04/22.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) all_56_3 = e0 & op(e2, e2) = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (622) implies:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) op(e2, e2) = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (396), (623), (function-axioms) are
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (624) gives:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) all_56_7 = e0 & op(e1, e2) = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (625) implies:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) all_56_7 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (601), (626) imply:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) e3 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (627) imply:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) all_56_4 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (483),
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484), (611), (628), (function-axioms) are
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1372.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) all_56_13 = e0 & op(e0, e2) = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (629) implies:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) all_56_13 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (618) gives:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) all_54_8 = e2
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (631) imply:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) all_52_2 = e2
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (632) implies:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) all_52_2 = e2
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (633) imply:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) ~ (all_52_14 = e2)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (634) implies:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) ~ (all_52_14 = e2)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) all_54_11 = e3
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (595), (636) are inconsistent by sub-proof
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1371.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) all_54_4 = e3
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (615), (638) are inconsistent by sub-proof
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1370.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) ~ (all_54_4 = e3)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (640) gives:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) all_54_4 = e2
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (389), (641) are inconsistent by sub-proof
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1369.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) ~ (all_54_4 = e2)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) all_54_4 = e1 | all_54_4 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (643) gives:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) all_54_4 = e1
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (644) imply:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) all_52_1 = e1
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (645) implies:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) all_52_1 = e1
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (473), (646) imply:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) op(e2, e1) = e3
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (637) gives:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) all_54_11 = e2
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (635), (648) are inconsistent by sub-proof
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1368.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) all_54_11 = e1 | all_54_11 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (649) gives:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) all_54_11 = e1
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (415), (650) are inconsistent by sub-proof
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1367.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) all_54_11 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (651) imply:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) all_52_14 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (652) implies:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) all_52_14 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e0,
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (584), (596) gives:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) e3 = e1
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e1,
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (585), (647) gives:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) e3 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (654), (655) imply:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) e1 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (656) imply:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) all_56_1 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (396), (601), (630), (657),
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1364.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) all_54_4 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (609), (658) are inconsistent by sub-proof
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1363.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) ~ (all_54_8 = e2)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (659) imply:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) ~ (all_52_2 = e2)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (573), (660), (function-axioms) are
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (463), (604), (610), (661) are inconsistent
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1357.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) all_54_14 = e1 | all_54_14 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (462), (471), (662) are inconsistent by
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1356.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (418), (595), (663), (function-axioms)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1354.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (394), (472), (580), (664) are inconsistent
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1349.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) all_56_3 = e1 & op(e2, e2) = e1
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (665) implies:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) op(e2, e2) = e1
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (396), (666), (function-axioms) are
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1468.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (165), (209),
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (219), (393), (413), (432), (434),
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557), (563), (572), (667), (function-axioms) are
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1399.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) all_56_7 = e2 & op(e1, e2) = e2
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (668) implies:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) op(e1, e2) = e2
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (391), (669), (function-axioms) are
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (451), (452), (563), (670), (function-axioms)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1395.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) all_56_9 = e3 & op(e3, e0) = e3
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (671) implies:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) op(e3, e0) = e3
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (484), (672), (function-axioms) are
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1448.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | (673) all_56_3 = e1 & op(e2, e2) = e1
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (673) implies:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | (674) op(e2, e2) = e1
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (396), (674), (function-axioms) are
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1468.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | (675) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (675) gives:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | (676) all_56_5 = e1 & op(e2, e1) = e1
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (414), (676), (function-axioms) are
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | (677) all_56_10 = e1 & op(e2, e0) = e1
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (677) implies:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | (678) all_56_10 = e1
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (679) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (170), (377), (390), (679),
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | #1462.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (680) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (680) gives:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) all_56_4 = e2 & op(e3, e1) = e2
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (681) implies:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (682) op(e3, e1) = e2
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (434), (682), (function-axioms) are
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1461.
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) all_56_9 = e2 & op(e3, e0) = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (683) implies:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) all_56_9 = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) op(e3, e0) = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (206), (212),
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (432), (678), (684), (685),
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1346.
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | (686) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (428), (431), (432), (686), (function-axioms) are
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1342.
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | (687) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (687) implies:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | (688) op(e3, e3) = e1
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (398), (688), (function-axioms) are
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1341.
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | (689) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 155.04/22.43 | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (689) gives:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | (690) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (690) implies:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | (691) op(e2, e1) = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (393), (691), (function-axioms) are
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | (692) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (396), (418), (692), (function-axioms)
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1340.
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.43 | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (693) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 155.04/22.43 | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 155.04/22.43 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 155.04/22.43 | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.04/22.43 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 155.04/22.43 | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (36), (51), (160), (164),
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (375), (377), (394), (396), (398), (415), (418),
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (693), (function-axioms) are inconsistent by
% 155.04/22.43 | | | | | | | | | | | | | | | | | | sub-proof #1333.
% 155.04/22.43 | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | Case 2:
% 155.04/22.43 | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | (694) all_54_10 = e0
% 155.04/22.43 | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (694) are inconsistent by sub-proof
% 155.04/22.43 | | | | | | | | | | | | | | | | #1332.
% 155.04/22.43 | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | End of split
% 155.04/22.43 | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | Case 2:
% 155.04/22.43 | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | (695) all_32_2 = e3
% 155.04/22.43 | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | COMBINE_EQS: (301), (695) imply:
% 155.04/22.43 | | | | | | | | | | | | | (696) all_4_2 = e3
% 155.04/22.43 | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | SIMP: (696) implies:
% 155.04/22.43 | | | | | | | | | | | | | (697) all_4_2 = e3
% 155.04/22.43 | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | REDUCE: (349), (697) imply:
% 155.04/22.43 | | | | | | | | | | | | | (698) ~ (all_52_2 = e3)
% 155.04/22.43 | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | REDUCE: (360), (697) imply:
% 155.04/22.43 | | | | | | | | | | | | | (699) ~ (all_52_6 = e3)
% 155.04/22.43 | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | REDUCE: (362), (697) imply:
% 155.04/22.43 | | | | | | | | | | | | | (700) ~ (all_52_8 = e3)
% 155.04/22.43 | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | REDUCE: (365), (697) imply:
% 155.04/22.43 | | | | | | | | | | | | | (701) ~ (all_52_11 = e3)
% 155.04/22.43 | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | REDUCE: (367), (697) imply:
% 155.04/22.43 | | | | | | | | | | | | | (702) ~ (all_52_14 = e3)
% 155.04/22.43 | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | REDUCE: (36), (697) imply:
% 155.04/22.43 | | | | | | | | | | | | | (703) op(e1, e1) = e3
% 155.04/22.43 | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | BETA: splitting (216) gives:
% 155.04/22.43 | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | (704) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 155.04/22.43 | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 155.04/22.43 | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | BETA: splitting (704) gives:
% 155.04/22.43 | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | (705) all_56_6 = e3 & op(e1, e3) = e3
% 155.04/22.43 | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | ALPHA: (705) implies:
% 155.04/22.43 | | | | | | | | | | | | | | | (706) all_56_6 = e3
% 155.04/22.43 | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 155.04/22.43 | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | (707) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 155.04/22.43 | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 155.04/22.43 | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | BETA: splitting (707) gives:
% 155.04/22.43 | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | (708) all_56_4 = e3 & op(e3, e1) = e3
% 155.04/22.43 | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | ALPHA: (708) implies:
% 155.04/22.43 | | | | | | | | | | | | | | | | | (709) op(e3, e1) = e3
% 155.04/22.43 | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (700), (709), (function-axioms) are
% 155.04/22.43 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 155.04/22.43 | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.43 | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | (710) all_56_5 = e3 & op(e2, e1) = e3
% 155.04/22.43 | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | ALPHA: (710) implies:
% 155.04/22.43 | | | | | | | | | | | | | | | | | (711) all_56_5 = e3
% 155.04/22.43 | | | | | | | | | | | | | | | | | (712) op(e2, e1) = e3
% 155.04/22.43 | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 155.04/22.43 | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (713) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 155.04/22.43 | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (167), (377), (389), (713),
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.04/22.43 | | | | | | | | | | | | | | | | | | #1329.
% 155.04/22.43 | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.43 | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | (714) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 155.04/22.43 | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 155.04/22.43 | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | BETA: splitting (714) gives:
% 155.04/22.43 | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | (715) all_56_6 = e2 & op(e1, e3) = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (706), (715) are inconsistent by sub-proof
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | #1328.
% 155.04/22.43 | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | (716) all_56_12 = e2 & op(e0, e3) = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | ALPHA: (716) implies:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | (717) all_56_12 = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | (718) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (718) gives:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | (719) all_56_0 = e1 & op(e3, e3) = e1
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | ALPHA: (719) implies:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | (720) op(e3, e3) = e1
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | (721) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (389), (720), (721), (function-axioms)
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1326.
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (714) gives:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | (722) all_56_6 = e2 & op(e1, e3) = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (706), (722) are inconsistent by sub-proof
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | #1328.
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | (723) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (723) gives:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | (724) all_56_4 = e1 & op(e3, e1) = e1
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (724) implies:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | (725) all_56_4 = e1
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (726) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (726) gives:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) all_56_4 = e2 & op(e3, e1) = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (727) implies:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) all_56_4 = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (217), (218), (703),
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (711), (712), (728), (function-axioms) are
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1318.
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) all_56_5 = e2 & op(e2, e1) = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (729) implies:
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) op(e2, e1) = e2
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (393), (730), (function-axioms) are
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 155.04/22.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (731) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (731) gives:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) all_56_8 = e2 & op(e1, e1) = e2
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (732) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) op(e1, e1) = e2
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (703), (733), (function-axioms) are
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) all_56_14 = e2 & op(e0, e1) = e2
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (734) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) op(e0, e1) = e2
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (736) gives:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) all_56_4 = e0 & op(e3, e1) = e0
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (737) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) all_56_4 = e0
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (725), (738) are inconsistent by sub-proof
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1373.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) all_56_5 = e0 & op(e2, e1) = e0
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (739) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) all_56_5 = e0
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (711), (740) are inconsistent by sub-proof
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1316.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (703), (735), (741), (function-axioms)
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1314.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | (742) all_56_5 = e1 & op(e2, e1) = e1
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (742) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | (743) op(e2, e1) = e1
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (712), (743), (function-axioms) are
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | (744) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (744) gives:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | (745) all_56_8 = e1 & op(e1, e1) = e1
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (745) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | (746) op(e1, e1) = e1
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (703), (746), (function-axioms) are
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1477.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | (747) all_56_14 = e1 & op(e0, e1) = e1
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (747) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | (748) all_56_14 = e1
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (749) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (749) gives:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) all_56_4 = e2 & op(e3, e1) = e2
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (750) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) all_56_4 = e2
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (217), (218), (703),
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (711), (712), (751), (function-axioms) are
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1318.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) all_56_5 = e2 & op(e2, e1) = e2
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (752) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) op(e2, e1) = e2
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (393), (753), (function-axioms) are
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (754) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (754) gives:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) all_56_8 = e2 & op(e1, e1) = e2
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (755) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) op(e1, e1) = e2
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (703), (756), (function-axioms) are
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) all_56_14 = e2 & op(e0, e1) = e2
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (757) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) all_56_14 = e2
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (758) imply:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) e2 = e1
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (759) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) e2 = e1
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (760) imply:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) all_56_12 = e1
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (229), (233),
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (389), (720), (761), (function-axioms) are
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1298.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | (762) all_56_2 = e1 & op(e2, e3) = e1
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | ALPHA: (762) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | (763) all_56_2 = e1
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | (764) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (396), (763), (764), (function-axioms)
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1296.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | (765) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (765) gives:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | (766) all_56_5 = e0 & op(e2, e1) = e0
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (711), (766) are inconsistent by sub-proof
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | #1457.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | (767) all_56_10 = e0 & op(e2, e0) = e0
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (767) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | (768) all_56_10 = e0
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | (769) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (769) gives:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | (770) all_56_9 = e3 & op(e3, e0) = e3
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (770) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | (771) op(e3, e0) = e3
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (170), (217),
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | (218), (234), (377), (390), (703), (711), (712),
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | (771), (function-axioms) are inconsistent by
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1294.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | (772) all_56_10 = e3 & op(e2, e0) = e3
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (772) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | (773) all_56_10 = e3
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (768), (773) are inconsistent by sub-proof
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | | #1293.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | (774) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (376), (702), (774),
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | | #1292.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | (775) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (775) gives:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | (776) all_56_6 = e1 & op(e1, e3) = e1
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (706), (776) are inconsistent by sub-proof
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | #1291.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | (777) all_56_12 = e1 & op(e0, e3) = e1
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (717), (777) are inconsistent by sub-proof
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | | #1290.
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | (778) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 155.04/22.44 | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 155.04/22.44 | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | BETA: splitting (778) gives:
% 155.04/22.44 | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.44 | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | (779) all_56_8 = e3 & op(e1, e1) = e3
% 155.04/22.44 | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | ALPHA: (779) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | | | (780) all_56_8 = e3
% 155.04/22.44 | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (45), (51), (82),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (110), (112), (113), (117), (126), (128), (135),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (136), (139), (141), (143), (144), (145), (146),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (189), (193), (195), (196), (197), (198), (200),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (201), (203), (204), (206), (207), (208), (209),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (214), (216), (218),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (226), (228), (233),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (235), (236), (238), (239), (246), (250), (258),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (259), (260), (261), (269), (270), (272), (279),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (313), (337), (339), (341), (343), (345), (347),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (350), (361), (369), (370), (371), (375), (376),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (377), (389), (390), (392), (393), (394), (396),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (398), (400), (698), (699), (700), (701), (702),
% 155.04/22.44 | | | | | | | | | | | | | | | | | (703), (780), (function-axioms) are inconsistent
% 155.04/22.44 | | | | | | | | | | | | | | | | | by sub-proof #1174.
% 155.04/22.44 | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | (781) all_56_14 = e3 & op(e0, e1) = e3
% 155.04/22.44 | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (701), (781), (function-axioms) are
% 155.04/22.44 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 155.04/22.44 | | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | (782) all_56_7 = e3 & op(e1, e2) = e3
% 155.04/22.44 | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | ALPHA: (782) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | (783) op(e1, e2) = e3
% 155.04/22.44 | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | REF_CLOSE: (162), (699), (783), (function-axioms) are
% 155.04/22.44 | | | | | | | | | | | | | | | inconsistent by sub-proof #1268.
% 155.04/22.44 | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | End of split
% 155.04/22.44 | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | Case 2:
% 155.04/22.44 | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | (784) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 155.04/22.44 | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 155.04/22.44 | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | BETA: splitting (784) gives:
% 155.04/22.44 | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | Case 1:
% 155.04/22.44 | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | (785) all_56_8 = e3 & op(e1, e1) = e3
% 155.04/22.44 | | | | | | | | | | | | | | |
% 155.04/22.44 | | | | | | | | | | | | | | | ALPHA: (785) implies:
% 155.04/22.44 | | | | | | | | | | | | | | | (786) all_56_8 = e3
% 155.04/22.44 | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (36), (45), (51), (82),
% 155.04/22.45 | | | | | | | | | | | | | | | (110), (112), (113), (117), (126), (128), (135),
% 155.04/22.45 | | | | | | | | | | | | | | | (136), (139), (141), (143), (144), (145), (146),
% 155.04/22.45 | | | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 155.04/22.45 | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 155.04/22.45 | | | | | | | | | | | | | | | (189), (193), (195), (196), (197), (198), (200),
% 155.04/22.45 | | | | | | | | | | | | | | | (201), (203), (204), (206), (207), (208), (209),
% 155.04/22.45 | | | | | | | | | | | | | | | (210), (211), (212), (213), (214), (216), (218),
% 155.04/22.45 | | | | | | | | | | | | | | | (220), (221), (222), (223), (226), (228), (233),
% 155.04/22.45 | | | | | | | | | | | | | | | (235), (236), (238), (239), (246), (250), (258),
% 155.04/22.45 | | | | | | | | | | | | | | | (259), (260), (261), (269), (270), (272), (279),
% 155.04/22.45 | | | | | | | | | | | | | | | (313), (337), (339), (341), (343), (345), (347),
% 155.04/22.45 | | | | | | | | | | | | | | | (350), (361), (369), (370), (371), (375), (376),
% 155.04/22.45 | | | | | | | | | | | | | | | (377), (389), (390), (392), (393), (394), (396),
% 155.04/22.45 | | | | | | | | | | | | | | | (398), (400), (698), (699), (700), (701), (702),
% 155.04/22.45 | | | | | | | | | | | | | | | (703), (786), (function-axioms) are inconsistent
% 155.04/22.45 | | | | | | | | | | | | | | | by sub-proof #1174.
% 155.04/22.45 | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | Case 2:
% 155.04/22.45 | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | (787) all_56_11 = e3 & op(e1, e0) = e3
% 155.04/22.45 | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | ALPHA: (787) implies:
% 155.04/22.45 | | | | | | | | | | | | | | | (788) op(e1, e0) = e3
% 155.04/22.45 | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | REF_CLOSE: (160), (702), (788), (function-axioms) are
% 155.04/22.45 | | | | | | | | | | | | | | | inconsistent by sub-proof #1355.
% 155.04/22.45 | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | End of split
% 155.04/22.45 | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | End of split
% 155.04/22.45 | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | End of split
% 155.04/22.45 | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | Case 2:
% 155.04/22.45 | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | (789) all_30_2 = e2
% 155.04/22.45 | | | | | | | | | | | | (790) ( ~ (all_30_0 = e3) & op(e2, e0) = all_30_0 &
% 155.04/22.45 | | | | | | | | | | | | $i(all_30_0)) | ( ~ (all_30_1 = e1) & op(e2, e2)
% 155.04/22.45 | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 155.04/22.45 | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | COMBINE_EQS: (309), (789) imply:
% 155.04/22.45 | | | | | | | | | | | | (791) all_10_2 = e2
% 155.04/22.45 | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | SIMP: (791) implies:
% 155.04/22.45 | | | | | | | | | | | | (792) all_10_2 = e2
% 155.04/22.45 | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | REDUCE: (369), (792) imply:
% 155.04/22.45 | | | | | | | | | | | | (793) ~ (all_52_12 = e2)
% 155.04/22.45 | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | REDUCE: (371), (792) imply:
% 155.04/22.45 | | | | | | | | | | | | (794) ~ (all_52_14 = e2)
% 155.04/22.45 | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | REDUCE: (45), (792) imply:
% 155.04/22.45 | | | | | | | | | | | | (795) op(e0, e0) = e2
% 155.04/22.45 | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | BETA: splitting (215) gives:
% 155.04/22.45 | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | Case 1:
% 155.04/22.45 | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | (796) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 155.04/22.45 | | | | | | | | | | | | | & op(e1, e2) = e2)
% 155.04/22.45 | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | BETA: splitting (796) gives:
% 155.04/22.45 | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | Case 1:
% 155.04/22.45 | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | (797) all_56_6 = e2 & op(e1, e3) = e2
% 155.04/22.45 | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | ALPHA: (797) implies:
% 155.04/22.45 | | | | | | | | | | | | | | (798) op(e1, e3) = e2
% 155.04/22.45 | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 155.04/22.45 | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | Case 1:
% 155.04/22.45 | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | (799) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 155.04/22.45 | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 155.04/22.45 | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | REF_CLOSE: (51), (170), (377), (390), (799),
% 155.04/22.45 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.04/22.45 | | | | | | | | | | | | | | | #1462.
% 155.04/22.45 | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | Case 2:
% 155.04/22.45 | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | (800) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 155.04/22.45 | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 155.04/22.45 | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | BETA: splitting (800) gives:
% 155.04/22.45 | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | Case 1:
% 155.04/22.45 | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | (801) all_56_4 = e2 & op(e3, e1) = e2
% 155.04/22.45 | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | ALPHA: (801) implies:
% 155.04/22.45 | | | | | | | | | | | | | | | | (802) all_56_4 = e2
% 155.04/22.45 | | | | | | | | | | | | | | | | (803) op(e3, e1) = e2
% 155.04/22.45 | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 155.04/22.45 | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (798) gives:
% 155.04/22.45 | | | | | | | | | | | | | | | | (804) all_52_2 = e2
% 155.04/22.45 | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 155.04/22.45 | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (803) gives:
% 155.04/22.45 | | | | | | | | | | | | | | | | (805) all_52_8 = e2
% 155.04/22.45 | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | REDUCE: (123), (805) imply:
% 155.04/22.45 | | | | | | | | | | | | | | | | (806) ~ (all_52_9 = e2)
% 155.04/22.45 | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | REDUCE: (345), (805) imply:
% 155.04/22.45 | | | | | | | | | | | | | | | | (807) ~ (all_14_2 = e2)
% 155.04/22.45 | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | REDUCE: (362), (805) imply:
% 155.04/22.45 | | | | | | | | | | | | | | | | (808) ~ (all_4_2 = e2)
% 155.04/22.45 | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 155.04/22.45 | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.45 | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | (809) ~ (all_32_2 = e3)
% 155.04/22.45 | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | REDUCE: (301), (809) imply:
% 155.04/22.45 | | | | | | | | | | | | | | | | | (810) ~ (all_4_2 = e3)
% 155.04/22.45 | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 155.04/22.45 | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.45 | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | (811) all_54_10 = e3
% 155.04/22.45 | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (810), (811) are inconsistent by sub-proof
% 155.04/22.45 | | | | | | | | | | | | | | | | | | #1479.
% 155.04/22.45 | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.45 | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | (812) ~ (all_54_10 = e3)
% 155.04/22.45 | | | | | | | | | | | | | | | | | | (813) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 155.04/22.45 | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | BETA: splitting (813) gives:
% 155.04/22.45 | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | (814) all_54_10 = e2
% 155.04/22.45 | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (814) are inconsistent by sub-proof
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | #1478.
% 155.04/22.45 | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | (815) ~ (all_54_10 = e2)
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | (816) all_54_10 = e1 | all_54_10 = e0
% 155.04/22.45 | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (816) gives:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | (817) all_54_10 = e1
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (817) imply:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | (818) all_4_2 = e1
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | SIMP: (818) implies:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | (819) all_4_2 = e1
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (819) imply:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | (820) ~ (all_52_6 = e1)
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (819) imply:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | (821) ~ (all_52_14 = e1)
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (810), (819) imply:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | (822) ~ (e3 = e1)
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (819) imply:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | (823) ~ (e2 = e1)
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (819) imply:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | (824) op(e1, e1) = e1
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | (825) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (825) gives:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | (826) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (826) gives:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | (827) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (795), (824), (827), (function-axioms)
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1172.
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | (828) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (795), (798), (828), (function-axioms)
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1170.
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | (829) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (829) gives:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | (830) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (830) gives:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | (831) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (831) implies:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | (832) op(e1, e1) = e2
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (832), (function-axioms) are
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | (833) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (833) implies:
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | (834) all_57_31 = e2
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | (835) all_57_19 = e3
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | (836) ~ (all_57_26 = e2)
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | (837) ~ (all_57_21 = e0)
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | (838) op(e3, e2) = e3
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (136), (162), (170), (239), (798), (803),
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | (834), (835), (836), (837), (838),
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | | #1165.
% 155.04/22.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | (839) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (839) gives:
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (840) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (840) implies:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (841) op(e3, e3) = e2
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (377), (841), (function-axioms) are
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (842) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (842) gives:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | (843) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (843) implies:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | (844) op(e1, e2) = e1
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (820), (844), (function-axioms) are
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | (845) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (845) implies:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | (846) op(e2, e2) = e1
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (396), (846), (function-axioms) are
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1468.
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (847) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (847) gives:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (848) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (848) gives:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (849) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (398), (795), (849), (function-axioms)
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1164.
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (850) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (850) gives:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (851) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (851) implies:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (852) op(e0, e0) = e1
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (795), (852), (function-axioms) are
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1431.
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (853) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (396), (824), (853), (function-axioms)
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1340.
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (854) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (854) gives:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (855) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (394), (821), (855),
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | #1337.
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (856) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (856) gives:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (857) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (857) implies:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (858) op(e2, e0) = e2
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (394), (858), (function-axioms) are
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (859) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (859) gives:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | (860) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (860) implies:
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | (861) op(e2, e2) = e0
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (396), (861), (function-axioms) are
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 155.65/22.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | (862) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (862) implies:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | (863) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (51), (375), (377), (396),
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | (398), (824), (863), (function-axioms) are
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1334.
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | (864) all_54_10 = e0
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (864) are inconsistent by sub-proof
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | #1332.
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.47 | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.47 | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | End of split
% 155.65/22.47 | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.47 | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | (865) all_32_2 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (865) imply:
% 155.65/22.47 | | | | | | | | | | | | | | | | | (866) all_4_2 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | SIMP: (866) implies:
% 155.65/22.47 | | | | | | | | | | | | | | | | | (867) all_4_2 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (867) imply:
% 155.65/22.47 | | | | | | | | | | | | | | | | | (868) all_50_2 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | REDUCE: (360), (867) imply:
% 155.65/22.47 | | | | | | | | | | | | | | | | | (869) ~ (all_52_6 = e3)
% 155.65/22.47 | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | REDUCE: (367), (867) imply:
% 155.65/22.47 | | | | | | | | | | | | | | | | | (870) ~ (all_52_14 = e3)
% 155.65/22.47 | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | REDUCE: (36), (867) imply:
% 155.65/22.47 | | | | | | | | | | | | | | | | | (871) op(e1, e1) = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.47 | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | (872) ~ (all_50_2 = e3)
% 155.65/22.47 | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | REDUCE: (868), (872) imply:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | (873) $false
% 155.65/22.47 | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | CLOSE: (873) is inconsistent.
% 155.65/22.47 | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.47 | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | (874) ( ~ (all_50_0 = e2) & op(e3, e1) = all_50_0 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | $i(all_50_0)) | ( ~ (all_50_1 = e0) & op(e3, e3)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 155.65/22.47 | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | BETA: splitting (874) gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | (875) ~ (all_50_0 = e2) & op(e3, e1) = all_50_0 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | $i(all_50_0)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | ALPHA: (875) implies:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | (876) ~ (all_50_0 = e2)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | (877) op(e3, e1) = all_50_0
% 155.65/22.47 | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (803), (876), (877), (function-axioms) are
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1163.
% 155.65/22.47 | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | (878) ~ (all_50_1 = e0) & op(e3, e3) = all_50_1 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | ALPHA: (878) implies:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | (879) ~ (all_50_1 = e0)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | (880) op(e3, e3) = all_50_1
% 155.65/22.47 | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | all_50_1, e3, e3, simplifying with (51), (880)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | (881) all_50_1 = all_14_2
% 155.65/22.47 | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | REDUCE: (879), (881) imply:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | (882) ~ (all_14_2 = e0)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | (883) all_54_0 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (883) imply:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | (884) all_14_2 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (884) imply:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | (885) ~ (all_52_4 = e3)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (884) imply:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | (886) ~ (all_52_12 = e3)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (884) imply:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | (887) op(e3, e3) = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | (888) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (888) gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | (889) all_56_2 = e3 & op(e2, e3) = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (889) implies:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | (890) all_56_2 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | (891) op(e2, e3) = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | (892) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (168), (221),
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (389), (396), (886), (890), (891),
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | (892), (function-axioms) are inconsistent by
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1204.
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | (893) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (795), (870), (893), (function-axioms)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1162.
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | (894) all_56_3 = e3 & op(e2, e2) = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (894) implies:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | (895) op(e2, e2) = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (396), (895), (function-axioms) are
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | (896) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (896) gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | (897) all_56_5 = e3 & op(e2, e1) = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (897) implies:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | (898) all_56_5 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | (899) op(e2, e1) = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (217), (218), (802),
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | (871), (898), (899), (function-axioms) are
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1318.
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | (900) all_56_10 = e3 & op(e2, e0) = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (900) implies:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | (901) all_56_10 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | (902) op(e2, e0) = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | (903) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (167), (170),
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (393), (885), (901), (903),
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | #1269.
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | (904) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (904) gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | (905) all_56_7 = e3 & op(e1, e2) = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (905) implies:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | (906) op(e1, e2) = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (869), (906), (function-axioms) are
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1268.
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | (907) all_56_13 = e3 & op(e0, e2) = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (907) implies:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | (908) op(e0, e2) = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (908) gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | (909) all_52_7 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (902) gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | (910) all_52_13 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | (911) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (911) gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (912) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (798), (871), (912), (function-axioms) are
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1161.
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (913) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (913) implies:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (914) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (795), (908), (914), (function-axioms) are
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1160.
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | (915) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (915) gives:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (916) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (916) implies:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (917) op(e1, e1) = all_57_30
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (918) op(e1, e3) = all_57_17
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (919) op(e1, all_57_30) = e1
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (920) (all_57_23 = e2 & op(e2, e1) = e2) | ( ~
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (921) (all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (790) gives:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (922) ~ (all_30_0 = e3) & op(e2, e0) = all_30_0 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_0)
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (922) implies:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (923) ~ (all_30_0 = e3)
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) op(e2, e0) = all_30_0
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (902), (923), (924), (function-axioms) are
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1159.
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) ~ (all_30_1 = e1) & op(e2, e2) = all_30_1 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (925) implies:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) ~ (all_30_1 = e1)
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) op(e2, e2) = all_30_1
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (920) gives:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) all_57_23 = e2 & op(e2, e1) = e2
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (928) implies:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) op(e2, e1) = e2
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (393), (929), (function-axioms) are
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) ~ (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (930) implies:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (931) op(e2, e2) = all_57_28
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (921) gives:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (932) all_57_22 = e3 & op(e3, e1) = e3
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (932) implies:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (933) op(e3, e1) = e3
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (803), (933), (function-axioms) are
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1461.
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (871), (917)
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (934) all_57_30 = e3
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e3, e1, simplifying with (798), (918)
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (935) all_57_17 = e2
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (396), (931)
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (936) all_57_28 = e2
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_30_1,
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (927), (931)
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) all_57_28 = all_30_1
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (936), (937) imply:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) all_30_1 = e2
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (938) implies:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) all_30_1 = e2
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (919), (934) imply:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) op(e1, e3) = e1
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (798), (940), (function-axioms) are
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1171.
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (941) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (941) implies:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (942) op(e0, e0) = all_57_31
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (943) op(e0, e2) = all_57_21
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (944) op(e0, all_57_31) = e0
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (945) (all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (795), (886), (887), (908), (942), (943),
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (944), (945), (function-axioms) are inconsistent
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1158.
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | (946) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (377), (398), (882), (946) are inconsistent
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | | by sub-proof #1229.
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | Case 2:
% 155.65/22.48 | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | (947) all_56_9 = e2 & op(e3, e0) = e2
% 155.65/22.48 | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | ALPHA: (947) implies:
% 155.65/22.48 | | | | | | | | | | | | | | | | (948) op(e3, e0) = e2
% 155.65/22.48 | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | | REF_CLOSE: (168), (793), (948), (function-axioms) are
% 155.65/22.48 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1157.
% 155.65/22.48 | | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | Case 2:
% 155.65/22.48 | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | (949) all_56_7 = e2 & op(e1, e2) = e2
% 155.65/22.48 | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | ALPHA: (949) implies:
% 155.65/22.48 | | | | | | | | | | | | | | (950) op(e1, e2) = e2
% 155.65/22.48 | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | REF_CLOSE: (162), (391), (950), (function-axioms) are
% 155.65/22.48 | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 155.65/22.48 | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | Case 2:
% 155.65/22.48 | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | (951) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 155.65/22.48 | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 155.65/22.48 | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | REF_CLOSE: (36), (160), (375), (794), (951),
% 155.65/22.48 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.48 | | | | | | | | | | | | | #1156.
% 155.65/22.48 | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | Case 2:
% 155.65/22.48 | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | (952) all_28_2 = e1
% 155.65/22.48 | | | | | | | | | | | (953) ( ~ (all_28_0 = e2) & op(e1, e3) = all_28_0 &
% 155.65/22.48 | | | | | | | | | | | $i(all_28_0)) | ( ~ (all_28_1 = e0) & op(e1, e1)
% 155.65/22.48 | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 155.65/22.48 | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | COMBINE_EQS: (315), (952) imply:
% 155.65/22.48 | | | | | | | | | | | (954) all_14_2 = e1
% 155.65/22.48 | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | SIMP: (954) implies:
% 155.65/22.48 | | | | | | | | | | | (955) all_14_2 = e1
% 155.65/22.48 | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | REDUCE: (337), (955) imply:
% 155.65/22.48 | | | | | | | | | | | (956) ~ (all_52_1 = e1)
% 155.65/22.48 | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | REDUCE: (339), (955) imply:
% 155.65/22.48 | | | | | | | | | | | (957) ~ (all_52_2 = e1)
% 155.65/22.48 | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | REDUCE: (341), (955) imply:
% 155.65/22.48 | | | | | | | | | | | (958) ~ (all_52_3 = e1)
% 155.65/22.48 | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | REDUCE: (343), (955) imply:
% 155.65/22.48 | | | | | | | | | | | (959) ~ (all_52_4 = e1)
% 155.65/22.48 | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | REDUCE: (345), (955) imply:
% 155.65/22.48 | | | | | | | | | | | (960) ~ (all_52_8 = e1)
% 155.65/22.48 | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | REDUCE: (347), (955) imply:
% 155.65/22.48 | | | | | | | | | | | (961) ~ (all_52_12 = e1)
% 155.65/22.48 | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | REDUCE: (377), (955) imply:
% 155.65/22.48 | | | | | | | | | | | (962) ~ (e2 = e1)
% 155.65/22.48 | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | REDUCE: (51), (955) imply:
% 155.65/22.48 | | | | | | | | | | | (963) op(e3, e3) = e1
% 155.65/22.48 | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | BETA: splitting (76) gives:
% 155.65/22.48 | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | Case 1:
% 155.65/22.48 | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | (964) ~ (all_30_2 = e2)
% 155.65/22.48 | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | REDUCE: (309), (964) imply:
% 155.65/22.48 | | | | | | | | | | | | (965) ~ (all_10_2 = e2)
% 155.65/22.48 | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | BETA: splitting (238) gives:
% 155.65/22.48 | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | Case 1:
% 155.65/22.48 | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | (966) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 155.65/22.48 | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 155.65/22.48 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 155.65/22.48 | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 155.65/22.48 | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 155.65/22.48 | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 155.65/22.48 | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 155.65/22.48 | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 155.65/22.48 | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 155.65/22.48 | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 155.65/22.48 | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 155.65/22.48 | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 155.65/22.48 | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 155.65/22.48 | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 155.65/22.48 | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 155.65/22.48 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 155.65/22.48 | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 155.65/22.48 | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 155.65/22.48 | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 155.65/22.48 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 155.65/22.48 | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.65/22.48 | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 155.65/22.48 | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 155.65/22.48 | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 155.65/22.48 | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 155.65/22.48 | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 155.65/22.48 | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 155.65/22.48 | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 155.65/22.48 | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 155.65/22.48 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 155.65/22.48 | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 155.65/22.48 | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 155.65/22.48 | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 155.65/22.48 | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 155.65/22.48 | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 155.65/22.48 | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 155.65/22.48 | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 155.65/22.48 | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 155.65/22.48 | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 155.65/22.48 | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | BETA: splitting (966) gives:
% 155.65/22.48 | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | Case 1:
% 155.65/22.48 | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | (967) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 155.65/22.48 | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 155.65/22.48 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 155.65/22.48 | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 155.65/22.48 | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 155.65/22.48 | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 155.65/22.48 | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 155.65/22.48 | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 155.65/22.48 | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 155.65/22.48 | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 155.65/22.48 | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 155.65/22.48 | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 155.65/22.48 | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 155.65/22.48 | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 155.65/22.48 | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 155.65/22.48 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 155.65/22.48 | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 155.65/22.48 | | | | | | | | | | | | | | $i(all_57_30))
% 155.65/22.48 | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | BETA: splitting (967) gives:
% 155.65/22.48 | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | Case 1:
% 155.65/22.48 | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | (968) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 155.65/22.48 | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 155.65/22.48 | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 155.65/22.48 | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 155.65/22.48 | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 155.65/22.48 | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 155.65/22.48 | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 155.65/22.48 | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 155.65/22.48 | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 155.65/22.48 | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | REF_CLOSE: (45), (167), (376), (389), (968),
% 155.65/22.48 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.48 | | | | | | | | | | | | | | | #1289.
% 155.65/22.48 | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | Case 2:
% 155.65/22.48 | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | (969) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 155.65/22.48 | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 155.65/22.48 | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 155.65/22.48 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 155.65/22.48 | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 155.65/22.48 | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 155.65/22.48 | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 155.65/22.48 | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 155.65/22.48 | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 155.65/22.48 | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | | REF_CLOSE: (45), (163), (376), (957), (969),
% 155.65/22.48 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.48 | | | | | | | | | | | | | | | #1474.
% 155.65/22.48 | | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | End of split
% 155.65/22.48 | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | Case 2:
% 155.65/22.48 | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | (970) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 155.65/22.48 | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 155.65/22.48 | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 155.65/22.48 | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 155.65/22.48 | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 155.65/22.48 | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 155.65/22.48 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 155.65/22.48 | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 155.65/22.48 | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 155.65/22.48 | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 155.65/22.48 | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 155.65/22.48 | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 155.65/22.48 | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 155.65/22.48 | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 155.65/22.48 | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 155.65/22.48 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 155.65/22.48 | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 155.65/22.48 | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 155.65/22.48 | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 155.65/22.48 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 155.65/22.48 | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.65/22.48 | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 155.65/22.48 | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | BETA: splitting (970) gives:
% 155.65/22.48 | | | | | | | | | | | | | |
% 155.65/22.48 | | | | | | | | | | | | | | Case 1:
% 155.65/22.48 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | (971) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 155.65/22.49 | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 155.65/22.49 | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 155.65/22.49 | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 155.65/22.49 | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 155.65/22.49 | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 155.65/22.49 | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (375), (965), (971), (function-axioms)
% 155.65/22.49 | | | | | | | | | | | | | | | are inconsistent by sub-proof #1470.
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | Case 2:
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | (972) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 155.65/22.49 | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 155.65/22.49 | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 155.65/22.49 | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 155.65/22.49 | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 155.65/22.49 | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 155.65/22.49 | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 155.65/22.49 | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | REF_CLOSE: (6), (45), (396), (963), (965), (972),
% 155.65/22.49 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.49 | | | | | | | | | | | | | | | #1155.
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | End of split
% 155.65/22.49 | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | End of split
% 155.65/22.49 | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | Case 2:
% 155.65/22.49 | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | (973) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 155.65/22.49 | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 155.65/22.49 | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 155.65/22.49 | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.65/22.49 | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 155.65/22.49 | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.49 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 155.65/22.49 | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 155.65/22.49 | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 155.65/22.49 | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 155.65/22.49 | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 155.65/22.49 | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 155.65/22.49 | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 155.65/22.49 | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 155.65/22.49 | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 155.65/22.49 | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 155.65/22.49 | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 155.65/22.49 | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 155.65/22.49 | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 155.65/22.49 | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 155.65/22.49 | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 155.65/22.49 | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 155.65/22.49 | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 155.65/22.49 | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 155.65/22.49 | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 155.65/22.49 | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 155.65/22.49 | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 155.65/22.49 | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 155.65/22.49 | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 155.65/22.49 | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 155.65/22.49 | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 155.65/22.49 | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 155.65/22.49 | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 155.65/22.49 | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 155.65/22.49 | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 155.65/22.49 | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 155.65/22.49 | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 155.65/22.49 | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 155.65/22.49 | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 155.65/22.49 | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 155.65/22.49 | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 155.65/22.49 | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 155.65/22.49 | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.65/22.49 | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 155.65/22.49 | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 155.65/22.49 | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 155.65/22.49 | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 155.65/22.49 | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 155.65/22.49 | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 155.65/22.49 | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 155.65/22.49 | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 155.65/22.49 | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.65/22.49 | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 155.65/22.49 | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 155.65/22.49 | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.49 | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 155.65/22.49 | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 155.65/22.49 | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.65/22.49 | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 155.65/22.49 | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | BETA: splitting (973) gives:
% 155.65/22.49 | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | Case 1:
% 155.65/22.49 | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | (974) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 155.65/22.49 | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 155.65/22.49 | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 155.65/22.49 | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.65/22.49 | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 155.65/22.49 | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.49 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 155.65/22.49 | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 155.65/22.49 | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 155.65/22.49 | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 155.65/22.49 | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 155.65/22.49 | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 155.65/22.49 | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 155.65/22.49 | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 155.65/22.49 | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 155.65/22.49 | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 155.65/22.49 | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 155.65/22.49 | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 155.65/22.49 | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 155.65/22.49 | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 155.65/22.49 | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | BETA: splitting (974) gives:
% 155.65/22.49 | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | Case 1:
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | (975) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 155.65/22.49 | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 155.65/22.49 | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 155.65/22.49 | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.65/22.49 | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 155.65/22.49 | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 155.65/22.49 | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | REF_CLOSE: (165), (393), (963), (975), (function-axioms) are
% 155.65/22.49 | | | | | | | | | | | | | | | inconsistent by sub-proof #1154.
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | Case 2:
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | (976) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 155.65/22.49 | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 155.65/22.49 | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 155.65/22.49 | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.65/22.49 | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 155.65/22.49 | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 155.65/22.49 | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 155.65/22.49 | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 155.65/22.49 | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 155.65/22.49 | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | BETA: splitting (976) gives:
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | Case 1:
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | (977) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 155.65/22.49 | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 155.65/22.49 | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 155.65/22.49 | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 155.65/22.49 | | | | | | | | | | | | | | | | $i(all_57_28)
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | ALPHA: (977) implies:
% 155.65/22.49 | | | | | | | | | | | | | | | | (978) op(e2, e1) = e2
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (393), (978), (function-axioms) are
% 155.65/22.49 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | Case 2:
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | (979) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 155.65/22.49 | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 155.65/22.49 | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 155.65/22.49 | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 155.65/22.49 | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 155.65/22.49 | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | BETA: splitting (979) gives:
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.49 | | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | | (980) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 155.65/22.49 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 155.65/22.49 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 155.65/22.49 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 155.65/22.49 | | | | | | | | | | | | | | | | | $i(all_57_27)
% 155.65/22.49 | | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | | ALPHA: (980) implies:
% 155.65/22.49 | | | | | | | | | | | | | | | | | (981) op(e2, e2) = e0
% 155.65/22.49 | | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (396), (981), (function-axioms) are
% 155.65/22.49 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 155.65/22.49 | | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.49 | | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | | (982) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 155.65/22.49 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 155.65/22.49 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 155.65/22.49 | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 155.65/22.49 | | | | | | | | | | | | | | | | | $i(all_57_29)
% 155.65/22.49 | | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | | ALPHA: (982) implies:
% 155.65/22.49 | | | | | | | | | | | | | | | | | (983) op(e1, e1) = e0
% 155.65/22.49 | | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (372), (983), (function-axioms) are
% 155.65/22.49 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1153.
% 155.65/22.49 | | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | End of split
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | End of split
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | End of split
% 155.65/22.49 | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | Case 2:
% 155.65/22.49 | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | (984) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 155.65/22.49 | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 155.65/22.49 | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 155.65/22.49 | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 155.65/22.49 | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 155.65/22.49 | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 155.65/22.49 | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 155.65/22.49 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 155.65/22.49 | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 155.65/22.49 | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 155.65/22.49 | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 155.65/22.49 | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 155.65/22.49 | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 155.65/22.49 | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 155.65/22.49 | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 155.65/22.49 | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 155.65/22.49 | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 155.65/22.49 | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 155.65/22.49 | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 155.65/22.49 | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 155.65/22.49 | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 155.65/22.49 | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 155.65/22.49 | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 155.65/22.49 | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.65/22.49 | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 155.65/22.49 | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 155.65/22.49 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 155.65/22.49 | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 155.65/22.49 | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 155.65/22.49 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 155.65/22.49 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 155.65/22.49 | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 155.65/22.49 | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.65/22.49 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 155.65/22.49 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 155.65/22.49 | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.49 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 155.65/22.49 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 155.65/22.49 | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.65/22.49 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 155.65/22.49 | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | BETA: splitting (984) gives:
% 155.65/22.49 | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | Case 1:
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | (985) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 155.65/22.49 | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 155.65/22.49 | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 155.65/22.49 | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 155.65/22.49 | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 155.65/22.49 | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (394), (963), (985), (function-axioms)
% 155.65/22.49 | | | | | | | | | | | | | | | are inconsistent by sub-proof #1152.
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | Case 2:
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | (986) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 155.65/22.49 | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 155.65/22.49 | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 155.65/22.49 | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 155.65/22.49 | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 155.65/22.49 | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 155.65/22.49 | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 155.65/22.49 | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 155.65/22.49 | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 155.65/22.49 | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 155.65/22.49 | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 155.65/22.49 | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 155.65/22.49 | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 155.65/22.49 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 155.65/22.49 | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 155.65/22.49 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 155.65/22.49 | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 155.65/22.49 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 155.65/22.49 | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 155.65/22.49 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 155.65/22.49 | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.65/22.49 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | BETA: splitting (986) gives:
% 155.65/22.49 | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | Case 1:
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | (987) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 155.65/22.49 | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 155.65/22.49 | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 155.65/22.49 | | | | | | | | | | | | | | | | $i(all_57_29)
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | ALPHA: (987) implies:
% 155.65/22.49 | | | | | | | | | | | | | | | | (988) op(e2, e0) = e2
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (394), (988), (function-axioms) are
% 155.65/22.49 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | Case 2:
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | (989) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 155.65/22.49 | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 155.65/22.49 | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 155.65/22.49 | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 155.65/22.49 | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 155.65/22.49 | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 155.65/22.49 | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 155.65/22.49 | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 155.65/22.49 | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 155.65/22.49 | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 155.65/22.49 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 155.65/22.49 | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 155.65/22.49 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 155.65/22.49 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 155.65/22.49 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 155.65/22.49 | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 155.65/22.49 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 155.65/22.49 | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.65/22.49 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | BETA: splitting (989) gives:
% 155.65/22.49 | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.49 | | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | | (990) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 155.65/22.49 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 155.65/22.49 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 155.65/22.49 | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 155.65/22.49 | | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | | ALPHA: (990) implies:
% 155.65/22.49 | | | | | | | | | | | | | | | | | (991) op(e2, e2) = e0
% 155.65/22.49 | | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (396), (991), (function-axioms) are
% 155.65/22.49 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 155.65/22.49 | | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.49 | | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | | (992) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 155.65/22.49 | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 155.65/22.49 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 155.65/22.49 | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 155.65/22.49 | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 155.65/22.49 | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 155.65/22.49 | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 155.65/22.49 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 155.65/22.49 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 155.65/22.49 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 155.65/22.49 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 155.65/22.49 | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 155.65/22.49 | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 155.65/22.49 | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 155.65/22.49 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 155.65/22.49 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 155.65/22.49 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 155.65/22.49 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 155.65/22.49 | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 155.65/22.49 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 155.65/22.49 | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 155.65/22.49 | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 155.65/22.49 | | | | | | | | | | | | | | | | |
% 155.65/22.49 | | | | | | | | | | | | | | | | | ALPHA: (992) implies:
% 155.65/22.49 | | | | | | | | | | | | | | | | | (993) op(e0, e0) = all_57_31
% 155.65/22.50 | | | | | | | | | | | | | | | | | (994) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 155.65/22.50 | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.65/22.50 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 155.65/22.50 | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 155.65/22.50 | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 155.65/22.50 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 155.65/22.50 | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.65/22.50 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 155.65/22.50 | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 155.65/22.50 | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 155.65/22.50 | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2,
% 155.65/22.50 | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (45), (993)
% 155.65/22.50 | | | | | | | | | | | | | | | | | gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | (995) all_57_31 = all_10_2
% 155.65/22.50 | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | (996) ~ (all_32_2 = e3)
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | REDUCE: (301), (996) imply:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | (997) ~ (all_4_2 = e3)
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | (998) all_54_10 = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (997), (998) are inconsistent by sub-proof
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | #1479.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | (999) ~ (all_54_10 = e3)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | (1000) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 155.65/22.50 | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (1000) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | (1001) all_54_10 = e2
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (1001) are inconsistent by sub-proof
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | #1478.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | (1002) ~ (all_54_10 = e2)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | (1003) all_54_10 = e1 | all_54_10 = e0
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | BETA: splitting (994) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | (1004) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1004) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | (1005) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1005) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | (1006) op(e2, e2) = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (396), (1006), (function-axioms) are
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | (1007) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1007) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | (1008) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1008) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | (1009) op(e1, e1) = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (335), (372), (997), (1003), (1009),
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | #1151.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | (1010) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1010) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | (1011) op(e3, e3) = e2
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (963), (1011), (function-axioms) are
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | (1012) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1012) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | (1013) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1013) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | (1014) op(e1, e1) = e2
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (1014), (function-axioms) are
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | (1015) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1015) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | (1016) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1016) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | (1017) ~ (all_57_31 = e1)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | (1018) op(e0, e1) = e0
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (995), (1017) imply:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | (1019) ~ (all_10_2 = e1)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | (1020) all_54_15 = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (376), (1020) are inconsistent by sub-proof
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | #1265.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | (1021) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1021) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1022) all_54_15 = e2
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (965), (1022) are inconsistent by sub-proof
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | #1264.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1023) all_54_15 = e1 | all_54_15 = e0
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (246), (368), (1018), (1019), (1023),
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | #1150.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | (1024) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1024) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | (1025) op(e2, e2) = e1
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (396), (1025), (function-axioms) are
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1468.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | (1026) all_32_2 = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (1026) imply:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | (1027) all_4_2 = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | SIMP: (1027) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | (1028) all_4_2 = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | REDUCE: (362), (1028) imply:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | (1029) ~ (all_52_8 = e3)
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | REDUCE: (363), (1028) imply:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | (1030) ~ (all_52_9 = e3)
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | REDUCE: (365), (1028) imply:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | (1031) ~ (all_52_11 = e3)
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | REDUCE: (367), (1028) imply:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | (1032) ~ (all_52_14 = e3)
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | REDUCE: (36), (1028) imply:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | (1033) op(e1, e1) = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | (1034) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (1034) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | (1035) all_56_4 = e3 & op(e3, e1) = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | ALPHA: (1035) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | (1036) op(e3, e1) = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1029), (1036), (function-axioms) are
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | (1037) all_56_5 = e3 & op(e2, e1) = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | ALPHA: (1037) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | (1038) all_56_5 = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | (1039) op(e2, e1) = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (167),
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | (170), (212), (217), (218), (222), (234), (376),
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | (390), (396), (956), (963), (1032), (1033),
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | (1038), (1039), (function-axioms) are inconsistent
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | by sub-proof #1146.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | (1040) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (1040) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | (1041) all_56_8 = e3 & op(e1, e1) = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | ALPHA: (1041) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | (1042) all_56_8 = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | (1043) ~ (all_40_2 = e1)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (307), (1043) imply:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | (1044) ~ (all_10_2 = e1)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | (1045) all_54_15 = e3
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (376), (1045) are inconsistent by sub-proof
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | #1265.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | (1046) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1046) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | (1047) all_54_15 = e2
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (965), (1047) are inconsistent by sub-proof
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | #1264.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | (1048) all_54_15 = e1 | all_54_15 = e0
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1048) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | (1049) all_54_15 = e1
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (1044), (1049) are inconsistent by
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1213.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | (1050) all_54_15 = e0
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1050) imply:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | (1051) all_10_2 = e0
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1051) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | (1052) all_10_2 = e0
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (1052) imply:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | (1053) ~ (all_52_3 = e0)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (1052) imply:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | (1054) ~ (all_52_7 = e0)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (1052) imply:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | (1055) ~ (all_52_11 = e0)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (994) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1056) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1056) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1057) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) op(e0, e3) = e0
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1053), (1058), (function-axioms) are
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1237.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1059) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1060) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) op(e0, e3) = e0
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1053), (1061), (function-axioms) are
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1237.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1062) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) op(e3, e3) = e2
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (158), (159), (396), (994), (1033),
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053), (1054), (1063), (function-axioms) are
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1143.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | (1064) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1064) gives:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1065) implies:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) op(e1, e1) = e2
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1033), (1066), (function-axioms) are
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (157), (396), (1055), (1067),
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | | #1142.
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.50 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | (1068) all_40_2 = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (1068) imply:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | (1069) all_10_2 = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | SIMP: (1069) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | (1070) all_10_2 = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (1070) imply:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | (1071) all_46_2 = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (995), (1070) imply:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | (1072) all_57_31 = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1070) imply:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | (1073) op(e0, e0) = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | (1074) ~ (all_46_2 = e1)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1071), (1074) imply:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | (1075) $false
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1075) is inconsistent.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | (1076) ( ~ (all_46_0 = e2) & op(e1, e0) = all_46_0 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | $i(all_46_0)) | ( ~ (all_46_1 = e3) & op(e1, e1)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1076) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | (1077) ~ (all_46_0 = e2) & op(e1, e0) = all_46_0 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_0)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1077) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | (1078) ~ (all_46_0 = e2)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | (1079) op(e1, e0) = all_46_0
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | (1080) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (396), (959), (1080),
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | #1140.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | (1081) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1081) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1082) all_56_7 = e1 & op(e1, e2) = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1082) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1083) all_56_7 = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (994) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1084) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1084) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1085) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086) op(e2, e2) = e3
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (396), (1086), (function-axioms) are
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1087) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1087) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1088) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1088) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1089) all_57_30 = e3
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1090) all_57_18 = e0
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) ~ (all_57_31 = e3)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) op(e0, e3) = e0
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1072), (1091) imply:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1093) ~ (e3 = e1)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1094) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (396), (956), (1094),
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1148.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1095) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1095) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1096) all_56_5 = e1 & op(e2, e1) = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1096) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1097) all_56_5 = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1098) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1098) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1099) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (957), (1089), (1099), (function-axioms)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1139.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1100) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1100) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1101) op(e2, e0) = all_57_27
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1102) op(e2, e1) = all_57_23
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103) op(e2, e3) = all_57_16
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1104) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1105) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106) all_56_4 = e1 & op(e3, e1) = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1106) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1107) all_56_4 = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1108) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1097), (1107), (1108) are inconsistent by
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1137.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1109) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) all_56_8 = e0 & op(e1, e1) = e0
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1110) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) op(e1, e1) = e0
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1033), (1111), (function-axioms) are
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) all_56_14 = e0 & op(e0, e1) = e0
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1112) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) op(e0, e1) = e0
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (158), (208), (392), (1073), (1092),
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113), (function-axioms) are inconsistent by
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1135.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1096) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) op(e2, e1) = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (1092) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) all_52_3 = e0
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_46_0, e0, e1, simplifying with (160), (1079)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) all_52_14 = all_46_0
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e0, e2, simplifying with (164), (1101)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) all_57_27 = all_52_13
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23, e1, e2, simplifying with (165), (1102)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) all_57_23 = all_52_9
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23, e1, e2, simplifying with (1102), (1114)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) all_57_23 = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16, e3, e2, simplifying with (167), (1103)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) all_57_16 = all_52_1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1118), (1119) imply:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) all_52_9 = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1121) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) all_52_9 = e1
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1115) imply:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) ~ (all_52_7 = e0)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1123) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) ~ (all_52_7 = e0)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (958), (1115) imply:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) ~ (e1 = e0)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1126) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) all_56_9 = e2 & op(e3, e0) = e2
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1127) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) op(e3, e0) = e2
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1129) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) all_56_0 = e3 & op(e3, e3) = e3
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1130) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) op(e3, e3) = e3
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (963), (1131), (function-axioms) are
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) all_56_2 = e3 & op(e2, e3) = e3
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1132) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) all_56_2 = e3
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1134) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) all_56_9 = e3 & op(e3, e0) = e3
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1135) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) op(e3, e0) = e3
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1128), (1136), (function-axioms) are
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1448.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) all_56_10 = e3 & op(e2, e0) = e3
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1137) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) all_56_10 = e3
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (167), (221), (223),
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (1097), (1133), (1138), (function-axioms)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1206.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (993), (1032), (1091), (1139),
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1134.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1140) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_56_6 = e3 & op(e1, e3) = e3
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1141) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) all_56_6 = e3
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1143) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) all_56_6 = e2 & op(e1, e3) = e2
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1144) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) all_56_6 = e2
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1142), (1145) imply:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) e3 = e2
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1146) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) e3 = e2
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1042), (1147) imply:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1148) all_56_8 = e2
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1083), (1145), (1148) are inconsistent by
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1201.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) all_56_7 = e2 & op(e1, e2) = e2
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1083), (1149) are inconsistent by sub-proof
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1133.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1150) gives:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1151) all_56_8 = e2 & op(e1, e1) = e2
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1151) implies:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1152) op(e1, e1) = e2
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1033), (1152), (function-axioms) are
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1153) all_56_11 = e2 & op(e1, e0) = e2
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1153) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154) op(e1, e0) = e2
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1033), (1076), (1154), (function-axioms) are
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1132.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1155) all_56_12 = e3 & op(e0, e3) = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1155) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156) op(e0, e3) = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1092), (1156), (function-axioms) are
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1131.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1157) all_56_10 = e2 & op(e2, e0) = e2
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1157) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1158) op(e2, e0) = e2
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (394), (1158), (function-axioms) are
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1159) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1159) gives:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1160) all_56_11 = e2 & op(e1, e0) = e2
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1160) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161) op(e1, e0) = e2
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1078), (1079), (1161), (function-axioms) are
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1130.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) all_56_15 = e2 & op(e0, e0) = e2
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1162) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) op(e0, e0) = e2
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1104), (1124), (1163), (function-axioms)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1189.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1164) gives:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) all_56_8 = e1 & op(e1, e1) = e1
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1165) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) op(e1, e1) = e1
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1033), (1166), (function-axioms) are
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1477.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) all_56_14 = e1 & op(e0, e1) = e1
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1167) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) all_56_14 = e1
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (158), (208), (392), (1073), (1092),
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168), (function-axioms) are inconsistent by
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1128.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1169) gives:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (963), (1029), (1170), (function-axioms)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1127.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1171) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) op(e0, e3) = all_57_18
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1173) op(e0, all_57_31) = e0
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1072), (1173) imply:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174) op(e0, e1) = e0
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (158), (208), (392), (1073), (1092),
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174), (function-axioms) are inconsistent by
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1135.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) all_56_10 = e1 & op(e2, e0) = e1
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1175) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) all_56_10 = e1
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1177) gives:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) all_56_9 = e3 & op(e3, e0) = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1178) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) op(e3, e0) = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (394), (1179), (1180),
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1126.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (212),
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073), (1176), (1181), (function-axioms) are
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1430.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) all_56_10 = e3 & op(e2, e0) = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1182) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1183) all_56_10 = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1176), (1183) are inconsistent by sub-proof
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1447.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1184) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (993), (1032), (1091), (1184),
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1134.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1185) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1185) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1186) op(e3, e3) = e2
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (963), (1186), (function-axioms) are
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (396), (993), (1033), (1073), (1187),
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | #1124.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1188) all_56_13 = e1 & op(e0, e2) = e1
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1188) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1189) all_56_13 = e1
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (994) gives:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1190) gives:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1191) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) op(e2, e2) = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (396), (1192), (function-axioms) are
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1193) gives:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1194) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) ~ (all_57_31 = e3)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1072), (1195) imply:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) ~ (e3 = e1)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1197) gives:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) all_56_12 = e3 & op(e0, e3) = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1198) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) all_56_12 = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (206), (208), (1073),
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1189), (1199), (function-axioms) are inconsistent
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1122.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_56_13 = e3 & op(e0, e2) = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1200) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) all_56_13 = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1189), (1201) are inconsistent by sub-proof
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1403.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1202) gives:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_56_14 = e3 & op(e0, e1) = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1031), (1203), (function-axioms) are
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) all_56_15 = e3 & op(e0, e0) = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1204) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) op(e0, e0) = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (993), (1195), (1205), (function-axioms) are
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1231.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1206) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) op(e3, e3) = e2
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (963), (1207), (function-axioms) are
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (396), (993), (1033), (1073), (1208),
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | | #1124.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | (1209) ~ (all_46_1 = e3) & op(e1, e1) = all_46_1 &
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1209) implies:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | (1210) ~ (all_46_1 = e3)
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | (1211) op(e1, e1) = all_46_1
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1033), (1210), (1211), (function-axioms) are
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1121.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | (1212) all_56_14 = e3 & op(e0, e1) = e3
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1031), (1212), (function-axioms) are
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | End of split
% 155.65/22.52 | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | Case 2:
% 155.65/22.52 | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | (1213) all_30_2 = e2
% 155.65/22.52 | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | COMBINE_EQS: (309), (1213) imply:
% 155.65/22.52 | | | | | | | | | | | | (1214) all_10_2 = e2
% 155.65/22.52 | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | COMBINE_EQS: (303), (1214) imply:
% 155.65/22.52 | | | | | | | | | | | | (1215) all_42_2 = e2
% 155.65/22.52 | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | REDUCE: (369), (1214) imply:
% 155.65/22.52 | | | | | | | | | | | | (1216) ~ (all_52_12 = e2)
% 155.65/22.52 | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | REDUCE: (371), (1214) imply:
% 155.65/22.52 | | | | | | | | | | | | (1217) ~ (all_52_14 = e2)
% 155.65/22.52 | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | REDUCE: (45), (1214) imply:
% 155.65/22.52 | | | | | | | | | | | | (1218) op(e0, e0) = e2
% 155.65/22.52 | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | BETA: splitting (215) gives:
% 155.65/22.52 | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | Case 1:
% 155.65/22.52 | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | (1219) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 155.65/22.52 | | | | | | | | | | | | | & op(e1, e2) = e2)
% 155.65/22.52 | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | BETA: splitting (1219) gives:
% 155.65/22.52 | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | Case 1:
% 155.65/22.52 | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | (1220) all_56_6 = e2 & op(e1, e3) = e2
% 155.65/22.52 | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | ALPHA: (1220) implies:
% 155.65/22.52 | | | | | | | | | | | | | | (1221) all_56_6 = e2
% 155.65/22.52 | | | | | | | | | | | | | | (1222) op(e1, e3) = e2
% 155.65/22.52 | | | | | | | | | | | | | |
% 155.65/22.52 | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 155.65/22.52 | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | (1223) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 155.65/22.53 | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 155.65/22.53 | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (390), (963), (1223),
% 155.65/22.53 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.53 | | | | | | | | | | | | | | | #1147.
% 155.65/22.53 | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | Case 2:
% 155.65/22.53 | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | (1224) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 155.65/22.53 | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 155.65/22.53 | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | BETA: splitting (1224) gives:
% 155.65/22.53 | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | (1225) all_56_4 = e2 & op(e3, e1) = e2
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | ALPHA: (1225) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | (1226) all_56_4 = e2
% 155.65/22.53 | | | | | | | | | | | | | | | | (1227) op(e3, e1) = e2
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 155.65/22.53 | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (1222) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | (1228) all_52_2 = e2
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 155.65/22.53 | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (1227) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | (1229) all_52_8 = e2
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | REDUCE: (144), (1228) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | (1230) ~ (all_52_3 = e2)
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | SIMP: (1230) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | (1231) ~ (all_52_3 = e2)
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | REDUCE: (143), (1228) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | (1232) ~ (all_52_6 = e2)
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | REDUCE: (141), (1228) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | (1233) ~ (all_52_14 = e2)
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | REDUCE: (123), (1229) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | (1234) ~ (all_52_9 = e2)
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | REDUCE: (121), (1229) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | (1235) ~ (all_52_11 = e2)
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | SIMP: (1235) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | (1236) ~ (all_52_11 = e2)
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | REDUCE: (120), (1229) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | (1237) ~ (all_52_12 = e2)
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | REDUCE: (362), (1229) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | (1238) ~ (all_4_2 = e2)
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | BETA: splitting (953) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | (1239) ~ (all_28_0 = e2) & op(e1, e3) = all_28_0 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | $i(all_28_0)
% 155.65/22.53 | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | ALPHA: (1239) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | | (1240) ~ (all_28_0 = e2)
% 155.65/22.53 | | | | | | | | | | | | | | | | | (1241) op(e1, e3) = all_28_0
% 155.65/22.53 | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | REF_CLOSE: (1222), (1240), (1241), (function-axioms) are
% 155.65/22.53 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1120.
% 155.65/22.53 | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.53 | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | (1242) ~ (all_28_1 = e0) & op(e1, e1) = all_28_1 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | $i(all_28_1)
% 155.65/22.53 | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | ALPHA: (1242) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | | (1243) ~ (all_28_1 = e0)
% 155.65/22.53 | | | | | | | | | | | | | | | | | (1244) op(e1, e1) = all_28_1
% 155.65/22.53 | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 155.65/22.53 | | | | | | | | | | | | | | | | | all_28_1, e1, e1, simplifying with (36), (1244)
% 155.65/22.53 | | | | | | | | | | | | | | | | | gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | (1245) all_28_1 = all_4_2
% 155.65/22.53 | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | (1246) ~ (all_32_2 = e3)
% 155.65/22.53 | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | REDUCE: (301), (1246) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | (1247) ~ (all_4_2 = e3)
% 155.65/22.53 | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | (1248) all_54_10 = e3
% 155.65/22.53 | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (1247), (1248) are inconsistent by
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | sub-proof #1479.
% 155.65/22.53 | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | (1249) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 155.65/22.53 | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (1249) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | (1250) all_54_10 = e2
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (1250) are inconsistent by sub-proof
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | #1478.
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | (1251) ~ (all_54_10 = e2)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | (1252) all_54_10 = e1 | all_54_10 = e0
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1252) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | (1253) all_54_10 = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1253) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | (1254) all_4_2 = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | SIMP: (1254) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | (1255) all_4_2 = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (1255) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | (1256) ~ (all_52_6 = e1)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (1255) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | (1257) ~ (all_52_9 = e1)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1255) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | (1258) op(e1, e1) = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | (1259) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (396), (959), (1259),
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | #1140.
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | (1260) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1260) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | (1261) all_56_7 = e1 & op(e1, e2) = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1261) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | (1262) op(e1, e2) = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1256), (1262), (function-axioms) are
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | (1263) all_56_13 = e1 & op(e0, e2) = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1263) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | (1264) op(e0, e2) = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | (1265) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (396), (956), (1265),
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | #1148.
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | (1266) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1266) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1267) all_56_5 = e1 & op(e2, e1) = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1257), (1267), (function-axioms) are
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1268) all_56_10 = e1 & op(e2, e0) = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1268) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1269) op(e2, e0) = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (1264) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1270) all_52_7 = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (1269) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1271) all_52_13 = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1271) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1272) ~ (all_52_14 = e1)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1272) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | (1273) ~ (all_52_14 = e1)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) ~ (all_42_2 = e2)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1215), (1274) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) $false
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1275) is inconsistent.
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) ( ~ (all_42_0 = e1) & op(e2, e0) = all_42_0 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)) | ( ~ (all_42_1 = e3) & op(e2, e2)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1276) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) ~ (all_42_0 = e1) & op(e2, e0) = all_42_0 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1277) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) ~ (all_42_0 = e1)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) op(e2, e0) = all_42_0
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1269), (1278), (1279), (function-axioms) are
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1119.
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) ~ (all_42_1 = e3) & op(e2, e2) = all_42_1 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1280) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) ~ (all_42_1 = e3)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) op(e2, e2) = all_42_1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1283) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1284) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) op(e3, e1) = all_57_22
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) op(e3, e3) = all_57_26
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) op(e3, all_57_26) = e3
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) (all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1288) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_57_16 = e2 & op(e2, e3) = e2
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1289) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) op(e2, e3) = e2
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (389), (1290), (function-axioms) are
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1330.
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) ~ (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1291) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) op(e2, e2) = all_57_28
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (396), (1292)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) all_57_28 = e2
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_42_1,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (1282), (1292)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) all_57_28 = all_42_1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22, e1, e3, simplifying with (1227), (1285)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) all_57_22 = e2
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e3, e3, simplifying with (963), (1286)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) all_57_26 = e1
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1293), (1294) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) all_42_1 = e2
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1287), (1296) imply:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) op(e3, e1) = e3
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1227), (1298), (function-axioms) are
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1461.
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1299) implies:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1218), (1264), (1300), (function-axioms) are
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1117.
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1301) gives:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (963), (1227), (1302), (function-axioms) are
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1116.
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1218), (1258), (1264), (1273), (1303),
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1115.
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.53 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | | (1304) all_54_10 = e0
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (1304) are inconsistent by sub-proof
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | | #1332.
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.54 | | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | End of split
% 155.65/22.54 | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | Case 2:
% 155.65/22.54 | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | (1305) all_32_2 = e3
% 155.65/22.54 | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (1305) imply:
% 155.65/22.54 | | | | | | | | | | | | | | | | | | (1306) all_4_2 = e3
% 155.65/22.54 | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | SIMP: (1306) implies:
% 155.65/22.54 | | | | | | | | | | | | | | | | | | (1307) all_4_2 = e3
% 155.65/22.54 | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (1307) imply:
% 155.65/22.54 | | | | | | | | | | | | | | | | | | (1308) all_50_2 = e3
% 155.65/22.54 | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | REDUCE: (360), (1307) imply:
% 155.65/22.54 | | | | | | | | | | | | | | | | | | (1309) ~ (all_52_6 = e3)
% 155.65/22.54 | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | REDUCE: (363), (1307) imply:
% 155.65/22.54 | | | | | | | | | | | | | | | | | | (1310) ~ (all_52_9 = e3)
% 155.65/22.54 | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | REDUCE: (365), (1307) imply:
% 155.65/22.54 | | | | | | | | | | | | | | | | | | (1311) ~ (all_52_11 = e3)
% 155.65/22.54 | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | REDUCE: (367), (1307) imply:
% 155.65/22.54 | | | | | | | | | | | | | | | | | | (1312) ~ (all_52_14 = e3)
% 155.65/22.54 | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | REDUCE: (36), (1307) imply:
% 155.65/22.54 | | | | | | | | | | | | | | | | | | (1313) op(e1, e1) = e3
% 155.65/22.54 | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 155.65/22.54 | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.54 | | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | (1314) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 155.65/22.54 | | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (1314) gives:
% 155.65/22.54 | | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | |
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | | (1315) all_56_4 = e3 & op(e3, e1) = e3
% 155.65/22.54 | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (1315) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | (1316) op(e3, e1) = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1227), (1316), (function-axioms) are
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1461.
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | (1317) all_56_5 = e3 & op(e2, e1) = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (1317) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | (1318) all_56_5 = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | (1319) op(e2, e1) = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (167),
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | (170), (212), (217), (218), (222), (234), (376),
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | (390), (396), (956), (963), (1312), (1313),
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | (1318), (1319), (function-axioms) are inconsistent
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | by sub-proof #1146.
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | End of split
% 156.46/22.54 | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | Case 2:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | (1320) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (1320) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | (1321) all_56_8 = e3 & op(e1, e1) = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (1321) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | (1322) all_56_8 = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | (1323) ~ (all_50_2 = e3)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1308), (1323) imply:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | (1324) $false
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1324) is inconsistent.
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | (1325) ( ~ (all_50_0 = e2) & op(e3, e1) = all_50_0 &
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | $i(all_50_0)) | ( ~ (all_50_1 = e0) & op(e3, e3)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1325) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | (1326) ~ (all_50_0 = e2) & op(e3, e1) = all_50_0 &
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | $i(all_50_0)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1326) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | (1327) ~ (all_50_0 = e2)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | (1328) op(e3, e1) = all_50_0
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_50_0,
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (1227), (1328) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | (1329) all_50_0 = e2
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1327), (1329) imply:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | (1330) $false
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1330) is inconsistent.
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | (1331) ~ (all_50_1 = e0) & op(e3, e3) = all_50_1 &
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1331) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | (1332) ~ (all_50_1 = e0)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | (1333) op(e3, e3) = all_50_1
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_50_1,
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (963), (1333) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | (1334) all_50_1 = e1
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | (1335) ~ (all_42_2 = e2)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1215), (1335) imply:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | (1336) $false
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1336) is inconsistent.
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | (1337) ( ~ (all_42_0 = e1) & op(e2, e0) = all_42_0 &
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)) | ( ~ (all_42_1 = e3) & op(e2, e2)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_54_4 = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (1338) imply:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_52_1 = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1339) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | (1340) all_52_1 = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1340) imply:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | (1341) ~ (all_52_3 = e3)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1341) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | (1342) ~ (all_52_3 = e3)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | (1343) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1343) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) all_56_0 = e0 & op(e3, e3) = e0
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1344) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) op(e3, e3) = e0
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1332), (1333), (1345), (function-axioms) are
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1114.
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) all_56_2 = e0 & op(e2, e3) = e0
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1346) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_56_2 = e0
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_54_12 = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (1348) imply:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_52_3 = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1342), (1349) imply:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) $false
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1350) is inconsistent.
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) ~ (all_54_12 = e3)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1353) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_56_0 = e3 & op(e3, e3) = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1354) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) op(e3, e3) = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (963), (1355), (function-axioms) are
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) all_56_2 = e3 & op(e2, e3) = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1356) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_56_2 = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1347), (1357) are inconsistent by sub-proof
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1113.
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1358) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_56_6 = e3 & op(e1, e3) = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1359) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_56_6 = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1221), (1360) imply:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) e3 = e2
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1361) imply:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) $false
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1362) is inconsistent.
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_56_12 = e3 & op(e0, e3) = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (249), (958), (1231), (1342), (1352),
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363), (function-axioms) are inconsistent by
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1112.
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | (1364) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1364) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) all_56_6 = e0 & op(e1, e3) = e0
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1221), (1365) are inconsistent by sub-proof
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | #1202.
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) all_56_12 = e0 & op(e0, e3) = e0
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1366) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) op(e0, e3) = e0
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_54_12 = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (1368) imply:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_52_3 = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1342), (1369) imply:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) $false
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1370) is inconsistent.
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) ~ (all_54_12 = e3)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1373) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_56_0 = e3 & op(e3, e3) = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1374) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) op(e3, e3) = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (963), (1375), (function-axioms) are
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_56_2 = e3 & op(e2, e3) = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1376) implies:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_56_2 = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) op(e2, e3) = e3
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.46/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1379) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) all_56_12 = e3 & op(e0, e3) = e3
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1380) implies:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) op(e0, e3) = e3
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1367), (1381), (function-axioms) are
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1131.
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) all_56_13 = e3 & op(e0, e2) = e3
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1382) implies:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) all_56_13 = e3
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1384) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) all_56_9 = e3 & op(e3, e0) = e3
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1385) implies:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) all_56_9 = e3
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963), (1377), (1383), (1387), (function-axioms)
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1111.
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1388) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) all_56_14 = e1 & op(e0, e1) = e1
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1389) implies:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) all_56_14 = e1
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (396), (959), (1391),
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1140.
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1392) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) all_56_7 = e1 & op(e1, e2) = e1
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1393) implies:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) op(e1, e2) = e1
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1372) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) all_54_12 = e2
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (1231), (1395) are inconsistent by
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1361.
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) all_54_12 = e1 | all_54_12 = e0
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1397) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_56_6 = e0 & op(e1, e3) = e0
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1221), (1398) are inconsistent by sub-proof
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1202.
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) all_56_7 = e0 & op(e1, e2) = e0
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1399) implies:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) op(e1, e2) = e0
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1394), (1400), (function-axioms) are
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1110.
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1401) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_56_8 = e0 & op(e1, e1) = e0
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1402) implies:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) op(e1, e1) = e0
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1313), (1403), (function-axioms) are
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) all_56_11 = e0 & op(e1, e0) = e0
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1404) implies:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) all_56_11 = e0
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) op(e1, e0) = e0
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1407) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) all_56_9 = e1 & op(e3, e0) = e1
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1386), (1408) are inconsistent by sub-proof
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1109.
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) all_56_10 = e1 & op(e2, e0) = e1
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1409) implies:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) op(e2, e0) = e1
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1396) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) all_54_12 = e1
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (1411) imply:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_52_3 = e1
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (958), (1412) imply:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) $false
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1413) is inconsistent.
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) all_54_12 = e0
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (1414) imply:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) all_52_3 = e0
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1415) imply:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) ~ (all_52_7 = e0)
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1416) implies:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) ~ (all_52_7 = e0)
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1342), (1415) imply:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) ~ (e3 = e0)
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (958), (1415) imply:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) ~ (e1 = e0)
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1420) gives:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1421) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) (all_57_17 = e1 & op(e1, e3) = e1) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (957), (1313), (1422), (function-axioms)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1108.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1423) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1218), (1417), (1424), (function-axioms)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1189.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1425) gives:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1426) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) (all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1427) gives:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_57_22 = e3 & op(e3, e1) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1428) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) op(e3, e1) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e3, e1,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1227), (1429) gives:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) e3 = e2
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1322), (1430) imply:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_56_8 = e2
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (214), (216), (1221),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405), (1431) are inconsistent by sub-proof
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1408.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) ~ (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1432) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) ~ (all_57_26 = e1)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) op(e3, e3) = all_57_26
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (963), (1433), (1434), (function-axioms) are
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1465.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1435) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) op(e0, e0) = all_57_31
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) op(e0, all_57_31) = e0
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1337) gives:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) ~ (all_42_0 = e1) & op(e2, e0) = all_42_0 &
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1438) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) ~ (all_42_0 = e1)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) op(e2, e0) = all_42_0
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1410), (1439), (1440), (function-axioms) are
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1119.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (1218), (1436)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) all_57_31 = e2
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1437), (1441) imply:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) op(e0, e2) = e0
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1417), (1442), (function-axioms) are
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1190.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1443) gives:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_56_11 = e1 & op(e1, e0) = e1
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1444) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) op(e1, e0) = e1
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1406), (1445), (function-axioms) are
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1183.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) all_56_15 = e1 & op(e0, e0) = e1
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1446) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) op(e0, e0) = e1
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (158), (208), (392), (1367), (1390),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447), (function-axioms) are inconsistent by
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1128.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) all_56_13 = e1 & op(e0, e2) = e1
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1383), (1448) are inconsistent by sub-proof
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1186.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) all_56_15 = e1 & op(e0, e0) = e1
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1449) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) op(e0, e0) = e1
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1218), (1450), (function-axioms) are
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1431.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_56_10 = e3 & op(e2, e0) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1451) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) all_56_10 = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (221), (222),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (389), (396), (1377), (1378), (1452),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1205.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (1218), (1312), (1453),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1162.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (1218), (1311), (1454),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1107.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1455) gives:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) all_56_6 = e3 & op(e1, e3) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1456) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_56_6 = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1221), (1457) are inconsistent by sub-proof
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1414.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) all_56_12 = e3 & op(e0, e3) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1458) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) op(e0, e3) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1367), (1459), (function-axioms) are
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1131.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | (1460) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | (1461) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1461) gives:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_56_0 = e3 & op(e3, e3) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1462) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) op(e3, e3) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (963), (1463), (function-axioms) are
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_56_2 = e3 & op(e2, e3) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1464) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_56_2 = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (146), (157), (165),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (217), (229), (233), (235), (269),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (956), (963), (1218), (1221), (1226),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1311), (1313), (1332), (1333), (1460), (1465),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | #1101.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | (1466) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1466) gives:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_56_6 = e3 & op(e1, e3) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1467) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) all_56_6 = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1221), (1468) are inconsistent by sub-proof
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | #1414.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) all_56_12 = e3 & op(e0, e3) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1469) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) all_56_12 = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1471) gives:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) all_56_2 = e3 & op(e2, e3) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1472) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_56_2 = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (146), (157), (165),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (217), (229), (233), (235), (269),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (389), (956), (963), (1218), (1221), (1226),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311), (1313), (1332), (1333), (1460), (1473),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1101.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_56_3 = e3 & op(e2, e2) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1474) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) op(e2, e2) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (396), (1475), (function-axioms) are
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1476) gives:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_56_5 = e3 & op(e2, e1) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1477) implies:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) all_56_5 = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) op(e2, e1) = e3
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (160), (167),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (212), (217), (218), (222), (234), (376),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (390), (396), (956), (963), (1312), (1313),
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478), (1479), (function-axioms) are inconsistent
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1146.
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_56_10 = e3 & op(e2, e0) = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1480) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_56_10 = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1482) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) all_56_9 = e1 & op(e3, e0) = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1483) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_56_9 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1485) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) all_56_0 = e0 & op(e3, e3) = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1486) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) op(e3, e3) = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1332), (1333), (1487), (function-axioms) are
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1114.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_56_1 = e0 & op(e3, e2) = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1488) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) all_56_1 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1490) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) all_56_0 = e3 & op(e3, e3) = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1491) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) op(e3, e3) = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (963), (1492), (function-axioms) are
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) all_56_1 = e3 & op(e3, e2) = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1489), (1493) are inconsistent by sub-proof
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1385.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1494) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) all_56_4 = e3 & op(e3, e1) = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1495) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) op(e3, e1) = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1227), (1496), (function-axioms) are
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1461.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_56_9 = e3 & op(e3, e0) = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1497) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) all_56_9 = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1484), (1498) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) e3 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1499) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) e3 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1481), (1500) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) all_56_10 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (210),
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (1218), (1484), (1501),
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1093.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1502) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) all_56_4 = e0 & op(e3, e1) = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1226), (1503) are inconsistent by sub-proof
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1325.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) all_56_9 = e0 & op(e3, e0) = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1484), (1504) are inconsistent by sub-proof
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1092.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) all_56_10 = e1 & op(e2, e0) = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1505) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) all_56_10 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1481), (1506) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) e3 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1507) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) e3 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1470), (1508) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) all_56_12 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963), (1221), (1509), (function-axioms) are
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1299.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1510) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_56_11 = e1 & op(e1, e0) = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1511) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) op(e1, e0) = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1460) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) all_54_4 = e2
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (389), (1513) are inconsistent by sub-proof
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1369.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) all_54_4 = e1 | all_54_4 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1514) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) all_54_4 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (956), (1515) are inconsistent by sub-proof
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1106.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) all_54_4 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (1516) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) all_52_1 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1517) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) all_52_1 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1518) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) ~ (all_52_9 = e0)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1519) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) ~ (all_52_9 = e0)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1518) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) ~ (all_52_13 = e0)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1521) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) ~ (all_52_13 = e0)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) all_54_6 = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1310), (1523) are inconsistent by
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1393.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1524) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) all_54_6 = e2
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (393), (1525) are inconsistent by sub-proof
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1392.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) all_54_6 = e1 | all_54_6 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1526) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) all_54_6 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1527) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) all_52_9 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1528) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) all_52_9 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1529) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) ~ (all_52_11 = e1)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1530) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) ~ (all_52_11 = e1)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1529) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) ~ (all_52_13 = e1)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1532) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) ~ (all_52_13 = e1)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) all_54_14 = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (1311), (1534) are inconsistent by
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1390.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1535) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) all_54_14 = e2
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (1236), (1536) are inconsistent by
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1091.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) all_54_14 = e1 | all_54_14 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1537) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) all_54_14 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (1531), (1538) are inconsistent by
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1090.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) all_54_14 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (1539) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) all_52_11 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1540) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) all_52_11 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1541) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) ~ (all_52_7 = e0)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) all_54_7 = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (1543) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) all_52_13 = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1544) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) all_52_13 = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1545) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) ~ (all_52_12 = e3)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1545) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) ~ (all_52_14 = e3)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) all_54_3 = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (1546), (1548) are inconsistent by
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1249.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1550) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1551) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) (all_57_17 = e1 & op(e1, e3) = e1) | ( ~
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (1313), (1512), (1552),
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1221.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1553) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1218), (1542), (1554), (function-axioms)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1189.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1555) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (963), (1227), (1556), (function-axioms) are
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1116.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1557) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) op(e0, e0) = all_57_31
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) op(e0, all_57_31) = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1549) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) all_54_3 = e2
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (1216), (1560) are inconsistent by
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1089.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) all_54_3 = e1 | all_54_3 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1561) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) all_54_3 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (961), (1562) are inconsistent by sub-proof
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1088.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) all_54_3 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (1563) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) all_52_12 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1564) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) all_52_12 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1565) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) ~ (all_52_14 = e0)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1566) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) ~ (all_52_14 = e0)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) all_54_11 = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1312), (1568) are inconsistent by
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1371.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1569) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) all_54_11 = e2
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1217), (1570) are inconsistent by
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1368.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) all_54_11 = e1 | all_54_11 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1571) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) all_54_11 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (1572) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) all_52_14 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1573) implies:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) all_52_14 = e1
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1574) imply:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) ~ (all_52_6 = e1)
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) all_54_9 = e3
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (1309), (1576) are inconsistent by
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1254.
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 156.49/22.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1577) gives:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) all_54_9 = e2
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (391), (1578) are inconsistent by sub-proof
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1253.
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) all_54_9 = e1 | all_54_9 = e0
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1579) gives:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) all_54_9 = e1
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (1575), (1580) are inconsistent by
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1087.
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (1218), (1558)
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) all_57_31 = e2
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1559), (1581) imply:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) op(e0, e2) = e0
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1542), (1582), (function-axioms) are
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1190.
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) all_54_11 = e0
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (1567), (1583) are inconsistent by
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1086.
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (394), (1522), (1533), (1584) are
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) all_54_6 = e0
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1520), (1585) are inconsistent by
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1085.
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) all_56_15 = e1 & op(e0, e0) = e1
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1586) implies:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) op(e0, e0) = e1
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1218), (1587), (function-axioms) are
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1431.
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (1588) all_56_14 = e3 & op(e0, e1) = e3
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1311), (1588), (function-axioms) are
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | (1589) all_56_9 = e2 & op(e3, e0) = e2
% 156.49/22.57 | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | ALPHA: (1589) implies:
% 156.49/22.57 | | | | | | | | | | | | | | | | (1590) op(e3, e0) = e2
% 156.49/22.57 | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1216), (1590), (function-axioms) are
% 156.49/22.57 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1157.
% 156.49/22.57 | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | (1591) all_56_7 = e2 & op(e1, e2) = e2
% 156.49/22.57 | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | ALPHA: (1591) implies:
% 156.49/22.57 | | | | | | | | | | | | | | (1592) op(e1, e2) = e2
% 156.49/22.57 | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | REF_CLOSE: (162), (391), (1592), (function-axioms) are
% 156.49/22.57 | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 156.49/22.57 | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | (1593) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 156.49/22.57 | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 156.49/22.57 | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | REF_CLOSE: (36), (160), (375), (1217), (1593),
% 156.49/22.57 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.57 | | | | | | | | | | | | | #1156.
% 156.49/22.57 | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | (1594) all_54_5 = e1 | all_54_5 = e0
% 156.49/22.57 | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | REF_CLOSE: (268), (373), (381), (1594) are inconsistent by
% 156.49/22.57 | | | | | | | | | | sub-proof #1084.
% 156.49/22.57 | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | |
% 156.49/22.57 | | | | | | | | End of split
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | (1595) all_20_2 = e0
% 156.49/22.57 | | | | | | | | (1596) ( ~ (all_20_0 = e3) & op(e0, e2) = all_20_0 &
% 156.49/22.57 | | | | | | | | $i(all_20_0)) | ( ~ (all_20_1 = e1) & op(e0, e0) =
% 156.49/22.57 | | | | | | | | all_20_1 & $i(all_20_1))
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | COMBINE_EQS: (283), (1595) imply:
% 156.49/22.57 | | | | | | | | (1597) all_6_2 = e0
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | SIMP: (1597) implies:
% 156.49/22.57 | | | | | | | | (1598) all_6_2 = e0
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | COMBINE_EQS: (331), (1598) imply:
% 156.49/22.57 | | | | | | | | (1599) all_26_2 = e0
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | REDUCE: (348), (1598) imply:
% 156.49/22.57 | | | | | | | | (1600) ~ (all_52_1 = e0)
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | REDUCE: (351), (1598) imply:
% 156.49/22.57 | | | | | | | | (1601) ~ (all_52_4 = e0)
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | REDUCE: (353), (1598) imply:
% 156.49/22.57 | | | | | | | | (1602) ~ (all_52_6 = e0)
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | REDUCE: (355), (1598) imply:
% 156.49/22.57 | | | | | | | | (1603) ~ (all_52_7 = e0)
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | REDUCE: (357), (1598) imply:
% 156.49/22.57 | | | | | | | | (1604) ~ (all_52_9 = e0)
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | REDUCE: (359), (1598) imply:
% 156.49/22.57 | | | | | | | | (1605) ~ (all_52_13 = e0)
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | REDUCE: (379), (1598) imply:
% 156.49/22.57 | | | | | | | | (1606) ~ (e3 = e0)
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | REDUCE: (373), (1598) imply:
% 156.49/22.57 | | | | | | | | (1607) ~ (e1 = e0)
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | REDUCE: (39), (1598) imply:
% 156.49/22.57 | | | | | | | | (1608) op(e2, e2) = e0
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | BETA: splitting (70) gives:
% 156.49/22.57 | | | | | | | |
% 156.49/22.57 | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | |
% 156.49/22.57 | | | | | | | | | (1609) ~ (all_26_2 = e0)
% 156.49/22.57 | | | | | | | | |
% 156.49/22.57 | | | | | | | | | REDUCE: (1599), (1609) imply:
% 156.49/22.57 | | | | | | | | | (1610) $false
% 156.49/22.57 | | | | | | | | |
% 156.49/22.57 | | | | | | | | | CLOSE: (1610) is inconsistent.
% 156.49/22.57 | | | | | | | | |
% 156.49/22.57 | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | |
% 156.49/22.57 | | | | | | | | | (1611) ( ~ (all_26_0 = e1) & op(e0, e2) = all_26_0 &
% 156.49/22.57 | | | | | | | | | $i(all_26_0)) | ( ~ (all_26_1 = e3) & op(e0, e0) =
% 156.49/22.57 | | | | | | | | | all_26_1 & $i(all_26_1))
% 156.49/22.57 | | | | | | | | |
% 156.49/22.57 | | | | | | | | | BETA: splitting (73) gives:
% 156.49/22.57 | | | | | | | | |
% 156.49/22.57 | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | (1612) ~ (all_28_2 = e1)
% 156.49/22.57 | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | REDUCE: (315), (1612) imply:
% 156.49/22.57 | | | | | | | | | | (1613) ~ (all_14_2 = e1)
% 156.49/22.57 | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | BETA: splitting (76) gives:
% 156.49/22.57 | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | (1614) ~ (all_30_2 = e2)
% 156.49/22.57 | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | REDUCE: (309), (1614) imply:
% 156.49/22.57 | | | | | | | | | | | (1615) ~ (all_10_2 = e2)
% 156.49/22.57 | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | BETA: splitting (79) gives:
% 156.49/22.57 | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | (1616) ~ (all_32_2 = e3)
% 156.49/22.57 | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | REDUCE: (301), (1616) imply:
% 156.49/22.57 | | | | | | | | | | | | (1617) ~ (all_4_2 = e3)
% 156.49/22.57 | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | BETA: splitting (194) gives:
% 156.49/22.57 | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | (1618) all_54_10 = e3
% 156.49/22.57 | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | REF_CLOSE: (335), (1617), (1618) are inconsistent by
% 156.49/22.57 | | | | | | | | | | | | | sub-proof #1479.
% 156.49/22.57 | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | (1619) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 156.49/22.57 | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | BETA: splitting (1619) gives:
% 156.49/22.57 | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | (1620) all_54_10 = e2
% 156.49/22.57 | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (1620) are inconsistent by sub-proof
% 156.49/22.57 | | | | | | | | | | | | | | #1478.
% 156.49/22.57 | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | (1621) ~ (all_54_10 = e2)
% 156.49/22.57 | | | | | | | | | | | | | | (1622) all_54_10 = e1 | all_54_10 = e0
% 156.49/22.57 | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | BETA: splitting (1622) gives:
% 156.49/22.57 | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | (1623) all_54_10 = e1
% 156.49/22.57 | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1623) imply:
% 156.49/22.57 | | | | | | | | | | | | | | | (1624) all_4_2 = e1
% 156.49/22.57 | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | SIMP: (1624) implies:
% 156.49/22.57 | | | | | | | | | | | | | | | (1625) all_4_2 = e1
% 156.49/22.57 | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | REDUCE: (349), (1625) imply:
% 156.49/22.57 | | | | | | | | | | | | | | | (1626) ~ (all_52_2 = e1)
% 156.49/22.57 | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | REDUCE: (360), (1625) imply:
% 156.49/22.57 | | | | | | | | | | | | | | | (1627) ~ (all_52_6 = e1)
% 156.49/22.57 | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | REDUCE: (362), (1625) imply:
% 156.49/22.57 | | | | | | | | | | | | | | | (1628) ~ (all_52_8 = e1)
% 156.49/22.57 | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | REDUCE: (367), (1625) imply:
% 156.49/22.57 | | | | | | | | | | | | | | | (1629) ~ (all_52_14 = e1)
% 156.49/22.57 | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 156.49/22.57 | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | (1630) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 156.49/22.57 | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 156.49/22.57 | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (1626), (1627), (1630),
% 156.49/22.57 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.57 | | | | | | | | | | | | | | | | #1083.
% 156.49/22.57 | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | (1631) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 156.49/22.57 | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 156.49/22.57 | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | BETA: splitting (1631) gives:
% 156.49/22.57 | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | (1632) all_56_8 = e1 & op(e1, e1) = e1
% 156.49/22.57 | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | ALPHA: (1632) implies:
% 156.49/22.57 | | | | | | | | | | | | | | | | | (1633) all_56_8 = e1
% 156.49/22.57 | | | | | | | | | | | | | | | | | (1634) op(e1, e1) = e1
% 156.49/22.57 | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 156.49/22.57 | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | (1635) ~ (all_34_2 = e0)
% 156.49/22.57 | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | REDUCE: (313), (1635) imply:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | (1636) ~ (all_14_2 = e0)
% 156.49/22.57 | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 156.49/22.57 | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | (1637) all_54_0 = e3
% 156.49/22.57 | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (1637) imply:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | (1638) all_14_2 = e3
% 156.49/22.57 | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | SIMP: (1638) implies:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | (1639) all_14_2 = e3
% 156.49/22.57 | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | REDUCE: (345), (1639) imply:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | (1640) ~ (all_52_8 = e3)
% 156.49/22.57 | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | REDUCE: (347), (1639) imply:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | (1641) ~ (all_52_12 = e3)
% 156.49/22.57 | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | REDUCE: (51), (1639) imply:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | (1642) op(e3, e3) = e3
% 156.49/22.57 | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (1643) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1643) gives:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | (1644) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (163), (376), (1626), (1634), (1644),
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | #1473.
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | (1645) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1645) gives:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | (1646) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (375), (1615), (1646),
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | #1470.
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | (1647) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (45), (51), (377), (1608), (1615), (1647),
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | | #1080.
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (1648) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.49/22.57 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1648) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (1649) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1649) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | (1650) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (1640), (1642), (1650),
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | #1285.
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | (1651) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1651) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | (1652) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1652) implies:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | (1653) all_57_31 = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | (1654) all_57_23 = e2
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | (1655) ~ (all_57_28 = e1)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | (1656) ~ (all_57_24 = e0)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | (1657) op(e0, e0) = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | (1658) op(e0, e1) = all_57_24
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | (1659) op(e2, e1) = e2
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | (1660) op(e2, e2) = all_57_28
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | (1661) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1661) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1662) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1662) implies:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1663) op(e3, e1) = all_57_22
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1664) op(e3, e2) = all_57_19
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1665) op(e3, e3) = all_57_26
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1666) op(e3, all_57_19) = e2
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1667) (all_57_17 = e1 & op(e1, e3) = e1) | ( ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1668) (all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1667) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) all_57_17 = e1 & op(e1, e3) = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1669) implies:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) op(e1, e3) = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1626), (1670), (function-axioms) are
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e1,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (45), (1657) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_10_2 = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24, e1, e0, simplifying with (157), (1658)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) all_57_24 = all_52_11
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (1659) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) all_52_9 = e2
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (1608), (1660)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) all_57_28 = e0
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22, e1, e3, simplifying with (169), (1663)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_57_22 = all_52_8
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19, e2, e3, simplifying with (170), (1664)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_57_19 = all_52_4
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e3, e3, simplifying with (1642), (1665)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_57_26 = e3
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1673) imply:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) ~ (all_52_1 = e2)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1673) imply:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) ~ (all_52_8 = e2)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1673) imply:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) ~ (all_52_11 = e2)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1680) implies:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) ~ (all_52_11 = e2)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (1671) imply:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) ~ (all_52_12 = e1)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (1671) imply:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) ~ (e3 = e1)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1684) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_56_0 = e1 & op(e3, e3) = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1685) implies:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) op(e3, e3) = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1642), (1686), (function-axioms) are
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_56_1 = e1 & op(e3, e2) = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1687) implies:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) op(e3, e2) = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (1663), (1664), (1666), (1668),
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678), (1679), (1688), (function-axioms) are
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1078.
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1689) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) all_56_4 = e1 & op(e3, e1) = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1690) implies:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) all_56_4 = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1692) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_56_4 = e2 & op(e3, e1) = e2
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1693) implies:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) op(e3, e1) = e2
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1679), (1694), (function-axioms) are
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_56_5 = e2 & op(e2, e1) = e2
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1695) implies:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_56_5 = e2
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (217), (220), (1633),
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691), (1696) are inconsistent by sub-proof
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1071.
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (157), (375), (1681), (1697),
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1069.
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) all_56_9 = e1 & op(e3, e0) = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1698) implies:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_56_9 = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_54_2 = e3
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (1640), (1700) are inconsistent by
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1068.
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1701) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) all_54_2 = e2
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (1679), (1702) are inconsistent by
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1067.
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) ~ (all_54_2 = e2)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_54_2 = e1 | all_54_2 = e0
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1704) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_54_2 = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (1628), (1705) are inconsistent by
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1066.
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) all_54_2 = e0
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (1706) imply:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_52_8 = e0
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1707) implies:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_52_8 = e0
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1708) imply:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) ~ (all_52_12 = e0)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1709) implies:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) ~ (all_52_12 = e0)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (133), (169), (170), (201), (234), (270),
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377), (1641), (1679), (1682), (1699), (1710),
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1061.
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1711) implies:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1712) op(e2, all_57_23) = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1654), (1712) imply:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1713) op(e2, e2) = e1
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1608), (1713), (function-axioms) are
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | (1714) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1653), (1656), (1657), (1714), (function-axioms)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1342.
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | (1715) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1641), (1715), (function-axioms) are
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1283.
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (1716) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1716) gives:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.58 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (1717) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1608), (1629), (1717), (function-axioms)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1059.
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (1718) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1718) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (1719) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1719) implies:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (1720) ~ (all_57_28 = e0)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (1721) op(e2, e2) = all_57_28
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1608), (1720), (1721), (function-axioms) are
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1060.
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (1722) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1722) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1723) implies:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (1724) op(e1, e0) = e1
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1629), (1724), (function-axioms) are
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1338.
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (1725) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1725) implies:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (1726) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (51), (158), (377), (1603),
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (1608), (1613), (1634), (1642), (1726),
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | #1054.
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.59 | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | (1727) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (377), (1613), (1636), (1727) are
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1229.
% 156.49/22.59 | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.59 | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.59 | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | (1728) all_34_2 = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (1728) imply:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | (1729) all_14_2 = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | SIMP: (1729) implies:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | (1730) all_14_2 = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | REDUCE: (339), (1730) imply:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | (1731) ~ (all_52_2 = e0)
% 156.49/22.59 | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | REDUCE: (345), (1730) imply:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | (1732) ~ (all_52_8 = e0)
% 156.49/22.59 | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | REDUCE: (377), (1730) imply:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | (1733) ~ (e2 = e0)
% 156.49/22.59 | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | REDUCE: (51), (1730) imply:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | (1734) op(e3, e3) = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | (1735) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (1604), (1732), (1735),
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | #1052.
% 156.49/22.59 | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | (1736) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (1736) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | (1737) all_56_8 = e0 & op(e1, e1) = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | ALPHA: (1737) implies:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | (1738) op(e1, e1) = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1634), (1738), (function-axioms) are
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1455.
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | (1739) all_56_14 = e0 & op(e0, e1) = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | ALPHA: (1739) implies:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | (1740) all_56_14 = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | (1741) op(e0, e1) = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | (1742) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (1602), (1731), (1742),
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | #1049.
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | (1743) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1743) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (1744) all_56_8 = e0 & op(e1, e1) = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1744) implies:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (1745) op(e1, e1) = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1634), (1745), (function-axioms) are
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1455.
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (1746) all_56_11 = e0 & op(e1, e0) = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1746) implies:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (1747) all_56_11 = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (1748) op(e1, e0) = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (1741) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (1749) all_52_11 = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (1748) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (1750) all_52_14 = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1749) imply:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (1751) ~ (all_52_3 = e0)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (1750) imply:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (1752) ~ (all_10_2 = e0)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1752) implies:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | (1753) ~ (all_10_2 = e0)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (1754) all_54_15 = e3
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (376), (1754) are inconsistent by sub-proof
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | #1265.
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (1755) ~ (all_54_15 = e3)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | (1756) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (1757) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1757) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1758) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1758) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1759) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1760) implies:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) all_57_30 = e3
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) all_57_16 = e2
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) ~ (all_57_28 = e3)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) op(e1, e1) = e3
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) op(e2, e3) = e2
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1766) gives:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1626), (1761), (1767), (function-axioms)
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1139.
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1768) implies:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) op(e2, e2) = all_57_28
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) op(e2, all_57_16) = e3
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1762), (1770) imply:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) op(e2, e2) = e3
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1763), (1769), (1771), (function-axioms) are
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1048.
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1772) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1773) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) op(e1, all_57_30) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1761), (1774) imply:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) op(e1, e3) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1626), (1775), (function-axioms) are
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1776) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) op(e0, e1) = all_57_24
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) op(e0, e3) = all_57_18
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) op(e0, all_57_24) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) (all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1756) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) all_54_15 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (1615), (1781) are inconsistent by
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) ~ (all_54_15 = e2)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_54_15 = e1 | all_54_15 = e0
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1783) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_54_15 = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (1784) imply:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) all_10_2 = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1785) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) all_10_2 = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (1786) imply:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) ~ (all_52_3 = e1)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (1786) imply:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) ~ (e3 = e1)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1615), (1786) imply:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) ~ (e2 = e1)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1786) imply:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) op(e0, e0) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1791) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) all_56_1 = e1 & op(e3, e2) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1792) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_56_1 = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) op(e3, e2) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (167), (1734), (1765), (1795),
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1046.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1796) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) all_56_6 = e1 & op(e1, e3) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1797) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) op(e1, e3) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1626), (1798), (function-axioms) are
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) all_56_12 = e1 & op(e0, e3) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1799) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) all_56_12 = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1801) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) all_56_9 = e1 & op(e3, e0) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1802) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_56_9 = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (1734), (1793), (1804),
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1044.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1805) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_56_4 = e2 & op(e3, e1) = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1806) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) all_56_4 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (1734), (1794), (1803),
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807), (function-axioms) are inconsistent by
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1042.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) all_56_9 = e2 & op(e3, e0) = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1808) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) op(e3, e0) = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1734), (1780), (1809), (function-axioms) are
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1041.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) all_56_10 = e1 & op(e2, e0) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (211),
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (1747), (1790), (1810),
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1429.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1811) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) all_56_11 = e1 & op(e1, e0) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1812) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) op(e1, e0) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1629), (1813), (function-axioms) are
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1338.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_56_15 = e1 & op(e0, e0) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1814) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) all_56_15 = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1816) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) all_56_12 = e3 & op(e0, e3) = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1800), (1817) are inconsistent by sub-proof
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1307.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) all_56_13 = e3 & op(e0, e2) = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1818) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) all_56_13 = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (1608), (1793), (1820),
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1040.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1821) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) all_56_7 = e2 & op(e1, e2) = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1822) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) all_56_7 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1824) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) all_56_6 = e3 & op(e1, e3) = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1825) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) all_56_6 = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1827) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) all_56_2 = e1 & op(e2, e3) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1828) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) all_56_2 = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) op(e2, e3) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1831) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) all_56_0 = e2 & op(e3, e3) = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1832) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) all_56_0 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) op(e3, e3) = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (1800),
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829), (1830), (1833), (1834), (function-axioms)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1034.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) all_56_2 = e2 & op(e2, e3) = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1829), (1835) are inconsistent by sub-proof
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1033.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1836) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) all_56_6 = e2 & op(e1, e3) = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1837) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) all_56_6 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1826), (1838) imply:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) e3 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1839) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) e3 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1819), (1840) imply:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) all_56_13 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (45), (209), (376), (1740), (1800),
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841), (function-axioms) are inconsistent by
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1029.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) all_56_12 = e2 & op(e0, e3) = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1842) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) all_56_12 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1800), (1843) are inconsistent by sub-proof
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1304.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) all_56_3 = e1 & op(e2, e2) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1844) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) op(e2, e2) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1608), (1845), (function-axioms) are
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1846) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) all_56_5 = e1 & op(e2, e1) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1847) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) all_56_5 = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) op(e2, e1) = e1
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1850) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) all_56_4 = e2 & op(e3, e1) = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1851) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) all_56_4 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1853) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) all_56_4 = e3 & op(e3, e1) = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1854) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) all_56_4 = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1852), (1855) imply:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) e3 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1819), (1856) imply:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) all_56_13 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (45), (209), (376), (1740), (1800),
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857), (function-axioms) are inconsistent by
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1029.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) all_56_5 = e3 & op(e2, e1) = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1858) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) op(e2, e1) = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1849), (1859), (function-axioms) are
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1860) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) all_56_8 = e3 & op(e1, e1) = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1633), (1861) are inconsistent by sub-proof
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1076.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) all_56_14 = e3 & op(e0, e1) = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1862) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) op(e0, e1) = e3
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1777), (1778), (1779), (1787), (1863),
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1028.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) all_56_5 = e2 & op(e2, e1) = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1848), (1864) are inconsistent by sub-proof
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1027.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1865) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) all_56_8 = e2 & op(e1, e1) = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1866) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) op(e1, e1) = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1764), (1867), (function-axioms) are
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) all_56_14 = e2 & op(e0, e1) = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1868) implies:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) all_56_14 = e2
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) all_56_15 = e0 & op(e0, e0) = e0
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1815), (1870) are inconsistent by sub-proof
% 156.49/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1026.
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1871) implies:
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (209), (1790), (1800),
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869), (1872), (function-axioms) are inconsistent
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1024.
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) all_56_10 = e1 & op(e2, e0) = e1
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (211),
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (1747), (1790), (1873),
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1429.
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) all_56_7 = e3 & op(e1, e2) = e3
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1874) implies:
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) all_56_7 = e3
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1823), (1875) imply:
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) e3 = e2
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1819), (1876) imply:
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) all_56_13 = e2
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (45), (209), (376), (1740), (1800),
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877), (function-axioms) are inconsistent by
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1029.
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1878) gives:
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) all_56_8 = e3 & op(e1, e1) = e3
% 156.73/22.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1633), (1879) are inconsistent by sub-proof
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1076.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) all_56_11 = e3 & op(e1, e0) = e3
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1747), (1880) are inconsistent by sub-proof
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1409.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) all_56_13 = e2 & op(e0, e2) = e2
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1881) implies:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) all_56_13 = e2
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (45), (209), (376), (1740), (1800),
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882), (function-axioms) are inconsistent by
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1029.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (1777), (1778), (1779), (1787),
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790), (1883), (function-axioms) are inconsistent
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1023.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) all_56_3 = e1 & op(e2, e2) = e1
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1884) implies:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) op(e2, e2) = e1
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1608), (1885), (function-axioms) are
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1886) gives:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) all_56_7 = e1 & op(e1, e2) = e1
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1887) implies:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) op(e1, e2) = e1
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1627), (1888), (function-axioms) are
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) all_56_13 = e1 & op(e0, e2) = e1
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1889) implies:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_56_13 = e1
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (167), (1734), (1765), (1891),
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1046.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1892) gives:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) all_56_6 = e1 & op(e1, e3) = e1
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1893) implies:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) op(e1, e3) = e1
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (1626), (1894), (function-axioms) are
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_56_12 = e1 & op(e0, e3) = e1
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1895) implies:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) all_56_12 = e1
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1897) gives:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) all_56_12 = e3 & op(e0, e3) = e3
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1896), (1898) are inconsistent by sub-proof
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1307.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) all_56_13 = e3 & op(e0, e2) = e3
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1890), (1899) are inconsistent by sub-proof
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1022.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (1777), (1778), (1779), (1787),
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790), (1900), (function-axioms) are inconsistent
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1023.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) all_54_15 = e0
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (1753), (1901) are inconsistent by
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1263.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1902) implies:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) op(e0, e0) = e3
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (376), (1903), (function-axioms) are
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (163), (376), (1626), (1904),
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | #1474.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1905) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1905) gives:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (375), (1615), (1906),
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | #1470.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (45), (1608), (1615), (1734), (1907),
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | #1021.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (1908) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1908) gives:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1909) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1909) gives:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1910) gives:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1911) implies:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) ~ (all_57_24 = e0)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) op(e0, e1) = all_57_24
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1741), (1912), (1913), (function-axioms) are
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1343.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1914) implies:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) op(e3, e3) = e1
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1734), (1915), (function-axioms) are
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1387.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1916) gives:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1917) implies:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) ~ (all_57_24 = e0)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) op(e0, e1) = all_57_24
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1741), (1918), (1919), (function-axioms) are
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1343.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1734), (1920), (function-axioms) are inconsistent
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1020.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1921) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1921) gives:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1608), (1629), (1922), (function-axioms)
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1059.
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1923) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1924) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) ~ (all_57_28 = e0)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) op(e2, e2) = all_57_28
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1608), (1925), (1926), (function-axioms) are
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1060.
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (51), (158), (159), (160),
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (377), (1603), (1608), (1613), (1629), (1734),
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751), (1927), (function-axioms) are inconsistent
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1018.
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | (1928) all_56_11 = e1 & op(e1, e0) = e1
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | ALPHA: (1928) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | (1929) op(e1, e0) = e1
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1629), (1929), (function-axioms) are
% 156.73/22.62 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1338.
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | (1930) all_54_10 = e0
% 156.73/22.62 | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (1930) are inconsistent by sub-proof
% 156.73/22.62 | | | | | | | | | | | | | | | #1332.
% 156.73/22.62 | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | (1931) all_32_2 = e3
% 156.73/22.62 | | | | | | | | | | | | (1932) ( ~ (all_32_0 = e0) & op(e3, e1) = all_32_0 &
% 156.73/22.62 | | | | | | | | | | | | $i(all_32_0)) | ( ~ (all_32_1 = e2) & op(e3, e3)
% 156.73/22.62 | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 156.73/22.62 | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | COMBINE_EQS: (301), (1931) imply:
% 156.73/22.62 | | | | | | | | | | | | (1933) all_4_2 = e3
% 156.73/22.62 | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | SIMP: (1933) implies:
% 156.73/22.62 | | | | | | | | | | | | (1934) all_4_2 = e3
% 156.73/22.62 | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | COMBINE_EQS: (295), (1934) imply:
% 156.73/22.62 | | | | | | | | | | | | (1935) all_50_2 = e3
% 156.73/22.62 | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | REDUCE: (362), (1934) imply:
% 156.73/22.62 | | | | | | | | | | | | (1936) ~ (all_52_8 = e3)
% 156.73/22.62 | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | REDUCE: (363), (1934) imply:
% 156.73/22.62 | | | | | | | | | | | | (1937) ~ (all_52_9 = e3)
% 156.73/22.62 | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | REDUCE: (365), (1934) imply:
% 156.73/22.62 | | | | | | | | | | | | (1938) ~ (all_52_11 = e3)
% 156.73/22.62 | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | REDUCE: (367), (1934) imply:
% 156.73/22.62 | | | | | | | | | | | | (1939) ~ (all_52_14 = e3)
% 156.73/22.62 | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | REDUCE: (36), (1934) imply:
% 156.73/22.62 | | | | | | | | | | | | (1940) op(e1, e1) = e3
% 156.73/22.62 | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | BETA: splitting (82) gives:
% 156.73/22.62 | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | (1941) ~ (all_34_2 = e0)
% 156.73/22.62 | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | REDUCE: (313), (1941) imply:
% 156.73/22.62 | | | | | | | | | | | | | (1942) ~ (all_14_2 = e0)
% 156.73/22.62 | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | BETA: splitting (204) gives:
% 156.73/22.62 | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | (1943) all_54_0 = e3
% 156.73/22.62 | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | COMBINE_EQS: (279), (1943) imply:
% 156.73/22.62 | | | | | | | | | | | | | | (1944) all_14_2 = e3
% 156.73/22.62 | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | SIMP: (1944) implies:
% 156.73/22.62 | | | | | | | | | | | | | | (1945) all_14_2 = e3
% 156.73/22.62 | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | REDUCE: (51), (1945) imply:
% 156.73/22.62 | | | | | | | | | | | | | | (1946) op(e3, e3) = e3
% 156.73/22.62 | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 156.73/22.62 | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | (1947) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 156.73/22.62 | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 156.73/22.62 | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | BETA: splitting (1947) gives:
% 156.73/22.62 | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | (1948) all_56_2 = e3 & op(e2, e3) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | ALPHA: (1948) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | (1949) all_56_2 = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | (1950) op(e2, e3) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | (1951) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | BETA: splitting (1951) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1952) all_56_9 = e3 & op(e3, e0) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | ALPHA: (1952) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1953) all_56_9 = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1954) op(e3, e0) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (226), (227),
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (228), (230), (232), (234), (1608), (1932),
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1946), (1953), (1954), (function-axioms) are
% 156.73/22.62 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #997.
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1955) all_56_10 = e3 & op(e2, e0) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | ALPHA: (1955) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1956) all_56_10 = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (1608),
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1949), (1950), (1956), (function-axioms) are
% 156.73/22.62 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #993.
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | (1957) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (376), (1939), (1957),
% 156.73/22.62 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.62 | | | | | | | | | | | | | | | | | #1292.
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | (1958) all_56_3 = e3 & op(e2, e2) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | ALPHA: (1958) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | (1959) op(e2, e2) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1608), (1959), (function-axioms) are
% 156.73/22.62 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | (1960) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 156.73/22.62 | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 156.73/22.62 | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | BETA: splitting (1960) gives:
% 156.73/22.62 | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | (1961) all_56_5 = e3 & op(e2, e1) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | ALPHA: (1961) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | (1962) all_56_5 = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | (1963) op(e2, e1) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | (1964) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | BETA: splitting (1964) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1965) all_56_9 = e3 & op(e3, e0) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | ALPHA: (1965) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1966) all_56_9 = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1967) op(e3, e0) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (226), (227),
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (228), (230), (232), (234), (1608), (1932),
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1946), (1966), (1967), (function-axioms) are
% 156.73/22.62 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #997.
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1968) all_56_10 = e3 & op(e2, e0) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | ALPHA: (1968) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1969) all_56_10 = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | (1970) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (1970) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | (1971) all_56_2 = e1 & op(e2, e3) = e1
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | ALPHA: (1971) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | (1972) all_56_2 = e1
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | (1973) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (1608), (1972), (1973),
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | #992.
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | (1974) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1974) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | (1975) all_56_5 = e2 & op(e2, e1) = e2
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1962), (1975) are inconsistent by sub-proof
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | #991.
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | (1976) all_56_10 = e2 & op(e2, e0) = e2
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1969), (1976) are inconsistent by sub-proof
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | #1272.
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | (1977) all_56_3 = e1 & op(e2, e2) = e1
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | ALPHA: (1977) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | (1978) op(e2, e2) = e1
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1608), (1978), (function-axioms) are
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | (1979) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1963), (1969), (1979), (function-axioms) are
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1234.
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | (1980) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (376), (1939), (1980),
% 156.73/22.62 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.62 | | | | | | | | | | | | | | | | | #1292.
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | (1981) all_56_10 = e3 & op(e2, e0) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | ALPHA: (1981) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | (1982) all_56_10 = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | (1983) op(e2, e0) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | (1984) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | BETA: splitting (1984) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1985) all_56_12 = e3 & op(e0, e3) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | ALPHA: (1985) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1986) all_56_12 = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1987) op(e0, e3) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (167), (222),
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (223), (224), (229), (231), (233), (377), (1608),
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1946), (1982), (1986), (1987), (function-axioms)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #977.
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1988) all_56_13 = e3 & op(e0, e2) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | ALPHA: (1988) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1989) op(e0, e2) = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 156.73/22.62 | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (1989) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1990) all_52_7 = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 156.73/22.62 | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (1983) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1991) all_52_13 = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | REDUCE: (135), (1990) imply:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1992) ~ (all_52_4 = e3)
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | REDUCE: (110), (1991) imply:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1993) ~ (all_52_14 = e3)
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | REDUCE: (370), (1991) imply:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | (1994) ~ (all_10_2 = e3)
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | BETA: splitting (1596) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | (1995) ~ (all_20_0 = e3) & op(e0, e2) = all_20_0 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | $i(all_20_0)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | ALPHA: (1995) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | (1996) ~ (all_20_0 = e3)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | (1997) op(e0, e2) = all_20_0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_20_0,
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (1989), (1997) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | (1998) all_20_0 = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | REDUCE: (1996), (1998) imply:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | (1999) $false
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | CLOSE: (1999) is inconsistent.
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | (2000) ~ (all_20_1 = e1) & op(e0, e0) = all_20_1 &
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | ALPHA: (2000) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | (2001) ~ (all_20_1 = e1)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | (2002) op(e0, e0) = all_20_1
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2,
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | all_20_1, e0, e0, simplifying with (45), (2002)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | (2003) all_20_1 = all_10_2
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | REDUCE: (2001), (2003) imply:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | (2004) ~ (all_10_2 = e1)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | (2005) all_54_15 = e3
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (376), (2005) are inconsistent by sub-proof
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | #1265.
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | (2006) ~ (all_54_15 = e3)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | (2007) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2007) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | (2008) all_54_15 = e2
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (1615), (2008) are inconsistent by
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | (2009) ~ (all_54_15 = e2)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | (2010) all_54_15 = e1 | all_54_15 = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2010) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | (2011) all_54_15 = e1
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (2004), (2011) are inconsistent by
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1213.
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | (2012) all_54_15 = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2012) imply:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | (2013) all_10_2 = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2013) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | (2014) all_10_2 = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (2014) imply:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | (2015) ~ (all_52_3 = e0)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (2014) imply:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | (2016) ~ (all_52_11 = e0)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1615), (2014) imply:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | (2017) ~ (e2 = e0)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (2014) imply:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | (2018) op(e0, e0) = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | (2019) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2019) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | (2020) all_56_4 = e0 & op(e3, e1) = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2020) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | (2021) all_56_4 = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | (2022) op(e3, e1) = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | (2023) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2023) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_56_6 = e0 & op(e1, e3) = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (51), (141), (144), (158),
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (163), (169), (170), (238), (239),
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (377), (1603), (1608), (1613), (1932), (1936),
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1939), (1940), (1946), (1983), (1992), (2018),
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (2022), (2024), (function-axioms) are inconsistent
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #971.
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_56_7 = e0 & op(e1, e2) = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2025) implies:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) op(e1, e2) = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1602), (2026), (function-axioms) are
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1050.
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | (2027) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2027) gives:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_56_8 = e0 & op(e1, e1) = e0
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.62 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2028) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) op(e1, e1) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1940), (2029), (function-axioms) are
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) all_56_11 = e0 & op(e1, e0) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2030) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) all_56_11 = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2032) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) all_56_0 = e0 & op(e3, e3) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2033) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) op(e3, e3) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2035) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_56_9 = e2 & op(e3, e0) = e2
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2036) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_56_9 = e2
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) op(e3, e0) = e2
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (2021),
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034), (2037), (2038), (function-axioms) are
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1372.
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) all_56_10 = e2 & op(e2, e0) = e2
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1982), (2039) are inconsistent by sub-proof
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1272.
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2040) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_56_11 = e2 & op(e1, e0) = e2
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2041) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_56_11 = e2
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2031), (2042) are inconsistent by sub-proof
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1396.
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) all_56_15 = e2 & op(e0, e0) = e2
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2043) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) op(e0, e0) = e2
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (1615), (2044), (function-axioms) are
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1471.
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) all_56_2 = e0 & op(e2, e3) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2045) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) all_56_2 = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) op(e2, e3) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (1608), (1982), (2046), (2047),
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #982.
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2048) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_56_6 = e0 & op(e1, e3) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (9), (51), (141), (144), (158),
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (163), (169), (170), (238), (239),
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (377), (1603), (1608), (1613), (1932), (1936),
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939), (1940), (1946), (1983), (1992), (2018),
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022), (2049), (function-axioms) are inconsistent
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #971.
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_56_12 = e0 & op(e0, e3) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2050) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) op(e0, e3) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2015), (2051), (function-axioms) are
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1237.
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | (2052) all_56_5 = e0 & op(e2, e1) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2052) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | (2053) op(e2, e1) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1604), (2053), (function-axioms) are
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1105.
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | (2054) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (1940), (2016), (2054),
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | #970.
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | (2055) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (376), (1938), (2055),
% 156.73/22.63 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.63 | | | | | | | | | | | | | | | | | #969.
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | (2056) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 156.73/22.63 | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | REF_CLOSE: (279), (377), (1613), (1942), (2056) are
% 156.73/22.63 | | | | | | | | | | | | | | inconsistent by sub-proof #1229.
% 156.73/22.63 | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | (2057) all_34_2 = e0
% 156.73/22.63 | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | COMBINE_EQS: (313), (2057) imply:
% 156.73/22.63 | | | | | | | | | | | | | (2058) all_14_2 = e0
% 156.73/22.63 | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | SIMP: (2058) implies:
% 156.73/22.63 | | | | | | | | | | | | | (2059) all_14_2 = e0
% 156.73/22.63 | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | REDUCE: (339), (2059) imply:
% 156.73/22.63 | | | | | | | | | | | | | (2060) ~ (all_52_2 = e0)
% 156.73/22.63 | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | REDUCE: (345), (2059) imply:
% 156.73/22.63 | | | | | | | | | | | | | (2061) ~ (all_52_8 = e0)
% 156.73/22.63 | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | REDUCE: (377), (2059) imply:
% 156.73/22.63 | | | | | | | | | | | | | (2062) ~ (e2 = e0)
% 156.73/22.63 | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | REDUCE: (51), (2059) imply:
% 156.73/22.63 | | | | | | | | | | | | | (2063) op(e3, e3) = e0
% 156.73/22.63 | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | BETA: splitting (213) gives:
% 156.73/22.63 | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | (2064) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 156.73/22.63 | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 156.73/22.63 | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (1602), (2060), (2064),
% 156.73/22.63 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.63 | | | | | | | | | | | | | | #1049.
% 156.73/22.63 | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | (2065) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 156.73/22.63 | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 156.73/22.63 | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | BETA: splitting (2065) gives:
% 156.73/22.63 | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | (2066) all_56_8 = e0 & op(e1, e1) = e0
% 156.73/22.63 | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | ALPHA: (2066) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | (2067) op(e1, e1) = e0
% 156.73/22.63 | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | REF_CLOSE: (7), (1940), (2067), (function-axioms) are
% 156.73/22.63 | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 156.73/22.63 | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | (2068) all_56_11 = e0 & op(e1, e0) = e0
% 156.73/22.63 | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | ALPHA: (2068) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | (2069) op(e1, e0) = e0
% 156.73/22.63 | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 156.73/22.63 | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | (2070) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 156.73/22.63 | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | BETA: splitting (2070) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | (2071) all_56_4 = e0 & op(e3, e1) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | ALPHA: (2071) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | (2072) op(e3, e1) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | (2073) ~ (all_50_2 = e3)
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | REDUCE: (1935), (2073) imply:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | (2074) $false
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | CLOSE: (2074) is inconsistent.
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | (2075) ( ~ (all_50_0 = e2) & op(e3, e1) = all_50_0 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | $i(all_50_0)) | ( ~ (all_50_1 = e0) & op(e3, e3)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2061), (2063), (2072), (2075),
% 156.73/22.63 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.63 | | | | | | | | | | | | | | | | | | #968.
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | (2076) all_56_5 = e0 & op(e2, e1) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | ALPHA: (2076) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | (2077) op(e2, e1) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1604), (2077), (function-axioms) are
% 156.73/22.63 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1105.
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | End of split
% 156.73/22.63 | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | (2078) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 156.73/22.63 | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 156.73/22.63 | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | BETA: splitting (2078) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | (2079) all_56_8 = e0 & op(e1, e1) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | ALPHA: (2079) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | (2080) op(e1, e1) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1940), (2080), (function-axioms) are
% 156.73/22.63 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | (2081) all_56_14 = e0 & op(e0, e1) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | ALPHA: (2081) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | (2082) op(e0, e1) = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | (2083) ~ (all_50_2 = e3)
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | REDUCE: (1935), (2083) imply:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | (2084) $false
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | CLOSE: (2084) is inconsistent.
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | (2085) ( ~ (all_50_0 = e2) & op(e3, e1) = all_50_0 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | $i(all_50_0)) | ( ~ (all_50_1 = e0) & op(e3, e3)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | BETA: splitting (2085) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2086) ~ (all_50_0 = e2) & op(e3, e1) = all_50_0 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | $i(all_50_0)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | ALPHA: (2086) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2087) ~ (all_50_0 = e2)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2088) op(e3, e1) = all_50_0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (2082) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2089) all_52_11 = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (2069) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2090) all_52_14 = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | all_50_0, e1, e3, simplifying with (169), (2088)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2091) all_52_8 = all_50_0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (2091) imply:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2092) all_54_2 = all_50_0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | REDUCE: (139), (2089) imply:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2093) ~ (all_52_3 = e0)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2091) imply:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2094) ~ (all_52_9 = all_50_0)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | SIMP: (2094) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2095) ~ (all_52_9 = all_50_0)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | REDUCE: (1936), (2091) imply:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2096) ~ (all_50_0 = e3)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | REDUCE: (2061), (2091) imply:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2097) ~ (all_50_0 = e0)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2090) imply:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2098) ~ (all_52_12 = e0)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | REDUCE: (371), (2090) imply:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2099) ~ (all_10_2 = e0)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | SIMP: (2099) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | (2100) ~ (all_10_2 = e0)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | (2101) all_54_2 = e3
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2092), (2101) imply:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | (2102) all_50_0 = e3
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (2096), (2102) imply:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | (2103) $false
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | CLOSE: (2103) is inconsistent.
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | (2104) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | (2105) all_54_15 = e3
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (376), (2105) are inconsistent by sub-proof
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | #1265.
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | (2106) ~ (all_54_15 = e3)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | (2107) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2107) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | (2108) all_54_15 = e2
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (1615), (2108) are inconsistent by
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | (2109) ~ (all_54_15 = e2)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | (2110) all_54_15 = e1 | all_54_15 = e0
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | (2111) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2111) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | (2112) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2112) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | (2113) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2113) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2114) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_57_30 = e3
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) all_57_16 = e2
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) ~ (all_57_28 = e3)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2118) gives:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2119) implies:
% 156.73/22.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) (all_57_17 = e1 & op(e1, e3) = e1) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (145), (146), (149), (163), (197), (198),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (246), (260), (261), (269), (370), (1600),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604), (1605), (1937), (1940), (2087), (2092),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095), (2097), (2100), (2104), (2110), (2120),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #962.
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2121) implies:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) op(e2, e2) = all_57_28
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) op(e2, all_57_16) = e3
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2116), (2123) imply:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) op(e2, e2) = e3
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2117), (2122), (2124), (function-axioms) are
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1048.
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2125) gives:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2126) implies:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) op(e1, all_57_30) = e1
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2115), (2127) imply:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) op(e1, e3) = e1
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (145), (146), (149), (163), (197), (198),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (246), (260), (261), (269), (370), (1600),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604), (1605), (1937), (2087), (2092), (2095),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097), (2100), (2104), (2110), (2128),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #963.
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2129) implies:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) op(e0, e0) = all_57_31
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) op(e0, all_57_31) = e0
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) (all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (113), (117), (118), (157), (168), (197),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (201), (246), (260), (261), (270), (369),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (1605), (1937), (2063), (2087), (2092),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095), (2097), (2098), (2100), (2104), (2110),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130), (2131), (2132), (function-axioms) are
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #956.
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2133) implies:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) op(e0, e0) = e3
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (376), (2134), (function-axioms) are
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | (2135) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (376), (1940), (2135), (function-axioms) are
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | (2136) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2136) gives:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | (2137) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (1615), (1940), (2137),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | #1286.
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | (2138) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (45), (1608), (1615), (2063), (2138),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | #1021.
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (2139) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2139) gives:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | (2140) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2140) gives:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | (2141) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (169), (1936), (2063), (2141),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | #1226.
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | (2142) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2142) gives:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2143) implies:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_57_23 = e2
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) ~ (all_57_24 = e0)
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) op(e0, e0) = e1
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2147) gives:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2148) implies:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) (all_57_17 = e1 & op(e1, e3) = e1) | ( ~
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (145), (146), (149), (163), (197), (198),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (246), (260), (261), (269), (370), (1600),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604), (1605), (1937), (1940), (2087), (2092),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095), (2097), (2100), (2104), (2110), (2149),
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #962.
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2150) implies:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) op(e2, all_57_23) = e1
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2144), (2151) imply:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) op(e2, e2) = e1
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1608), (2152), (function-axioms) are
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2153) gives:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2154) implies:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) (all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2145), (2146), (2155), (function-axioms) are
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1344.
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2156) implies:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) op(e0, e0) = all_57_31
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) op(e0, all_57_31) = e0
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) (all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (113), (117), (118), (157), (168), (197),
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (198), (201), (246), (260), (261), (270), (369),
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (1605), (1937), (2063), (2087), (2092),
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095), (2097), (2098), (2100), (2104), (2110),
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157), (2158), (2159), (function-axioms) are
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #956.
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2063), (2160), (function-axioms) are inconsistent
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1020.
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | (2161) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2161) gives:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2162) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2162) gives:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2163) implies:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) ~ (all_57_28 = e0)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) op(e2, e2) = all_57_28
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1608), (2164), (2165), (function-axioms) are
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1060.
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2166) implies:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) op(e1, e0) = e1
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2069), (2167), (function-axioms) are
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1183.
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2168) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2168) gives:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2169) implies:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) ~ (all_57_28 = e0)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) op(e2, e2) = all_57_28
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1608), (2170), (2171), (function-axioms) are
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1060.
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2172) gives:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2173) implies:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) op(e1, e0) = e1
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2069), (2174), (function-axioms) are
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1183.
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2175) implies:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (51), (158), (159), (377),
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603), (1608), (1613), (2063), (2093), (2176),
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1019.
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | (2177) ~ (all_50_1 = e0) & op(e3, e3) = all_50_1 &
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | ALPHA: (2177) implies:
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | (2178) ~ (all_50_1 = e0)
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | (2179) op(e3, e3) = all_50_1
% 156.73/22.65 | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2063), (2178), (2179), (function-axioms) are
% 156.73/22.65 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1114.
% 156.73/22.65 | | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | End of split
% 156.73/22.65 | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | Case 2:
% 156.73/22.65 | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | (2180) all_30_2 = e2
% 156.73/22.65 | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | COMBINE_EQS: (309), (2180) imply:
% 156.73/22.65 | | | | | | | | | | | (2181) all_10_2 = e2
% 156.73/22.65 | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | SIMP: (2181) implies:
% 156.73/22.65 | | | | | | | | | | | (2182) all_10_2 = e2
% 156.73/22.65 | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | REDUCE: (350), (2182) imply:
% 156.73/22.65 | | | | | | | | | | | (2183) ~ (all_52_3 = e2)
% 156.73/22.65 | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | REDUCE: (361), (2182) imply:
% 156.73/22.65 | | | | | | | | | | | (2184) ~ (all_52_7 = e2)
% 156.73/22.65 | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | REDUCE: (368), (2182) imply:
% 156.73/22.65 | | | | | | | | | | | (2185) ~ (all_52_11 = e2)
% 156.73/22.65 | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | REDUCE: (369), (2182) imply:
% 156.73/22.65 | | | | | | | | | | | (2186) ~ (all_52_12 = e2)
% 156.73/22.65 | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | REDUCE: (370), (2182) imply:
% 156.73/22.65 | | | | | | | | | | | (2187) ~ (all_52_13 = e2)
% 156.73/22.65 | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | REDUCE: (371), (2182) imply:
% 156.73/22.65 | | | | | | | | | | | (2188) ~ (all_52_14 = e2)
% 156.73/22.65 | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | REDUCE: (376), (2182) imply:
% 156.73/22.65 | | | | | | | | | | | (2189) ~ (e3 = e2)
% 156.73/22.65 | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | BETA: splitting (208) gives:
% 156.73/22.65 | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | Case 1:
% 156.73/22.65 | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | (2190) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 156.73/22.65 | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 156.73/22.65 | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | | REF_CLOSE: (158), (159), (2183), (2184), (2190),
% 156.73/22.65 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.65 | | | | | | | | | | | | #1211.
% 156.73/22.65 | | | | | | | | | | | |
% 156.73/22.65 | | | | | | | | | | | Case 2:
% 156.73/22.65 | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | (2191) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 156.73/22.66 | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 156.73/22.66 | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | BETA: splitting (2191) gives:
% 156.73/22.66 | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | Case 1:
% 156.73/22.66 | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | (2192) all_56_14 = e2 & op(e0, e1) = e2
% 156.73/22.66 | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | REF_CLOSE: (157), (2185), (2192), (function-axioms) are
% 156.73/22.66 | | | | | | | | | | | | | inconsistent by sub-proof #1070.
% 156.73/22.66 | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | Case 2:
% 156.73/22.66 | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | (2193) all_56_15 = e2 & op(e0, e0) = e2
% 156.73/22.66 | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | ALPHA: (2193) implies:
% 156.73/22.66 | | | | | | | | | | | | | (2194) all_56_15 = e2
% 156.73/22.66 | | | | | | | | | | | | | (2195) op(e0, e0) = e2
% 156.73/22.66 | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | BETA: splitting (79) gives:
% 156.73/22.66 | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | Case 1:
% 156.73/22.66 | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | (2196) ~ (all_32_2 = e3)
% 156.73/22.66 | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | REDUCE: (301), (2196) imply:
% 156.73/22.66 | | | | | | | | | | | | | | (2197) ~ (all_4_2 = e3)
% 156.73/22.66 | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 156.73/22.66 | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | Case 1:
% 156.73/22.66 | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | (2198) all_54_10 = e3
% 156.73/22.66 | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | REF_CLOSE: (335), (2197), (2198) are inconsistent by
% 156.73/22.66 | | | | | | | | | | | | | | | sub-proof #1479.
% 156.73/22.66 | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | Case 2:
% 156.73/22.66 | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | (2199) ~ (all_54_10 = e3)
% 156.73/22.66 | | | | | | | | | | | | | | | (2200) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 156.73/22.66 | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | BETA: splitting (2200) gives:
% 156.73/22.66 | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | Case 1:
% 156.73/22.66 | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | (2201) all_54_10 = e2
% 156.73/22.66 | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (2201) are inconsistent by sub-proof
% 156.73/22.66 | | | | | | | | | | | | | | | | #1478.
% 156.73/22.66 | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | Case 2:
% 156.73/22.66 | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | (2202) ~ (all_54_10 = e2)
% 156.73/22.66 | | | | | | | | | | | | | | | | (2203) all_54_10 = e1 | all_54_10 = e0
% 156.73/22.66 | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | BETA: splitting (2203) gives:
% 156.73/22.66 | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.66 | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | (2204) all_54_10 = e1
% 156.73/22.66 | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (2204) imply:
% 156.73/22.66 | | | | | | | | | | | | | | | | | (2205) all_4_2 = e1
% 156.73/22.66 | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | SIMP: (2205) implies:
% 156.73/22.66 | | | | | | | | | | | | | | | | | (2206) all_4_2 = e1
% 156.73/22.66 | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | REDUCE: (349), (2206) imply:
% 156.73/22.66 | | | | | | | | | | | | | | | | | (2207) ~ (all_52_2 = e1)
% 156.73/22.66 | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | REDUCE: (360), (2206) imply:
% 156.73/22.66 | | | | | | | | | | | | | | | | | (2208) ~ (all_52_6 = e1)
% 156.73/22.66 | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | REDUCE: (363), (2206) imply:
% 156.73/22.66 | | | | | | | | | | | | | | | | | (2209) ~ (all_52_9 = e1)
% 156.73/22.66 | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | REDUCE: (367), (2206) imply:
% 156.73/22.66 | | | | | | | | | | | | | | | | | (2210) ~ (all_52_14 = e1)
% 156.73/22.66 | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | REDUCE: (2197), (2206) imply:
% 156.73/22.66 | | | | | | | | | | | | | | | | | (2211) ~ (e3 = e1)
% 156.73/22.66 | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | REDUCE: (375), (2206) imply:
% 156.73/22.66 | | | | | | | | | | | | | | | | | (2212) ~ (e2 = e1)
% 156.73/22.66 | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | REDUCE: (36), (2206) imply:
% 156.73/22.66 | | | | | | | | | | | | | | | | | (2213) op(e1, e1) = e1
% 156.73/22.66 | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 156.73/22.66 | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.66 | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | (2214) ~ (all_34_2 = e0)
% 156.73/22.66 | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | REDUCE: (313), (2214) imply:
% 156.73/22.66 | | | | | | | | | | | | | | | | | | (2215) ~ (all_14_2 = e0)
% 156.73/22.66 | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 156.73/22.66 | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.66 | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | (2216) all_54_0 = e3
% 156.73/22.66 | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (2216) imply:
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | (2217) all_14_2 = e3
% 156.73/22.66 | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | REDUCE: (343), (2217) imply:
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | (2218) ~ (all_52_4 = e3)
% 156.73/22.66 | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | REDUCE: (347), (2217) imply:
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | (2219) ~ (all_52_12 = e3)
% 156.73/22.66 | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2217) imply:
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | (2220) op(e3, e3) = e3
% 156.73/22.66 | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 156.73/22.66 | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | (2221) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2221) gives:
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | (2222) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2222) gives:
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | (2223) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (2195), (2213), (2223),
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | #1172.
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | (2224) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (2195), (2207), (2224),
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | | #955.
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | |
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.73/22.66 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (2225) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2225) gives:
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | (2226) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (375), (2218), (2226),
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | #954.
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | (2227) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2227) gives:
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | (2228) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2228) implies:
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | (2229) op(e3, e3) = e2
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (377), (2229), (function-axioms) are
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | (2230) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (1608), (2208), (2230),
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | | #953.
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (2231) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2231) gives:
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (2232) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (168), (2195), (2219), (2220), (2232),
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | #951.
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (2233) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2233) gives:
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.66 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (2234) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (2187), (2210), (2234),
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | #1337.
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (2235) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2235) gives:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (2236) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2236) implies:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (2237) op(e2, e0) = e2
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2187), (2237), (function-axioms) are
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (2238) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2238) gives:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | (2239) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2239) implies:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | (2240) op(e1, e0) = e1
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2210), (2240), (function-axioms) are
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1338.
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | (2241) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2241) implies:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | (2242) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (51), (158), (377), (1603),
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | (1608), (1613), (2213), (2220), (2242),
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | | #1054.
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.67 | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | (2243) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 156.97/22.67 | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (377), (1613), (2215), (2243) are
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1229.
% 156.97/22.67 | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.67 | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.67 | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | (2244) all_34_2 = e0
% 156.97/22.67 | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (2244) imply:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | (2245) all_14_2 = e0
% 156.97/22.67 | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | REDUCE: (339), (2245) imply:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | (2246) ~ (all_52_2 = e0)
% 156.97/22.67 | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | REDUCE: (341), (2245) imply:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | (2247) ~ (all_52_3 = e0)
% 156.97/22.67 | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | REDUCE: (345), (2245) imply:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | (2248) ~ (all_52_8 = e0)
% 156.97/22.67 | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | REDUCE: (377), (2245) imply:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | (2249) ~ (e2 = e0)
% 156.97/22.67 | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | REDUCE: (51), (2245) imply:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | (2250) op(e3, e3) = e0
% 156.97/22.67 | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 156.97/22.67 | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | (2251) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 156.97/22.67 | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (2251) gives:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | (2252) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2252) gives:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | (2253) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (2195), (2213), (2253),
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | #1172.
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | (2254) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (2195), (2207), (2254),
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | #955.
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | (2255) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2255) gives:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | (2256) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2256) gives:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (2257) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2257) implies:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (2258) op(e1, e1) = e2
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (2258), (function-axioms) are
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (2259) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2259) implies:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (2260) all_57_31 = e2
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (2261) all_57_19 = e3
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (2262) ~ (all_57_26 = e2)
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (2263) ~ (all_57_21 = e0)
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | (2264) op(e3, e2) = e3
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (2265) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2260), (2261), (2262), (2263), (2265),
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | #1167.
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | (2266) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 156.97/22.67 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2266) gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | (2267) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2267) implies:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | (2268) op(e1, e0) = all_57_29
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | (2269) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (1604), (2248), (2269),
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | #1052.
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | (2270) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2270) gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) all_56_8 = e0 & op(e1, e1) = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2271) implies:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) op(e1, e1) = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2213), (2272), (function-axioms) are
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1455.
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) all_56_14 = e0 & op(e0, e1) = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2273) implies:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) op(e0, e1) = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (1602), (2246), (2275),
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1049.
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2276) gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) all_56_8 = e0 & op(e1, e1) = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2277) implies:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) op(e1, e1) = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2213), (2278), (function-axioms) are
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1455.
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) all_56_11 = e0 & op(e1, e0) = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2279) implies:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) op(e1, e0) = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (2274) gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) all_52_11 = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29, e0, e1, simplifying with (160), (2268)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) all_57_29 = all_52_14
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29, e0, e1, simplifying with (2268), (2280)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) all_57_29 = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (2264) gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) all_52_4 = e3
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2282), (2283) imply:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_52_14 = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2285) implies:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) all_52_14 = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2284) imply:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) ~ (all_52_8 = e3)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2287) implies:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) ~ (all_52_8 = e3)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2284) imply:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) ~ (all_52_12 = e3)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2289) implies:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) ~ (all_52_12 = e3)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2286) imply:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) ~ (all_52_12 = e0)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) all_54_3 = e3
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2290), (2292) are inconsistent by
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1249.
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (117), (120), (123), (197), (198), (202),
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260), (261), (270), (271), (1604), (1605),
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186), (2187), (2209), (2248), (2288), (2291),
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) are inconsistent by sub-proof #946.
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | (2294) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2294) implies:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | (2295) op(e0, all_57_31) = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2260), (2295) imply:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | (2296) op(e0, e2) = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1603), (2296), (function-axioms) are
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1190.
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | (2297) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2297) gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | (2298) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2298) implies:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | (2299) op(e3, e3) = e2
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2250), (2299), (function-axioms) are
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1228.
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | (2300) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (1608), (2208), (2300),
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | #953.
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.68 | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (2301) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.97/22.68 | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (2301) gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (2302) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2302) gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | (2303) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (2195), (2250), (2303),
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | #945.
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | (2304) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2304) gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | (2305) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2305) implies:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | (2306) op(e0, e0) = e1
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2195), (2306), (function-axioms) are
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1431.
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | (2307) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2250), (2307), (function-axioms) are inconsistent
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1020.
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (2308) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2308) gives:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | (2309) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (2187), (2210), (2309),
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | | #1337.
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.68 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | (2310) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2310) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (2311) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2311) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (2312) op(e2, e0) = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2187), (2312), (function-axioms) are
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (2313) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (51), (158), (159), (160),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (377), (1603), (1608), (1613), (2210), (2247),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (2250), (2313), (function-axioms) are inconsistent
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1018.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.69 | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.69 | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | End of split
% 156.97/22.69 | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | (2314) all_54_10 = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (2314) are inconsistent by sub-proof
% 156.97/22.69 | | | | | | | | | | | | | | | | | #1332.
% 156.97/22.69 | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | End of split
% 156.97/22.69 | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | End of split
% 156.97/22.69 | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | End of split
% 156.97/22.69 | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | (2315) all_32_2 = e3
% 156.97/22.69 | | | | | | | | | | | | | | (2316) ( ~ (all_32_0 = e0) & op(e3, e1) = all_32_0 &
% 156.97/22.69 | | | | | | | | | | | | | | $i(all_32_0)) | ( ~ (all_32_1 = e2) & op(e3, e3)
% 156.97/22.69 | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 156.97/22.69 | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | COMBINE_EQS: (301), (2315) imply:
% 156.97/22.69 | | | | | | | | | | | | | | (2317) all_4_2 = e3
% 156.97/22.69 | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | SIMP: (2317) implies:
% 156.97/22.69 | | | | | | | | | | | | | | (2318) all_4_2 = e3
% 156.97/22.69 | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | COMBINE_EQS: (295), (2318) imply:
% 156.97/22.69 | | | | | | | | | | | | | | (2319) all_50_2 = e3
% 156.97/22.69 | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | REDUCE: (362), (2318) imply:
% 156.97/22.69 | | | | | | | | | | | | | | (2320) ~ (all_52_8 = e3)
% 156.97/22.69 | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | REDUCE: (363), (2318) imply:
% 156.97/22.69 | | | | | | | | | | | | | | (2321) ~ (all_52_9 = e3)
% 156.97/22.69 | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | REDUCE: (365), (2318) imply:
% 156.97/22.69 | | | | | | | | | | | | | | (2322) ~ (all_52_11 = e3)
% 156.97/22.69 | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | REDUCE: (367), (2318) imply:
% 156.97/22.69 | | | | | | | | | | | | | | (2323) ~ (all_52_14 = e3)
% 156.97/22.69 | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | REDUCE: (36), (2318) imply:
% 156.97/22.69 | | | | | | | | | | | | | | (2324) op(e1, e1) = e3
% 156.97/22.69 | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 156.97/22.69 | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | (2325) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 156.97/22.69 | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 156.97/22.69 | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | BETA: splitting (2325) gives:
% 156.97/22.69 | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | (2326) all_56_4 = e3 & op(e3, e1) = e3
% 156.97/22.69 | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | ALPHA: (2326) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | (2327) op(e3, e1) = e3
% 156.97/22.69 | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2320), (2327), (function-axioms) are
% 156.97/22.69 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 156.97/22.69 | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | (2328) all_56_5 = e3 & op(e2, e1) = e3
% 156.97/22.69 | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | ALPHA: (2328) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | (2329) all_56_5 = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | (2330) op(e2, e1) = e3
% 156.97/22.69 | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (217),
% 156.97/22.69 | | | | | | | | | | | | | | | | (218), (219), (1604), (2185), (2324), (2329),
% 156.97/22.69 | | | | | | | | | | | | | | | | (2330), (function-axioms) are inconsistent by
% 156.97/22.69 | | | | | | | | | | | | | | | | sub-proof #943.
% 156.97/22.69 | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | End of split
% 156.97/22.69 | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | (2331) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 156.97/22.69 | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 156.97/22.69 | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | BETA: splitting (2331) gives:
% 156.97/22.69 | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | (2332) all_56_8 = e3 & op(e1, e1) = e3
% 156.97/22.69 | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | ALPHA: (2332) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | (2333) all_56_8 = e3
% 156.97/22.69 | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | (2334) ~ (all_34_2 = e0)
% 156.97/22.69 | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | REDUCE: (313), (2334) imply:
% 156.97/22.69 | | | | | | | | | | | | | | | | | (2335) ~ (all_14_2 = e0)
% 156.97/22.69 | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | (2336) all_54_0 = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (2336) imply:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | (2337) all_14_2 = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | REDUCE: (343), (2337) imply:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | (2338) ~ (all_52_4 = e3)
% 156.97/22.69 | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | REDUCE: (347), (2337) imply:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | (2339) ~ (all_52_12 = e3)
% 156.97/22.69 | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | REDUCE: (51), (2337) imply:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | (2340) op(e3, e3) = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | (2341) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (2341) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | (2342) all_56_12 = e3 & op(e0, e3) = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (2342) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | (2343) all_56_12 = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | (2344) op(e0, e3) = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | (2345) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2345) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (2346) all_56_9 = e3 & op(e3, e0) = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (226), (227),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (228), (230), (232), (234), (377), (1608), (2340),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (2346), (function-axioms) are inconsistent by
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | sub-proof #940.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (2347) all_56_10 = e3 & op(e2, e0) = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2347) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (2348) all_56_10 = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (167), (222),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (231), (233), (377), (1608),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (2340), (2343), (2344), (2348), (function-axioms)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #977.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | (2349) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (2195), (2323), (2349),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | #1162.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | (2350) all_56_13 = e3 & op(e0, e2) = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (2350) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | (2351) all_56_13 = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | (2352) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2352) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (2353) all_56_9 = e3 & op(e3, e0) = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (226), (227),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (228), (230), (232), (234), (377), (1608), (2340),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (2353), (function-axioms) are inconsistent by
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | sub-proof #940.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (2354) all_56_10 = e3 & op(e2, e0) = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2354) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (2355) all_56_10 = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | (2356) op(e2, e0) = e3
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | (2357) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2357) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | (2358) all_56_1 = e1 & op(e3, e2) = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2358) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | (2359) all_56_1 = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (141),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (165), (167), (170),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (210), (212), (214), (217), (218),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (234), (239), (376), (377), (1603),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | (1604), (1608), (2183), (2184), (2194), (2195),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | (2324), (2338), (2340), (2355), (2356), (2359),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | #927.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | (2360) all_56_3 = e1 & op(e2, e2) = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2360) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | (2361) op(e2, e2) = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1608), (2361), (function-axioms) are
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | (2362) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2362) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | (2363) all_56_7 = e1 & op(e1, e2) = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2363) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | (2364) all_56_7 = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | (2365) op(e1, e2) = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | (2366) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2366) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) all_56_6 = e2 & op(e1, e3) = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2367) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) all_56_6 = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) op(e1, e3) = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2370) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) all_56_1 = e2 & op(e3, e2) = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2371) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_56_1 = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (1608), (2340), (2355), (2373),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #981.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2374) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) all_56_6 = e0 & op(e1, e3) = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608), (2368), (2372), (2375), (function-axioms)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #926.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_56_12 = e0 & op(e0, e3) = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2376) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) all_56_12 = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2378) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) all_56_12 = e1 & op(e0, e3) = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2379) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) all_56_12 = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2377), (2380) are inconsistent by sub-proof
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1302.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) all_56_13 = e1 & op(e0, e2) = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2351), (2381) are inconsistent by sub-proof
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1186.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2382) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) all_56_14 = e1 & op(e0, e1) = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2383) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) all_56_14 = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2385) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) all_56_0 = e1 & op(e3, e3) = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2386) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) op(e3, e3) = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2340), (2387), (function-axioms) are
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) all_56_2 = e1 & op(e2, e3) = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2388) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) all_56_2 = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) op(e2, e3) = e1
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2391) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) all_56_2 = e2 & op(e2, e3) = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2392) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) op(e2, e3) = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (2390), (2393), (function-axioms) are
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1047.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) all_56_3 = e2 & op(e2, e2) = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2394) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) op(e2, e2) = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1608), (2395), (function-axioms) are
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2396) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) all_56_5 = e2 & op(e2, e1) = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2397) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) all_56_5 = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) op(e2, e1) = e2
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2400) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) all_56_4 = e0 & op(e3, e1) = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2401) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) op(e3, e1) = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2403) gives:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) all_56_6 = e0 & op(e1, e3) = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2404) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) all_56_6 = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2368), (2405) imply:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) e2 = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2406) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) e2 = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2372), (2407) imply:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) all_56_1 = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608), (2408), (function-axioms) are inconsistent
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1007.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) all_56_7 = e0 & op(e1, e2) = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2409) implies:
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) op(e1, e2) = e0
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1602), (2410), (function-axioms) are
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1050.
% 156.97/22.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2411) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) all_56_8 = e0 & op(e1, e1) = e0
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2412) implies:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) op(e1, e1) = e0
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2324), (2413), (function-axioms) are
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) all_56_11 = e0 & op(e1, e0) = e0
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2414) implies:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) op(e1, e0) = e0
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2416) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) all_56_9 = e1 & op(e3, e0) = e1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2417) implies:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) op(e3, e0) = e1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (2415) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) all_52_14 = e0
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (2365) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) all_52_6 = e1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (2369) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) all_52_2 = e2
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (2399) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) all_52_9 = e2
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (2390) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) all_52_1 = e1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (2418) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) all_52_12 = e1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (2402) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) all_52_8 = e0
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2339), (2424) imply:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) ~ (e3 = e1)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2186), (2424) imply:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) ~ (e2 = e1)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2188), (2419) imply:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) ~ (e2 = e0)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2429) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2430) implies:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) (all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432) (all_57_17 = e1 & op(e1, e3) = e1) | ( ~
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2433) (all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2316) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2434) ~ (all_32_0 = e0) & op(e3, e1) = all_32_0 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_0)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2434) implies:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) ~ (all_32_0 = e0)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) op(e3, e1) = all_32_0
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2402), (2435), (2436), (function-axioms)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1004.
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) ~ (all_32_1 = e2) & op(e3, e3) = all_32_1 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2437) implies:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) ~ (all_32_1 = e2)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) op(e3, e3) = all_32_1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2432) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) all_57_17 = e1 & op(e1, e3) = e1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2440) implies:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) all_57_17 = e1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) op(e1, e3) = e1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2443) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2444) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2445) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2446) implies:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) op(e2, e3) = e2
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (2390), (2447), (function-axioms) are
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1047.
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2448) implies:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) all_57_31 = e3
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) ~ (all_57_18 = e0)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2431), (2449), (2450) are inconsistent by
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #976.
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2324), (2431), (2451), (function-axioms) are
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #975.
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2452) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (2324), (2338), (2453),
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #925.
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2454) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2455) implies:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) op(e3, e3) = e2
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2438), (2439), (2456), (function-axioms) are
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1003.
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2457) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e3,
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2369), (2442) gives:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) e2 = e1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2372), (2459) imply:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) all_56_1 = e1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (141),
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (165), (167), (170),
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (210), (212), (214), (217), (218),
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (234), (239), (376), (377), (1603),
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604), (1608), (2183), (2184), (2194), (2195),
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324), (2338), (2340), (2355), (2356), (2460),
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #927.
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2461) implies:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) op(e2, e2) = e1
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1608), (2462), (function-axioms) are
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2463) gives:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (168), (2195), (2339), (2340), (2464),
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #951.
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2465) gives:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2466) gives:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2467) implies:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) op(e2, e0) = e2
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2356), (2468), (function-axioms) are
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1241.
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2469) implies:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) op(e1, e0) = e1
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (2324), (2432), (2470),
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1221.
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2471) gives:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2472) implies:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2473) op(e2, e0) = e2
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2356), (2473), (function-axioms) are
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1241.
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2474) gives:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2475) implies:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476) op(e1, e0) = e1
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (2324), (2432), (2476),
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1221.
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2477) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2477) implies:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2478) gives:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2479) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2479) gives:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2480) implies:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) all_57_28 = e3
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) ~ (all_57_16 = e2)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2433), (2481), (2482) are inconsistent by
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #924.
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2483) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2483) gives:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2484) implies:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) ~ (all_57_17 = e1)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2441), (2485) imply:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) $false
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2486) is inconsistent.
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2487) implies:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) op(e3, e3) = e2
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2438), (2439), (2488), (function-axioms) are
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1003.
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (51), (158), (377), (1603),
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608), (1613), (2340), (2478), (2489),
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1055.
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) ~ (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2490) implies:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) ~ (all_57_30 = e3)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) op(e1, e1) = all_57_30
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2324), (2491), (2492), (function-axioms) are
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1288.
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2493) implies:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1603), (2195), (2494), (function-axioms)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1189.
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2495) gives:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.97/22.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2496) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) op(e1, e1) = all_57_30
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) op(e1, e2) = all_57_20
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) op(e1, all_57_20) = e2
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) (all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2316) gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) ~ (all_32_0 = e0) & op(e3, e1) = all_32_0 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_0)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2501) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) ~ (all_32_0 = e0)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) op(e3, e1) = all_32_0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2402), (2502), (2503), (function-axioms)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1004.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) ~ (all_32_1 = e2) & op(e3, e3) = all_32_1 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2504) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) ~ (all_32_1 = e2)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) op(e3, e3) = all_32_1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2500) gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) all_57_22 = e3 & op(e3, e1) = e3
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2507) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) op(e3, e1) = e3
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2402), (2508), (function-axioms) are
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1458.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) ~ (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2509) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) op(e3, e3) = all_57_26
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (2324), (2497)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) all_57_30 = e3
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e2, e1, simplifying with (2365), (2498)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) all_57_20 = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e3, e3, simplifying with (2340), (2510)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) all_57_26 = e3
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_32_1,
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e3, e3, simplifying with (2506), (2510)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) all_57_26 = all_32_1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2513), (2514) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) all_32_1 = e3
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2499), (2512) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) op(e1, e1) = e2
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2324), (2516), (function-axioms) are
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2517) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) (all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1608), (2356), (2518), (function-axioms) are
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #972.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_56_10 = e1 & op(e2, e0) = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2519) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) all_56_10 = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2355), (2520) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) e3 = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2333), (2521) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) all_56_8 = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (2384), (2398), (2402),
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522), (function-axioms) are inconsistent by
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #923.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (2195), (2415), (2523),
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #922.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) all_56_5 = e0 & op(e2, e1) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2524) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) op(e2, e1) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1604), (2525), (function-axioms) are
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1105.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2526) gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) all_56_8 = e0 & op(e1, e1) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2527) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) op(e1, e1) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2324), (2528), (function-axioms) are
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) all_56_14 = e0 & op(e0, e1) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2529) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) all_56_14 = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2384), (2530) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) e1 = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2531) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) e1 = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2389), (2532) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) all_56_2 = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (222), (1608), (2355), (2398),
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533), (function-axioms) are inconsistent by
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #987.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) all_56_10 = e2 & op(e2, e0) = e2
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2534) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) op(e2, e0) = e2
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2356), (2535), (function-axioms) are
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1241.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2536) gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) all_56_6 = e1 & op(e1, e3) = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2537) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) all_56_6 = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2368), (2538) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) e2 = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2372), (2539) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) all_56_1 = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (141),
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (163), (165), (167), (170),
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (210), (212), (214), (217), (218),
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (222), (223), (224), (226), (227), (228),
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (234), (239), (376), (377), (1603),
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604), (1608), (2183), (2184), (2194), (2195),
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324), (2338), (2340), (2355), (2356), (2540),
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #927.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) all_56_12 = e1 & op(e0, e3) = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2541) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) all_56_12 = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2377), (2542) are inconsistent by sub-proof
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1302.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) all_56_15 = e1 & op(e0, e0) = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2543) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) op(e0, e0) = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2195), (2544), (function-axioms) are
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1431.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) all_56_3 = e2 & op(e2, e2) = e2
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2545) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) op(e2, e2) = e2
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1608), (2546), (function-axioms) are
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2547) gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) all_56_7 = e2 & op(e1, e2) = e2
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2548) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) all_56_7 = e2
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2364), (2549) are inconsistent by sub-proof
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #921.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) all_56_13 = e2 & op(e0, e2) = e2
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2184), (2550), (function-axioms) are
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1259.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) all_56_7 = e2 & op(e1, e2) = e2
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2364), (2551) are inconsistent by sub-proof
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | #1133.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | (2552) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (2188), (2324), (2552),
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | #920.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | (2553) all_56_13 = e1 & op(e0, e2) = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2553) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | (2554) all_56_13 = e1
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2351), (2554) are inconsistent by sub-proof
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | #1403.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | (2555) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (2195), (2323), (2555),
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | #1162.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | (2556) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (2195), (2322), (2556),
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | #1107.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | (2557) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (377), (1613), (2335), (2557) are
% 156.97/22.72 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1229.
% 156.97/22.72 | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | End of split
% 156.97/22.72 | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | (2558) all_34_2 = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (2558) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | (2559) all_14_2 = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | SIMP: (2559) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | (2560) all_14_2 = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (2560) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | (2561) all_44_2 = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | REDUCE: (339), (2560) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | (2562) ~ (all_52_2 = e0)
% 156.97/22.72 | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | REDUCE: (341), (2560) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | (2563) ~ (all_52_3 = e0)
% 156.97/22.72 | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | REDUCE: (345), (2560) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | (2564) ~ (all_52_8 = e0)
% 156.97/22.72 | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | REDUCE: (377), (2560) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | (2565) ~ (e2 = e0)
% 156.97/22.72 | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | REDUCE: (51), (2560) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | (2566) op(e3, e3) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.72 | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | (2567) ~ (all_44_2 = e0)
% 156.97/22.72 | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | REDUCE: (2561), (2567) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | (2568) $false
% 156.97/22.72 | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | CLOSE: (2568) is inconsistent.
% 156.97/22.72 | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | (2569) ( ~ (all_44_0 = e1) & op(e0, e3) = all_44_0 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | $i(all_44_0)) | ( ~ (all_44_1 = e2) & op(e0, e0)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | = all_44_1 & $i(all_44_1))
% 156.97/22.72 | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | (2570) ~ (all_50_2 = e3)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | REDUCE: (2319), (2570) imply:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | (2571) $false
% 156.97/22.72 | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | CLOSE: (2571) is inconsistent.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | (2572) ( ~ (all_50_0 = e2) & op(e3, e1) = all_50_0 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | $i(all_50_0)) | ( ~ (all_50_1 = e0) & op(e3, e3)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 156.97/22.72 | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | (2573) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (1602), (2562), (2573),
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | #1049.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | (2574) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2574) gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | (2575) all_56_8 = e0 & op(e1, e1) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2575) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | (2576) op(e1, e1) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2324), (2576), (function-axioms) are
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | (2577) all_56_11 = e0 & op(e1, e0) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2577) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | (2578) op(e1, e0) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2572) gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | (2579) ~ (all_50_0 = e2) & op(e3, e1) = all_50_0 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_50_0)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2579) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | (2580) ~ (all_50_0 = e2)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | (2581) op(e3, e1) = all_50_0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | (2582) all_56_15 = e0 & op(e0, e0) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2582) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | (2583) op(e0, e0) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2195), (2583), (function-axioms) are
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1100.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | (2584) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2584) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | (2585) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2585) gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | (2586) all_56_12 = e0 & op(e0, e3) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2586) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | (2587) op(e0, e3) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2563), (2587), (function-axioms) are
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1237.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | (2588) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2588) gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | (2589) all_56_13 = e0 & op(e0, e2) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2589) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | (2590) op(e0, e2) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1603), (2590), (function-axioms) are
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1190.
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | (2591) all_56_14 = e0 & op(e0, e1) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2591) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | (2592) op(e0, e1) = e0
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2569) gives:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) ~ (all_44_0 = e1) & op(e0, e3) = all_44_0 &
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_0)
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2593) implies:
% 156.97/22.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) ~ (all_44_0 = e1)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) op(e0, e3) = all_44_0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (2592) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) all_52_11 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_44_0, e3, e0, simplifying with (159), (2595)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_52_3 = all_44_0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (2578) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) all_52_14 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, e1, e3, simplifying with (169), (2581)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) all_52_8 = all_50_0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (2597) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) all_54_12 = all_44_0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (2599) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) all_54_2 = all_50_0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2597) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) ~ (all_52_7 = all_44_0)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2602) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) ~ (all_52_7 = all_44_0)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2183), (2597) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) ~ (all_44_0 = e2)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2563), (2597) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) ~ (all_44_0 = e0)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2599) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) ~ (all_52_9 = all_50_0)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2606) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) ~ (all_52_9 = all_50_0)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2599) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) ~ (all_52_12 = all_50_0)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2608) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) ~ (all_52_12 = all_50_0)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2320), (2599) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) ~ (all_50_0 = e3)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2564), (2599) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) ~ (all_50_0 = e0)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2598) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) ~ (all_52_12 = e0)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) all_54_2 = e3
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2601), (2613) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) all_50_0 = e3
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2614) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) all_50_0 = e3
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2610), (2615) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) $false
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2616) is inconsistent.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2617) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) all_54_2 = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2601), (2618) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) all_50_0 = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2619) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) all_50_0 = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2580), (2620) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) $false
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2621) is inconsistent.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) all_54_2 = e1 | all_54_2 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2622) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) all_54_2 = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2601), (2623) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) all_50_0 = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2624) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) all_50_0 = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2607), (2625) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) ~ (all_52_9 = e1)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2609), (2625) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) ~ (all_52_12 = e1)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) all_54_6 = e3
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (2321), (2628) are inconsistent by
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1393.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2629) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) all_54_6 = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (2630) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) all_52_9 = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2631) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) all_52_9 = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2632) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) ~ (all_52_1 = e2)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (2632) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) ~ (all_52_13 = e2)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) all_54_3 = e3
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2635) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) all_52_12 = e3
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2636) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) all_52_12 = e3
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (2637) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) op(e3, e0) = e3
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2639) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) all_56_0 = e2 & op(e3, e3) = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2640) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) op(e3, e3) = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (226), (227),
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (1608), (2316), (2638), (2641),
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1002.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_56_2 = e2 & op(e2, e3) = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2642) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) op(e2, e3) = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (2633), (2643), (function-axioms) are
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1330.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2644) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) all_56_6 = e2 & op(e1, e3) = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2645) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) all_56_6 = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2647) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648) all_56_6 = e1 & op(e1, e3) = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2646), (2648) are inconsistent by sub-proof
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1413.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2649) all_56_7 = e1 & op(e1, e2) = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2649) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650) op(e1, e2) = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) all_54_12 = e3
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2600), (2651) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) all_44_0 = e3
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2652) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) all_44_0 = e3
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2603), (2653) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) ~ (all_52_7 = e3)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (191), (248), (1603), (2184),
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650), (2654), (function-axioms) are inconsistent
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #916.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2655) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) all_54_12 = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2600), (2656) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) all_44_0 = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2657) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2658) all_44_0 = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2604), (2658) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2659) $false
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2659) is inconsistent.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660) all_54_12 = e1 | all_54_12 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2660) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2661) all_54_12 = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2600), (2661) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2662) all_44_0 = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2662) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2663) all_44_0 = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2594), (2663) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2664) $false
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2664) is inconsistent.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2665) all_54_12 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2600), (2665) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2666) all_44_0 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2666) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2667) all_44_0 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2605), (2667) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2668) $false
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2668) is inconsistent.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2669) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (2324), (2578), (2669),
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #915.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670) all_56_12 = e2 & op(e0, e3) = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2670) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) op(e0, e3) = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2183), (2671), (function-axioms) are
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (117), (120), (123), (197), (198), (202),
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260), (261), (270), (271), (1604), (1605),
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186), (2187), (2320), (2564), (2612), (2626),
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) are inconsistent by sub-proof #946.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) all_54_6 = e1 | all_54_6 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (1604), (2626), (2673) are inconsistent by
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #964.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) all_54_2 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2601), (2674) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) all_50_0 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2675) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) all_50_0 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2611), (2676) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) $false
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2677) is inconsistent.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) ~ (all_44_1 = e2) & op(e0, e0) = all_44_1 &
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_44_1)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2195), (2678), (function-axioms) are inconsistent
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #914.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | (2679) ~ (all_50_1 = e0) & op(e3, e3) = all_50_1 &
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2679) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | (2680) ~ (all_50_1 = e0)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | (2681) op(e3, e3) = all_50_1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2566), (2680), (2681), (function-axioms) are
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1114.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | (2682) all_56_14 = e3 & op(e0, e1) = e3
% 156.97/22.73 | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | REF_CLOSE: (157), (2322), (2682), (function-axioms) are
% 156.97/22.73 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1184.
% 156.97/22.73 | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | End of split
% 156.97/22.73 | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | (2683) all_28_2 = e1
% 156.97/22.73 | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | COMBINE_EQS: (315), (2683) imply:
% 156.97/22.73 | | | | | | | | | | (2684) all_14_2 = e1
% 156.97/22.73 | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | SIMP: (2684) implies:
% 156.97/22.73 | | | | | | | | | | (2685) all_14_2 = e1
% 156.97/22.73 | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | COMBINE_EQS: (305), (2685) imply:
% 156.97/22.73 | | | | | | | | | | (2686) all_36_2 = e1
% 156.97/22.73 | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | REDUCE: (337), (2685) imply:
% 156.97/22.73 | | | | | | | | | | (2687) ~ (all_52_1 = e1)
% 156.97/22.73 | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | REDUCE: (339), (2685) imply:
% 156.97/22.73 | | | | | | | | | | (2688) ~ (all_52_2 = e1)
% 156.97/22.73 | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | REDUCE: (343), (2685) imply:
% 156.97/22.73 | | | | | | | | | | (2689) ~ (all_52_4 = e1)
% 156.97/22.73 | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | REDUCE: (345), (2685) imply:
% 156.97/22.73 | | | | | | | | | | (2690) ~ (all_52_8 = e1)
% 156.97/22.73 | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | REDUCE: (347), (2685) imply:
% 156.97/22.73 | | | | | | | | | | (2691) ~ (all_52_12 = e1)
% 156.97/22.73 | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | REDUCE: (377), (2685) imply:
% 156.97/22.73 | | | | | | | | | | (2692) ~ (e2 = e1)
% 156.97/22.73 | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | REDUCE: (51), (2685) imply:
% 156.97/22.73 | | | | | | | | | | (2693) op(e3, e3) = e1
% 156.97/22.73 | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | BETA: splitting (76) gives:
% 156.97/22.73 | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | (2694) ~ (all_30_2 = e2)
% 156.97/22.73 | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | REDUCE: (309), (2694) imply:
% 156.97/22.73 | | | | | | | | | | | (2695) ~ (all_10_2 = e2)
% 156.97/22.73 | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | BETA: splitting (79) gives:
% 156.97/22.73 | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | (2696) ~ (all_32_2 = e3)
% 156.97/22.73 | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | REDUCE: (301), (2696) imply:
% 156.97/22.73 | | | | | | | | | | | | (2697) ~ (all_4_2 = e3)
% 156.97/22.73 | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | BETA: splitting (194) gives:
% 156.97/22.73 | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | (2698) all_54_10 = e3
% 156.97/22.73 | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | REF_CLOSE: (335), (2697), (2698) are inconsistent by
% 156.97/22.73 | | | | | | | | | | | | | sub-proof #1479.
% 156.97/22.73 | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | (2699) ~ (all_54_10 = e3)
% 156.97/22.73 | | | | | | | | | | | | | (2700) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 156.97/22.73 | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | BETA: splitting (2700) gives:
% 156.97/22.73 | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | (2701) all_54_10 = e2
% 156.97/22.73 | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (2701) are inconsistent by sub-proof
% 156.97/22.73 | | | | | | | | | | | | | | #1478.
% 156.97/22.73 | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | (2702) ~ (all_54_10 = e2)
% 156.97/22.73 | | | | | | | | | | | | | | (2703) all_54_10 = e1 | all_54_10 = e0
% 156.97/22.73 | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | BETA: splitting (2703) gives:
% 156.97/22.73 | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | (2704) all_54_10 = e1
% 156.97/22.73 | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | COMBINE_EQS: (335), (2704) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | (2705) all_4_2 = e1
% 156.97/22.73 | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | SIMP: (2705) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | (2706) all_4_2 = e1
% 156.97/22.73 | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | REDUCE: (360), (2706) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | (2707) ~ (all_52_6 = e1)
% 156.97/22.73 | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | REDUCE: (363), (2706) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | (2708) ~ (all_52_9 = e1)
% 156.97/22.73 | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | REDUCE: (2697), (2706) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | (2709) ~ (e3 = e1)
% 156.97/22.73 | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | REDUCE: (36), (2706) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | (2710) op(e1, e1) = e1
% 156.97/22.73 | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 156.97/22.73 | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | (2711) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 156.97/22.73 | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (1608), (2687), (2711),
% 156.97/22.73 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.73 | | | | | | | | | | | | | | | | #913.
% 156.97/22.73 | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | (2712) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 156.97/22.73 | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 156.97/22.73 | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | BETA: splitting (2712) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | (2713) all_56_5 = e1 & op(e2, e1) = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2708), (2713), (function-axioms) are
% 156.97/22.73 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 156.97/22.73 | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | (2714) all_56_10 = e1 & op(e2, e0) = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | ALPHA: (2714) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | (2715) op(e2, e0) = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | (2716) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 156.97/22.73 | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1608), (2689), (2716),
% 156.97/22.73 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.73 | | | | | | | | | | | | | | | | | | #912.
% 156.97/22.73 | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | (2717) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 156.97/22.73 | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 156.97/22.73 | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | BETA: splitting (2717) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | (2718) all_56_7 = e1 & op(e1, e2) = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | ALPHA: (2718) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | (2719) op(e1, e2) = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2707), (2719), (function-axioms) are
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | (2720) all_56_13 = e1 & op(e0, e2) = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | ALPHA: (2720) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | (2721) op(e0, e2) = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (2721) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | (2722) all_52_7 = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (2715) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | (2723) all_52_13 = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (2723) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | (2724) ~ (all_10_2 = e1)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | SIMP: (2724) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | (2725) ~ (all_10_2 = e1)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | (2726) all_54_15 = e3
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2726) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | (2727) all_10_2 = e3
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (2727) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | (2728) $false
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | CLOSE: (2728) is inconsistent.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | (2729) ~ (all_54_15 = e3)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | (2730) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2730) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | (2731) all_54_15 = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2731) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | (2732) all_10_2 = e2
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2695), (2732) imply:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | (2733) $false
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2733) is inconsistent.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | (2734) ~ (all_54_15 = e2)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | (2735) all_54_15 = e1 | all_54_15 = e0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1611) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | (2736) ~ (all_26_0 = e1) & op(e0, e2) = all_26_0 &
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_26_0)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2736) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | (2737) ~ (all_26_0 = e1)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | (2738) op(e0, e2) = all_26_0
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2721), (2737), (2738), (function-axioms) are
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #911.
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | (2739) ~ (all_26_1 = e3) & op(e0, e0) = all_26_1 &
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2739) implies:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | (2740) ~ (all_26_1 = e3)
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | (2741) op(e0, e0) = all_26_1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2735) gives:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | (2742) all_54_15 = e1
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2742) imply:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | (2743) all_10_2 = e1
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2725), (2743) imply:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | (2744) $false
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2744) is inconsistent.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | (2745) all_54_15 = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2745) imply:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | (2746) all_10_2 = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (2746) imply:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | (2747) ~ (all_52_3 = e0)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (2746) imply:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | (2748) ~ (all_52_11 = e0)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2695), (2746) imply:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | (2749) ~ (e2 = e0)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (2746) imply:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | (2750) op(e0, e0) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | (2751) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | (224), (1608), (2693), (2751), (function-axioms)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #907.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | (2752) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2752) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | (2753) all_56_6 = e0 & op(e1, e3) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2753) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | (2754) op(e1, e3) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2755) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) all_56_4 = e0 & op(e3, e1) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2756) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) op(e3, e1) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_26_1,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (2741), (2750) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) all_26_1 = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (2754) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) all_52_2 = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (2757) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) all_52_8 = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2759) imply:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) ~ (all_52_3 = e0)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) ~ (all_36_2 = e1)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2686), (2762) imply:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) $false
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2763) is inconsistent.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) ( ~ (all_36_0 = e0) & op(e1, e3) = all_36_0 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_0)) | ( ~ (all_36_1 = e2) & op(e1, e1)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2764) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) ~ (all_36_0 = e0) & op(e1, e3) = all_36_0 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_0)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2754), (2765), (function-axioms) are inconsistent
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #906.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) ~ (all_36_1 = e2) & op(e1, e1) = all_36_1 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2766) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) ~ (all_36_1 = e2)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) op(e1, e1) = all_36_1
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2769) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2693), (2747), (2750), (2757), (2770),
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #905.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2771) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) op(e2, e0) = all_57_27
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) op(e2, e2) = all_57_28
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) op(e2, all_57_28) = e2
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) (all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2776) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) all_57_20 = e1 & op(e1, e2) = e1
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2777) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) op(e1, e2) = e1
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2707), (2778), (function-axioms) are
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) ~ (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2779) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) op(e1, e1) = all_57_30
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2775) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) all_57_21 = e0 & op(e0, e2) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2781) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) op(e0, e2) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (246), (361), (2725), (2735), (2782),
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #904.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (2710), (2780)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) all_57_30 = e1
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_36_1,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (2768), (2780)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) all_57_30 = all_36_1
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_27, e0, e2, simplifying with (2715), (2772)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) all_57_27 = e1
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (1608), (2773)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_57_28 = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2783), (2784) imply:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_36_1 = e1
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2774), (2786) imply:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) op(e2, e0) = e2
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2715), (2788), (function-axioms) are
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #903.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2789) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2790) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) (all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2693), (2757), (2791), (function-axioms) are
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #902.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2792) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) (all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1608), (2715), (2793), (function-axioms) are
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) all_56_5 = e0 & op(e2, e1) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2794) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) op(e2, e1) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1604), (2795), (function-axioms) are
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1105.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (2710), (2748), (2796),
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | | #1453.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | (2797) all_56_12 = e0 & op(e0, e3) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2797) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | (2798) op(e0, e3) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2747), (2798), (function-axioms) are
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1237.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | (2799) all_54_10 = e0
% 156.97/22.74 | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (2799) are inconsistent by sub-proof
% 156.97/22.74 | | | | | | | | | | | | | | | #1332.
% 156.97/22.74 | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | (2800) all_32_2 = e3
% 156.97/22.74 | | | | | | | | | | | | (2801) ( ~ (all_32_0 = e0) & op(e3, e1) = all_32_0 &
% 156.97/22.74 | | | | | | | | | | | | $i(all_32_0)) | ( ~ (all_32_1 = e2) & op(e3, e3)
% 156.97/22.74 | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 156.97/22.74 | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | COMBINE_EQS: (301), (2800) imply:
% 156.97/22.74 | | | | | | | | | | | | (2802) all_4_2 = e3
% 156.97/22.74 | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | SIMP: (2802) implies:
% 156.97/22.74 | | | | | | | | | | | | (2803) all_4_2 = e3
% 156.97/22.74 | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | REDUCE: (360), (2803) imply:
% 156.97/22.74 | | | | | | | | | | | | (2804) ~ (all_52_6 = e3)
% 156.97/22.74 | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | REDUCE: (362), (2803) imply:
% 156.97/22.74 | | | | | | | | | | | | (2805) ~ (all_52_8 = e3)
% 156.97/22.74 | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | REDUCE: (363), (2803) imply:
% 156.97/22.74 | | | | | | | | | | | | (2806) ~ (all_52_9 = e3)
% 156.97/22.74 | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | REDUCE: (365), (2803) imply:
% 156.97/22.74 | | | | | | | | | | | | (2807) ~ (all_52_11 = e3)
% 156.97/22.74 | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | REDUCE: (367), (2803) imply:
% 156.97/22.74 | | | | | | | | | | | | (2808) ~ (all_52_14 = e3)
% 156.97/22.74 | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | REDUCE: (36), (2803) imply:
% 156.97/22.74 | | | | | | | | | | | | (2809) op(e1, e1) = e3
% 156.97/22.74 | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | BETA: splitting (216) gives:
% 156.97/22.74 | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | (2810) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 156.97/22.74 | | | | | | | | | | | | | & op(e1, e2) = e3)
% 156.97/22.74 | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | BETA: splitting (2810) gives:
% 156.97/22.74 | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | (2811) all_56_6 = e3 & op(e1, e3) = e3
% 156.97/22.74 | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | ALPHA: (2811) implies:
% 156.97/22.74 | | | | | | | | | | | | | | (2812) all_56_6 = e3
% 156.97/22.74 | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 156.97/22.74 | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | (2813) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 156.97/22.74 | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 156.97/22.74 | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 156.97/22.74 | | | | | | | | | | | | | | | (224), (1608), (2693), (2813), (function-axioms)
% 156.97/22.74 | | | | | | | | | | | | | | | are inconsistent by sub-proof #907.
% 156.97/22.74 | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | (2814) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 156.97/22.74 | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 156.97/22.74 | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | BETA: splitting (2814) gives:
% 156.97/22.74 | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | (2815) all_56_6 = e0 & op(e1, e3) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2812), (2815) are inconsistent by sub-proof
% 156.97/22.74 | | | | | | | | | | | | | | | | #1036.
% 156.97/22.74 | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | (2816) all_56_12 = e0 & op(e0, e3) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | ALPHA: (2816) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | (2817) op(e0, e3) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | (2818) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 156.97/22.74 | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 156.97/22.74 | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | BETA: splitting (2818) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | (2819) all_56_12 = e3 & op(e0, e3) = e3
% 156.97/22.74 | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | ALPHA: (2819) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | (2820) op(e0, e3) = e3
% 156.97/22.74 | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2817), (2820), (function-axioms) are
% 156.97/22.74 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1131.
% 156.97/22.74 | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | (2821) all_56_13 = e3 & op(e0, e2) = e3
% 156.97/22.74 | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | ALPHA: (2821) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | (2822) all_56_13 = e3
% 156.97/22.74 | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | (2823) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (2823) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | (2824) all_56_6 = e0 & op(e1, e3) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2812), (2824) are inconsistent by sub-proof
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | #1036.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | (2825) all_56_7 = e0 & op(e1, e2) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | ALPHA: (2825) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | (2826) op(e1, e2) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1602), (2826), (function-axioms) are
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1050.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.74 | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | (2827) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (2827) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | (2828) all_56_8 = e0 & op(e1, e1) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | ALPHA: (2828) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | (2829) op(e1, e1) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2809), (2829), (function-axioms) are
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | (2830) all_56_11 = e0 & op(e1, e0) = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | ALPHA: (2830) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | (2831) all_56_11 = e0
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | (2832) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1608), (2689), (2832),
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | #912.
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | (2833) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2833) gives:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | (2834) all_56_7 = e1 & op(e1, e2) = e1
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2834) implies:
% 156.97/22.74 | | | | | | | | | | | | | | | | | | | | | | (2835) all_56_7 = e1
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | (2836) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2836) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2837) all_56_6 = e2 & op(e1, e3) = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2812), (2837) are inconsistent by sub-proof
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | #1328.
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2838) all_56_7 = e2 & op(e1, e2) = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2838) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2839) all_56_7 = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2835), (2839) are inconsistent by sub-proof
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | #921.
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | (2840) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2840) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2841) all_56_8 = e2 & op(e1, e1) = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2841) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2842) op(e1, e1) = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2809), (2842), (function-axioms) are
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2843) all_56_11 = e2 & op(e1, e0) = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2843) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2844) all_56_11 = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2831), (2844) are inconsistent by sub-proof
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | #1396.
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | (2845) all_56_13 = e1 & op(e0, e2) = e1
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2822), (2845) are inconsistent by sub-proof
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | #1186.
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.75 | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | End of split
% 156.97/22.75 | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | End of split
% 156.97/22.75 | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | (2846) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 156.97/22.75 | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 156.97/22.75 | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (376), (2807), (2846),
% 156.97/22.75 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 156.97/22.75 | | | | | | | | | | | | | | | | | #969.
% 156.97/22.75 | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | End of split
% 156.97/22.75 | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | End of split
% 156.97/22.75 | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | End of split
% 156.97/22.75 | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | (2847) all_56_7 = e3 & op(e1, e2) = e3
% 156.97/22.75 | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | ALPHA: (2847) implies:
% 156.97/22.75 | | | | | | | | | | | | | | (2848) op(e1, e2) = e3
% 156.97/22.75 | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | REF_CLOSE: (162), (2804), (2848), (function-axioms) are
% 156.97/22.75 | | | | | | | | | | | | | | inconsistent by sub-proof #1268.
% 156.97/22.75 | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | End of split
% 156.97/22.75 | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | (2849) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 156.97/22.75 | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 156.97/22.75 | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | BETA: splitting (2849) gives:
% 156.97/22.75 | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | (2850) all_56_8 = e3 & op(e1, e1) = e3
% 156.97/22.75 | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | ALPHA: (2850) implies:
% 156.97/22.75 | | | | | | | | | | | | | | (2851) all_56_8 = e3
% 156.97/22.75 | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 156.97/22.75 | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | (2852) ~ (all_36_2 = e1)
% 156.97/22.75 | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | REDUCE: (2686), (2852) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | (2853) $false
% 156.97/22.75 | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | CLOSE: (2853) is inconsistent.
% 156.97/22.75 | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | (2854) ( ~ (all_36_0 = e0) & op(e1, e3) = all_36_0 &
% 156.97/22.75 | | | | | | | | | | | | | | | $i(all_36_0)) | ( ~ (all_36_1 = e2) & op(e1, e1)
% 156.97/22.75 | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 156.97/22.75 | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 156.97/22.75 | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | (2855) ~ (all_40_2 = e1)
% 156.97/22.75 | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | REDUCE: (307), (2855) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | (2856) ~ (all_10_2 = e1)
% 156.97/22.75 | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | (2857) all_54_15 = e3
% 156.97/22.75 | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2857) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | (2858) all_10_2 = e3
% 156.97/22.75 | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | REDUCE: (376), (2858) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | (2859) $false
% 156.97/22.75 | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | CLOSE: (2859) is inconsistent.
% 156.97/22.75 | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | (2860) ~ (all_54_15 = e3)
% 156.97/22.75 | | | | | | | | | | | | | | | | | (2861) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | BETA: splitting (2861) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | (2862) all_54_15 = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2862) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | (2863) all_10_2 = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | REDUCE: (2695), (2863) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | (2864) $false
% 156.97/22.75 | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | CLOSE: (2864) is inconsistent.
% 156.97/22.75 | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | (2865) ~ (all_54_15 = e2)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | (2866) all_54_15 = e1 | all_54_15 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | BETA: splitting (2866) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | (2867) all_54_15 = e1
% 156.97/22.75 | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2867) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | (2868) all_10_2 = e1
% 156.97/22.75 | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | REDUCE: (2856), (2868) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | (2869) $false
% 156.97/22.75 | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | CLOSE: (2869) is inconsistent.
% 156.97/22.75 | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | (2870) all_54_15 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (2870) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | (2871) all_10_2 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | REDUCE: (350), (2871) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | (2872) ~ (all_52_3 = e0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | REDUCE: (368), (2871) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | (2873) ~ (all_52_11 = e0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | REDUCE: (2695), (2871) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | (2874) ~ (e2 = e0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | (2875) all_56_15 = e0 & op(e0, e0) = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | ALPHA: (2875) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | (2876) all_56_15 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | (2877) op(e0, e0) = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | (2878) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2878) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | (2879) all_56_6 = e0 & op(e1, e3) = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2879) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | (2880) all_56_6 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | (2881) op(e1, e3) = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | (2882) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | (1608), (2693), (2882), (function-axioms) are
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #900.
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | (2883) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2883) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_56_4 = e0 & op(e3, e1) = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2884) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2885) all_56_4 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2886) op(e3, e1) = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (2881) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2887) all_52_2 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (2886) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2888) all_52_8 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2887) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2889) ~ (all_52_3 = e0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (2887) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2890) ~ (all_52_6 = e0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (2887) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2891) ~ (all_52_14 = e0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2891) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2892) ~ (all_52_14 = e0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2888) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2893) ~ (all_52_9 = e0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2888) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2894) ~ (all_52_12 = e0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2894) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | (2895) ~ (all_52_12 = e0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2854) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2896) ~ (all_36_0 = e0) & op(e1, e3) = all_36_0 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2881), (2896), (function-axioms) are inconsistent
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #906.
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2897) ~ (all_36_1 = e2) & op(e1, e1) = all_36_1 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2897) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2898) ~ (all_36_1 = e2)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2899) op(e1, e1) = all_36_1
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) all_54_1 = e3
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (2900) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) all_52_4 = e3
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2901) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) all_52_4 = e3
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2902) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) ~ (all_52_12 = e3)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2903) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) ~ (all_52_12 = e3)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) all_54_3 = e3
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2904), (2905) are inconsistent by
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1249.
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) ~ (all_54_3 = e3)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2908) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) all_56_9 = e3 & op(e3, e0) = e3
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2909) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) op(e3, e0) = e3
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (201), (270), (2691), (2895), (2904),
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910), (function-axioms) are inconsistent by
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #960.
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) all_56_10 = e3 & op(e2, e0) = e3
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2911) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) op(e2, e0) = e3
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2907) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) all_54_3 = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2913) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) all_52_12 = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2914) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) all_52_12 = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2915) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) ~ (all_52_13 = e2)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2916) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) ~ (all_52_13 = e2)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2915) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) ~ (all_52_14 = e2)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2918) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) ~ (all_52_14 = e2)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2904), (2915) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) ~ (e3 = e2)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) all_54_11 = e3
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (2921) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) all_52_14 = e3
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2808), (2922) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) $false
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2923) is inconsistent.
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2924) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) all_54_11 = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (2925) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) all_52_14 = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2919), (2926) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) $false
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2927) is inconsistent.
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) all_54_11 = e1 | all_54_11 = e0
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2928) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) all_54_11 = e1
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (2929) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) all_52_14 = e1
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (2930) imply:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) op(e1, e0) = e1
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2932) gives:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2933) implies:
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) (all_57_17 = e1 & op(e1, e3) = e1) | ( ~
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (2809), (2931), (2934),
% 156.97/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1221.
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (145), (146), (164), (197), (198), (200),
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260), (261), (269), (1600), (1604), (1605),
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608), (2687), (2917), (2935), (function-axioms)
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #896.
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2936) gives:
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2937) implies:
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) (all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2693), (2886), (2938), (function-axioms) are
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #902.
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2939) implies:
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) (all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1608), (2912), (2940), (function-axioms) are
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #972.
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) all_54_11 = e0
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (2941) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2942) all_52_14 = e0
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2892), (2942) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2943) $false
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2943) is inconsistent.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2944) all_54_3 = e1 | all_54_3 = e0
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2691), (2895), (2944) are inconsistent by
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1248.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2945) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2945) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946) all_56_11 = e3 & op(e1, e0) = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2946) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947) op(e1, e0) = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2808), (2947), (function-axioms) are
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1355.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2948) all_56_15 = e3 & op(e0, e0) = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2948) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949) op(e0, e0) = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2877), (2949), (function-axioms) are
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1216.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (2950) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2950) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2951) all_54_1 = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (2951) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2952) all_52_4 = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2952) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2953) all_52_4 = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (2953) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) ~ (all_52_6 = e2)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2954) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) ~ (all_52_6 = e2)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (2953) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) ~ (all_52_7 = e2)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2956) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) ~ (all_52_7 = e2)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2953) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) ~ (all_52_12 = e2)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2958) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) ~ (all_52_12 = e2)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (2953) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) op(e3, e2) = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) all_54_3 = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2961) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) all_52_12 = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2962) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) ~ (all_52_13 = e3)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2963) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) ~ (all_52_13 = e3)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2962) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) ~ (all_52_14 = e3)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (2962) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) op(e3, e0) = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2967) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) all_56_1 = e3 & op(e3, e2) = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2968) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969) op(e3, e2) = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2960), (2969), (function-axioms) are
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #895.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2970) all_56_3 = e3 & op(e2, e2) = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2970) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2971) op(e2, e2) = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1608), (2971), (function-axioms) are
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2972) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) all_56_7 = e3 & op(e1, e2) = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2973) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) op(e1, e2) = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2804), (2974), (function-axioms) are
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1268.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) all_56_13 = e3 & op(e0, e2) = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2975) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) all_56_13 = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2977) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) all_56_12 = e1 & op(e0, e3) = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2978) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) all_56_12 = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (233), (235), (2693),
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880), (2979), (function-axioms) are inconsistent
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1303.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) all_56_13 = e1 & op(e0, e2) = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2976), (2980) are inconsistent by sub-proof
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1186.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2981) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) all_56_14 = e1 & op(e0, e1) = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2982) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) all_56_14 = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2984) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) all_56_4 = e2 & op(e3, e1) = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2885), (2985) are inconsistent by sub-proof
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #894.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) all_56_5 = e2 & op(e2, e1) = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2986) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) all_56_5 = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2988) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) all_56_0 = e2 & op(e3, e3) = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2989) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) op(e3, e3) = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (226), (227),
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (1608), (2801), (2966), (2990),
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1002.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) all_56_1 = e2 & op(e3, e2) = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2991) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) all_56_1 = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2993) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) all_56_12 = e2 & op(e0, e3) = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2994) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) all_56_12 = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) op(e0, e3) = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) all_54_9 = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2804), (2997) are inconsistent by
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1254.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2999) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) all_56_2 = e1 & op(e2, e3) = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3000) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) all_56_2 = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (2693),
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995), (2996), (3001), (function-axioms) are
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #892.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) all_56_3 = e1 & op(e2, e2) = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3002) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) op(e2, e2) = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1608), (3003), (function-axioms) are
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3004) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) all_56_5 = e1 & op(e2, e1) = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3005) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) all_56_5 = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2987), (3006) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) e2 = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2992), (3007) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) all_56_1 = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (226), (227),
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (234), (1608), (2801), (2885),
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966), (3008), (function-axioms) are inconsistent
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #999.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) all_56_10 = e1 & op(e2, e0) = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3009) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) op(e2, e0) = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2998) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) all_54_9 = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (2955), (3011) are inconsistent by
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1253.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) all_54_9 = e1 | all_54_9 = e0
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3012) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) all_54_9 = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (3013) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) all_52_6 = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3014) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) all_52_6 = e1
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (3015) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) ~ (all_52_14 = e1)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3016) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) ~ (all_52_14 = e1)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) all_54_11 = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (2808), (3018) are inconsistent by
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1371.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3019) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) all_54_11 = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (3020) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) all_52_14 = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3021) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) all_52_14 = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3022) imply:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) ~ (all_52_13 = e2)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) all_54_7 = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (2964), (3024) are inconsistent by
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #891.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3026) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2693), (2872), (2877), (2886), (3027),
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #905.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3028) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) op(e2, e2) = all_57_28
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030) op(e2, all_57_28) = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (260), (1605), (1608), (3023), (3025),
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029), (3030), (function-axioms) are inconsistent
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #897.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3031) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3031) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3032) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3032) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3033) (all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2693), (2886), (3033), (function-axioms) are
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #902.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3034) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3034) implies:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3035) (all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1608), (3010), (3035), (function-axioms) are
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036) all_54_11 = e1 | all_54_11 = e0
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (2892), (3017), (3036) are inconsistent by
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #890.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3037) all_54_9 = e0
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (1602), (3037) are inconsistent by
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1242.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3038) all_56_13 = e2 & op(e0, e2) = e2
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (2957), (3038), (function-axioms) are
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1259.
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3039) gives:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3040) all_56_14 = e2 & op(e0, e1) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3040) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3041) all_56_14 = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2983), (3041) imply:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3042) e2 = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3042) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3043) e2 = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2992), (3043) imply:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3044) all_56_1 = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (226), (227),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (234), (1608), (2801), (2885),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966), (3044), (function-axioms) are inconsistent
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #999.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3045) all_56_15 = e2 & op(e0, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3045) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3046) op(e0, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2877), (3046), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1100.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3047) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (2885), (2966), (3047),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1000.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3048) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3048) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3049) all_56_8 = e2 & op(e1, e1) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3049) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3050) op(e1, e1) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2898), (2899), (3050), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #889.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3051) all_56_14 = e2 & op(e0, e1) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3051) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3052) all_56_14 = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2983), (3052) are inconsistent by sub-proof
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1255.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3053) all_56_15 = e1 & op(e0, e0) = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3053) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054) op(e0, e0) = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2877), (3054), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1452.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3055) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (170), (270), (2691), (2895), (2960),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3055), (function-axioms) are inconsistent by
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #888.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056) all_54_1 = e1 | all_54_1 = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (1601), (2689), (3056) are inconsistent by
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #886.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (3057) all_56_9 = e0 & op(e3, e0) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3057) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (3058) all_56_9 = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (3059) op(e3, e0) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (157), (165), (217),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (1604), (2693), (2809), (2873),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (3058), (3059), (function-axioms) are inconsistent
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #883.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | (3060) all_56_7 = e0 & op(e1, e2) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3060) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | (3061) op(e1, e2) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1602), (3061), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1050.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | (3062) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3062) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | (3063) all_56_8 = e0 & op(e1, e1) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3063) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | (3064) op(e1, e1) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2809), (3064), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | (3065) all_56_11 = e0 & op(e1, e0) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3065) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | (3066) all_56_11 = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | (3067) op(e1, e0) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | (3068) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3068) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (3069) all_56_9 = e1 & op(e3, e0) = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3069) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (3070) all_56_9 = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3071) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3071) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) all_56_0 = e3 & op(e3, e3) = e3
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3072) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) op(e3, e3) = e3
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2693), (3073), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) all_56_1 = e3 & op(e3, e2) = e3
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3074) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) op(e3, e2) = e3
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608), (2693), (3076), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #900.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3077) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) all_56_4 = e0 & op(e3, e1) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3078) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) all_56_4 = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3080) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) all_56_9 = e2 & op(e3, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3081) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) all_56_9 = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) op(e3, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (45), (210), (212),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (2876), (3066), (3082), (3083),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1418.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) all_56_10 = e2 & op(e2, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3084) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) all_56_10 = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (2693), (3075), (3086),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #885.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3087) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) all_56_4 = e2 & op(e3, e1) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3088) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) all_56_4 = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3079), (3089) imply:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) e2 = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3090) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) e2 = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3085), (3091) imply:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_56_10 = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (45), (212), (376), (3066), (3070),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092), (function-axioms) are inconsistent by
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #881.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) all_56_9 = e2 & op(e3, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3093) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) all_56_9 = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) op(e3, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (45), (210), (212),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (2876), (3066), (3094), (3095),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1418.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3096) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) all_56_11 = e2 & op(e1, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3097) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) all_56_11 = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3066), (3098) are inconsistent by sub-proof
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1396.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) all_56_15 = e2 & op(e0, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3099) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) op(e0, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2877), (3100), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1100.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) all_56_9 = e0 & op(e3, e0) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3101) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) all_56_9 = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3070), (3102) are inconsistent by sub-proof
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #880.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3103) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3103) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) all_56_4 = e3 & op(e3, e1) = e3
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3104) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) op(e3, e1) = e3
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2805), (3105), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) all_56_9 = e3 & op(e3, e0) = e3
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3106) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) all_56_9 = e3
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3070), (3107) are inconsistent by sub-proof
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | #1095.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (3108) all_56_10 = e1 & op(e2, e0) = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3108) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (3109) all_56_10 = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (3110) op(e2, e0) = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3111) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3111) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) all_56_9 = e2 & op(e3, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3112) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) op(e3, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (45), (212), (376), (3066), (3109),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3113), (function-axioms) are inconsistent by
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1443.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) all_56_10 = e2 & op(e2, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3114) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) op(e2, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3110), (3115), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #903.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | (3116) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3116) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) all_56_11 = e2 & op(e1, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3066), (3117) are inconsistent by sub-proof
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | #1245.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) all_56_15 = e2 & op(e0, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3118) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) op(e0, e0) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2877), (3119), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1100.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | (3120) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3120) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (3121) all_56_11 = e1 & op(e1, e0) = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3121) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (3122) op(e1, e0) = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3067), (3122), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1183.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (3123) all_56_15 = e1 & op(e0, e0) = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3123) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (3124) op(e0, e0) = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2877), (3124), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1452.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | (3125) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | ALPHA: (3125) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | (3126) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3126) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | (3127) all_56_12 = e0 & op(e0, e3) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3127) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | (3128) op(e0, e3) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2872), (3128), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1237.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | (3129) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3129) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | (3130) all_56_13 = e0 & op(e0, e2) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3130) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | (3131) op(e0, e2) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (246), (361), (2856), (2866), (3131),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | #904.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | (3132) all_56_14 = e0 & op(e0, e1) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3132) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | (3133) op(e0, e1) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (246), (368), (2856), (2866), (3133),
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | #1150.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | (3134) all_40_2 = e1
% 157.33/22.77 | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (3134) imply:
% 157.33/22.77 | | | | | | | | | | | | | | | | (3135) all_10_2 = e1
% 157.33/22.77 | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (3135) imply:
% 157.33/22.77 | | | | | | | | | | | | | | | | (3136) all_46_2 = e1
% 157.33/22.77 | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | REDUCE: (350), (3135) imply:
% 157.33/22.77 | | | | | | | | | | | | | | | | (3137) ~ (all_52_3 = e1)
% 157.33/22.77 | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | REDUCE: (361), (3135) imply:
% 157.33/22.77 | | | | | | | | | | | | | | | | (3138) ~ (all_52_7 = e1)
% 157.33/22.77 | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | REDUCE: (376), (3135) imply:
% 157.33/22.77 | | | | | | | | | | | | | | | | (3139) ~ (e3 = e1)
% 157.33/22.77 | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | REDUCE: (45), (3135) imply:
% 157.33/22.77 | | | | | | | | | | | | | | | | (3140) op(e0, e0) = e1
% 157.33/22.77 | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | (3141) ~ (all_46_2 = e1)
% 157.33/22.77 | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | REDUCE: (3136), (3141) imply:
% 157.33/22.77 | | | | | | | | | | | | | | | | | (3142) $false
% 157.33/22.77 | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | CLOSE: (3142) is inconsistent.
% 157.33/22.77 | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | (3143) ( ~ (all_46_0 = e2) & op(e1, e0) = all_46_0 &
% 157.33/22.77 | | | | | | | | | | | | | | | | | $i(all_46_0)) | ( ~ (all_46_1 = e3) & op(e1, e1)
% 157.33/22.77 | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 157.33/22.77 | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | (3144) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 157.33/22.77 | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | BETA: splitting (3144) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | (3145) all_56_4 = e1 & op(e3, e1) = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | ALPHA: (3145) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | (3146) all_56_4 = e1
% 157.33/22.77 | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | (3147) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3147) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | (3148) all_56_4 = e0 & op(e3, e1) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3148) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | (3149) all_56_4 = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3146), (3149) are inconsistent by sub-proof
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | #1373.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | (3150) all_56_5 = e0 & op(e2, e1) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3150) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | (3151) op(e2, e1) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1604), (3151), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1105.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | (3152) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3152) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | (3153) all_56_8 = e0 & op(e1, e1) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3153) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | (3154) op(e1, e1) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2809), (3154), (function-axioms) are
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | (3155) all_56_14 = e0 & op(e0, e1) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3155) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | (3156) op(e0, e1) = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | (3157) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3157) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | (3158) all_56_4 = e2 & op(e3, e1) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3146), (3158) are inconsistent by sub-proof
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | #879.
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | (3159) all_56_5 = e2 & op(e2, e1) = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3159) implies:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | (3160) all_56_5 = e2
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | (3161) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 157.33/22.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | (1608), (2693), (3161), (function-axioms) are
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #900.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | (3162) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3162) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | (3163) all_56_4 = e0 & op(e3, e1) = e0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3146), (3163) are inconsistent by sub-proof
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | #1075.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | (3164) all_56_9 = e0 & op(e3, e0) = e0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3164) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | (3165) op(e3, e0) = e0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (1608), (2687), (3166),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | #913.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3167) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) all_56_5 = e1 & op(e2, e1) = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (118), (125), (128),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (135), (136), (139), (140), (146), (148),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (160), (162), (163), (165),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (170), (190), (191), (192), (200), (203),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (208), (209), (212), (215), (223), (224),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (247), (248), (249), (269),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (1596), (1600), (1601), (1603), (1604),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608), (2689), (2804), (2806), (2807), (2808),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809), (3137), (3138), (3140), (3143), (3168),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | #868.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) all_56_10 = e1 & op(e2, e0) = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3169) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) all_56_10 = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3171) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) all_56_9 = e3 & op(e3, e0) = e3
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3172) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) op(e3, e0) = e3
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3165), (3173), (function-axioms) are
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1441.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) all_56_10 = e3 & op(e2, e0) = e3
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3174) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) all_56_10 = e3
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3170), (3175) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) e3 = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3176) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) e3 = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2851), (3177) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) all_56_8 = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (217), (220), (3146),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160), (3178) are inconsistent by sub-proof
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1071.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (2808), (3140), (3179),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #872.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3180) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3180) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | (3181) all_56_8 = e2 & op(e1, e1) = e2
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3181) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | (3182) op(e1, e1) = e2
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2809), (3182), (function-axioms) are
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | (3183) all_56_14 = e2 & op(e0, e1) = e2
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3183) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | (3184) op(e0, e1) = e2
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3156), (3184), (function-axioms) are
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1315.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (3185) all_56_5 = e1 & op(e2, e1) = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (118), (125), (128),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (133), (135), (136), (139), (140), (146), (148),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (149), (157), (158), (160), (162), (163), (165),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (168), (170), (190), (191), (192), (200), (203),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (206), (208), (209), (212), (215), (223), (224),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (226), (227), (228), (247), (248), (249), (269),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (272), (1596), (1600), (1601), (1603), (1604),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (1608), (2689), (2804), (2806), (2807), (2808),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (2809), (3137), (3138), (3140), (3143), (3185),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | #868.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | (3186) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 157.33/22.78 | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 157.33/22.78 | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | BETA: splitting (3186) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (3187) all_56_8 = e1 & op(e1, e1) = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | ALPHA: (3187) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (3188) op(e1, e1) = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2809), (3188), (function-axioms) are
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1477.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (3189) all_56_14 = e1 & op(e0, e1) = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | ALPHA: (3189) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (3190) all_56_14 = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | (3191) all_56_15 = e0 & op(e0, e0) = e0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | ALPHA: (3191) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | (3192) op(e0, e0) = e0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3140), (3192), (function-axioms) are
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1452.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | (3193) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | ALPHA: (3193) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | (3194) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3194) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | (3195) all_56_12 = e0 & op(e0, e3) = e0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3195) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | (3196) op(e0, e3) = e0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (157), (209), (1596), (2807), (3140),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | (3196), (function-axioms) are inconsistent by
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | sub-proof #866.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | (3197) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3197) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3198) all_56_13 = e0 & op(e0, e2) = e0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3198) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3199) op(e0, e2) = e0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1603), (3199), (function-axioms) are
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1190.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3200) all_56_14 = e0 & op(e0, e1) = e0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3190), (3200) are inconsistent by sub-proof
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | #1102.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | (3201) all_56_11 = e3 & op(e1, e0) = e3
% 157.33/22.78 | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | ALPHA: (3201) implies:
% 157.33/22.78 | | | | | | | | | | | | | | (3202) op(e1, e0) = e3
% 157.33/22.78 | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | REF_CLOSE: (160), (2808), (3202), (function-axioms) are
% 157.33/22.78 | | | | | | | | | | | | | | inconsistent by sub-proof #1355.
% 157.33/22.78 | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | End of split
% 157.33/22.78 | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | (3203) all_30_2 = e2
% 157.33/22.78 | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | COMBINE_EQS: (309), (3203) imply:
% 157.33/22.78 | | | | | | | | | | | (3204) all_10_2 = e2
% 157.33/22.78 | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | COMBINE_EQS: (303), (3204) imply:
% 157.33/22.78 | | | | | | | | | | | (3205) all_42_2 = e2
% 157.33/22.78 | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | REDUCE: (350), (3204) imply:
% 157.33/22.78 | | | | | | | | | | | (3206) ~ (all_52_3 = e2)
% 157.33/22.78 | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | REDUCE: (361), (3204) imply:
% 157.33/22.78 | | | | | | | | | | | (3207) ~ (all_52_7 = e2)
% 157.33/22.78 | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | REDUCE: (368), (3204) imply:
% 157.33/22.78 | | | | | | | | | | | (3208) ~ (all_52_11 = e2)
% 157.33/22.78 | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | REDUCE: (369), (3204) imply:
% 157.33/22.78 | | | | | | | | | | | (3209) ~ (all_52_12 = e2)
% 157.33/22.78 | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | REDUCE: (370), (3204) imply:
% 157.33/22.78 | | | | | | | | | | | (3210) ~ (all_52_13 = e2)
% 157.33/22.78 | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | REDUCE: (371), (3204) imply:
% 157.33/22.78 | | | | | | | | | | | (3211) ~ (all_52_14 = e2)
% 157.33/22.78 | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | REDUCE: (45), (3204) imply:
% 157.33/22.78 | | | | | | | | | | | (3212) op(e0, e0) = e2
% 157.33/22.78 | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | BETA: splitting (79) gives:
% 157.33/22.78 | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | (3213) ~ (all_32_2 = e3)
% 157.33/22.78 | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | REDUCE: (301), (3213) imply:
% 157.33/22.78 | | | | | | | | | | | | (3214) ~ (all_4_2 = e3)
% 157.33/22.78 | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | BETA: splitting (194) gives:
% 157.33/22.78 | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | (3215) all_54_10 = e3
% 157.33/22.78 | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | REF_CLOSE: (335), (3214), (3215) are inconsistent by
% 157.33/22.78 | | | | | | | | | | | | | sub-proof #1479.
% 157.33/22.78 | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | (3216) ~ (all_54_10 = e3)
% 157.33/22.78 | | | | | | | | | | | | | (3217) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 157.33/22.78 | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | BETA: splitting (3217) gives:
% 157.33/22.78 | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | (3218) all_54_10 = e2
% 157.33/22.78 | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (3218) are inconsistent by sub-proof
% 157.33/22.78 | | | | | | | | | | | | | | #1478.
% 157.33/22.78 | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | (3219) ~ (all_54_10 = e2)
% 157.33/22.78 | | | | | | | | | | | | | | (3220) all_54_10 = e1 | all_54_10 = e0
% 157.33/22.78 | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | BETA: splitting (3220) gives:
% 157.33/22.78 | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | (3221) all_54_10 = e1
% 157.33/22.78 | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | COMBINE_EQS: (335), (3221) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | (3222) all_4_2 = e1
% 157.33/22.78 | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | SIMP: (3222) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | (3223) all_4_2 = e1
% 157.33/22.78 | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | REDUCE: (360), (3223) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | (3224) ~ (all_52_6 = e1)
% 157.33/22.78 | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | REDUCE: (363), (3223) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | (3225) ~ (all_52_9 = e1)
% 157.33/22.78 | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | REDUCE: (3214), (3223) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | (3226) ~ (e3 = e1)
% 157.33/22.78 | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | REDUCE: (36), (3223) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | (3227) op(e1, e1) = e1
% 157.33/22.78 | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 157.33/22.78 | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | (3228) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 157.33/22.78 | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1608), (2689), (3228),
% 157.33/22.78 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.78 | | | | | | | | | | | | | | | | #912.
% 157.33/22.78 | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | (3229) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 157.33/22.78 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 157.33/22.78 | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | BETA: splitting (3229) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | (3230) all_56_7 = e1 & op(e1, e2) = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | ALPHA: (3230) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | (3231) op(e1, e2) = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3224), (3231), (function-axioms) are
% 157.33/22.78 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 157.33/22.78 | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | (3232) all_56_13 = e1 & op(e0, e2) = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | ALPHA: (3232) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | (3233) all_56_13 = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | (3234) op(e0, e2) = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | (3235) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 157.33/22.78 | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (1608), (2687), (3235),
% 157.33/22.78 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.33/22.78 | | | | | | | | | | | | | | | | | | #913.
% 157.33/22.78 | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | (3236) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 157.33/22.78 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 157.33/22.78 | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | BETA: splitting (3236) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (3237) all_56_5 = e1 & op(e2, e1) = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3225), (3237), (function-axioms) are
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (3238) all_56_10 = e1 & op(e2, e0) = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | ALPHA: (3238) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (3239) all_56_10 = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (3240) op(e2, e0) = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e1,
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (3234) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (3241) all_52_7 = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (3240) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (3242) all_52_13 = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3241) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (3243) ~ (all_52_3 = e1)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | REDUCE: (125), (3241) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (3244) ~ (all_52_11 = e1)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | SIMP: (3244) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | (3245) ~ (all_52_11 = e1)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | (3246) ~ (all_42_2 = e2)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (3205), (3246) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | (3247) $false
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | CLOSE: (3247) is inconsistent.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | (3248) ( ~ (all_42_0 = e1) & op(e2, e0) = all_42_0 &
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | $i(all_42_0)) | ( ~ (all_42_1 = e3) & op(e2, e2)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1611) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | (3249) ~ (all_26_0 = e1) & op(e0, e2) = all_26_0 &
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | $i(all_26_0)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3249) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | (3250) ~ (all_26_0 = e1)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | (3251) op(e0, e2) = all_26_0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3234), (3250), (3251), (function-axioms) are
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #911.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | (3252) ~ (all_26_1 = e3) & op(e0, e0) = all_26_1 &
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3252) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | (3253) ~ (all_26_1 = e3)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | (3254) op(e0, e0) = all_26_1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3248) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3255) ~ (all_42_0 = e1) & op(e2, e0) = all_42_0 &
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | $i(all_42_0)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3255) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3256) ~ (all_42_0 = e1)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3257) op(e2, e0) = all_42_0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_42_0,
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (3240), (3257) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3258) all_42_0 = e1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3256), (3258) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3259) $false
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3259) is inconsistent.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3260) ~ (all_42_1 = e3) & op(e2, e2) = all_42_1 &
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3260) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3261) ~ (all_42_1 = e3)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3262) op(e2, e2) = all_42_1
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_26_1,
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (3212), (3254) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3263) all_26_1 = e2
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_42_1,
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (1608), (3262) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3264) all_42_1 = e0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3253), (3263) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | (3265) ~ (e3 = e2)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | (3266) all_54_1 = e3
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (3266) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | (3267) all_52_4 = e3
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3267) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | (3268) all_52_4 = e3
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (3268) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | (3269) ~ (all_52_8 = e3)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3269) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | (3270) ~ (all_52_8 = e3)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3268) imply:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | (3271) ~ (all_52_12 = e3)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3271) implies:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | (3272) ~ (all_52_12 = e3)
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | (3273) all_54_3 = e3
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3272), (3273) are inconsistent by
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1249.
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | (3274) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | (3275) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3275) gives:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (3276) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3276) implies:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (3277) op(e3, e3) = all_57_26
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (3278) op(e3, all_57_26) = e3
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3274) gives:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3279) all_54_3 = e2
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3279) imply:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3280) all_52_12 = e2
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3209), (3280) imply:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3281) $false
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3281) is inconsistent.
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3282) all_54_3 = e1 | all_54_3 = e0
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3282) gives:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3283) all_54_3 = e1
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3283) imply:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3284) all_52_12 = e1
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2691), (3284) imply:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3285) $false
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3285) is inconsistent.
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3286) all_54_3 = e0
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3286) imply:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3287) all_52_12 = e0
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (3287) imply:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3288) ~ (all_52_8 = e0)
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3289) all_54_2 = e3
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (3270), (3289) are inconsistent by
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1068.
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3290) ~ (all_54_2 = e3)
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3291) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3292) all_54_6 = e3
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (3292) imply:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3293) all_52_9 = e3
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3293) implies:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3294) all_52_9 = e3
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (3294) imply:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3295) ~ (all_52_11 = e3)
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3295) implies:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3296) ~ (all_52_11 = e3)
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3297) all_54_14 = e3
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (3296), (3297) are inconsistent by
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1390.
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3298) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3298) gives:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3299) all_54_14 = e2
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (3208), (3299) are inconsistent by
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1091.
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3300) all_54_14 = e1 | all_54_14 = e0
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3300) gives:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3301) all_54_14 = e1
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (3301) imply:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3302) all_52_11 = e1
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3245), (3302) imply:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3303) $false
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3303) is inconsistent.
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e3, e3, simplifying with (2693), (3277)
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3304) all_57_26 = e1
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3278), (3304) imply:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3305) op(e3, e1) = e3
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3270), (3305), (function-axioms) are
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3306) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (261), (271), (1604), (2690), (3225),
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3288), (3291), (3306) are inconsistent by
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #948.
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (3307) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3307) implies:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (3308) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1603), (3212), (3308), (function-axioms)
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1189.
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | (3309) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3309) gives:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (3310) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2693), (3270), (3310), (function-axioms)
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1127.
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.33/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (3311) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3311) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (3312) (all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1608), (3240), (3312), (function-axioms) are
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | (3313) ~ (all_54_1 = e3)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (272), (3313) imply:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | (3314) ~ (all_52_4 = e3)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | (3315) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3315) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | (3316) all_56_1 = e3 & op(e3, e2) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3316) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | (3317) op(e3, e2) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3314), (3317), (function-axioms) are
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1394.
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | (3318) all_56_3 = e3 & op(e2, e2) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3318) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | (3319) op(e2, e2) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3261), (3262), (3319), (function-axioms) are
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #865.
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | (3320) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3320) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | (3321) all_56_7 = e3 & op(e1, e2) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3321) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | (3322) all_56_7 = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (3323) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3323) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3324) all_56_1 = e2 & op(e3, e2) = e2
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3324) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3325) all_56_1 = e2
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3326) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3326) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3327) all_56_6 = e2 & op(e1, e3) = e2
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3327) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3328) all_56_6 = e2
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3329) op(e1, e3) = e2
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3330) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (1608), (2693), (3330), (function-axioms)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #907.
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3331) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3331) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3332) all_56_6 = e0 & op(e1, e3) = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608), (3325), (3328), (3332), (function-axioms)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #926.
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3333) all_56_12 = e0 & op(e0, e3) = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3333) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3334) op(e0, e3) = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3335) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3335) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3336) all_56_6 = e0 & op(e1, e3) = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608), (3325), (3328), (3336), (function-axioms)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #926.
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3337) all_56_7 = e0 & op(e1, e2) = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3337) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3338) op(e1, e2) = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1602), (3338), (function-axioms) are
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1050.
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3339) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3339) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3340) all_56_8 = e0 & op(e1, e1) = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3340) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3341) op(e1, e1) = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3227), (3341), (function-axioms) are
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1455.
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3342) all_56_11 = e0 & op(e1, e0) = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3342) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3343) all_56_11 = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3344) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3344) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3345) all_56_0 = e3 & op(e3, e3) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3345) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3346) op(e3, e3) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2693), (3346), (function-axioms) are
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3347) all_56_2 = e3 & op(e2, e3) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3347) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348) all_56_2 = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3349) op(e2, e3) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3350) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3350) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3351) all_56_9 = e3 & op(e3, e0) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3351) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3352) all_56_9 = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3353) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3353) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3354) all_56_12 = e3 & op(e0, e3) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3354) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3355) op(e0, e3) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3334), (3355), (function-axioms) are
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1131.
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3356) all_56_13 = e3 & op(e0, e2) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3356) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3357) all_56_13 = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3233), (3357) imply:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3358) e3 = e1
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3352), (3358) imply:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3359) all_56_9 = e1
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (212), (3212), (3239), (3343),
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3359), (function-axioms) are inconsistent by
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1094.
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3360) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3360) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3361) all_56_14 = e3 & op(e0, e1) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3361) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3362) all_56_14 = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3363) op(e0, e1) = e3
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3364) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3364) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3365) all_56_4 = e0 & op(e3, e1) = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3365) implies:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3366) op(e3, e1) = e0
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3367) gives:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3368) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) op(e3, e3) = all_57_26
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) op(e3, all_57_26) = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) all_54_4 = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (3371) imply:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3372) all_52_1 = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3372) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3373) all_52_1 = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3373) imply:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3374) ~ (all_52_3 = e3)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3374) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) ~ (all_52_3 = e3)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3376) all_54_12 = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3375), (3376) are inconsistent by
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #864.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3377) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3377) gives:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3378) all_54_12 = e2
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (3206), (3378) are inconsistent by
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1361.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3379) all_54_12 = e1 | all_54_12 = e0
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26, e3, e3, simplifying with (2693), (3369)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3380) all_57_26 = e1
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3370), (3380) imply:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3381) op(e3, e1) = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (139), (169), (190), (247), (249), (3208),
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243), (3245), (3379), (3381), (function-axioms)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #861.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3382) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (269), (1600), (2687), (3329),
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3382), (function-axioms) are inconsistent by
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #874.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3383) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3384) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1603), (3212), (3384), (function-axioms)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1189.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3385) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3385) gives:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3386) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3386) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3387) (all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2693), (3366), (3387), (function-axioms) are
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #902.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3388) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3388) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3389) op(e0, e1) = all_57_24
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3390) op(e0, e3) = all_57_18
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3391) op(e0, all_57_24) = e1
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3243), (3363), (3389), (3390), (3391),
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1028.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3392) all_56_5 = e0 & op(e2, e1) = e0
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3392) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3393) op(e2, e1) = e0
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (1604), (3393), (function-axioms) are
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1105.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3394) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (3227), (3362), (3394),
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #860.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395) all_56_15 = e3 & op(e0, e0) = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3395) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3396) op(e0, e0) = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3253), (3254), (3396), (function-axioms) are
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #859.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3397) all_56_10 = e3 & op(e2, e0) = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3397) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3398) all_56_10 = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (222), (223), (1608),
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348), (3349), (3398), (function-axioms) are
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #993.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3399) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3399) gives:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3400) all_56_11 = e3 & op(e1, e0) = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3400) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3401) all_56_11 = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3343), (3401) are inconsistent by sub-proof
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1445.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3402) all_56_15 = e3 & op(e0, e0) = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3402) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3403) op(e0, e0) = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3253), (3254), (3403), (function-axioms) are
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #859.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3404) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3404) gives:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3405) all_56_6 = e3 & op(e1, e3) = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3405) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3406) all_56_6 = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3328), (3406) imply:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3407) e3 = e2
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3407) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3408) e3 = e2
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3322), (3408) imply:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3409) all_56_7 = e2
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (170), (228), (1608), (3233),
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3314), (3409), (function-axioms) are inconsistent
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #932.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3410) all_56_12 = e3 & op(e0, e3) = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3410) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3411) op(e0, e3) = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3334), (3411), (function-axioms) are
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1131.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3412) all_56_7 = e2 & op(e1, e2) = e2
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3412) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3413) all_56_7 = e2
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (170), (228), (1608), (3233),
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3314), (3413), (function-axioms) are inconsistent
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #932.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3414) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (160), (375), (3211), (3414),
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1156.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3415) all_56_3 = e2 & op(e2, e2) = e2
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3415) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3416) op(e2, e2) = e2
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1608), (3416), (function-axioms) are
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (3417) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3417) gives:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3418) all_56_7 = e2 & op(e1, e2) = e2
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3418) implies:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3419) all_56_7 = e2
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (170), (228), (1608), (3233),
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3314), (3419), (function-axioms) are inconsistent
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #932.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3420) all_56_13 = e2 & op(e0, e2) = e2
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3207), (3420), (function-axioms) are
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1259.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | (3421) all_56_13 = e3 & op(e0, e2) = e3
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3233), (3421) are inconsistent by sub-proof
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | | #1022.
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | (3422) all_54_10 = e0
% 157.47/22.80 | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (3422) are inconsistent by sub-proof
% 157.47/22.80 | | | | | | | | | | | | | | | #1332.
% 157.47/22.80 | | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | End of split
% 157.47/22.80 | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | (3423) all_32_2 = e3
% 157.47/22.80 | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | COMBINE_EQS: (301), (3423) imply:
% 157.47/22.80 | | | | | | | | | | | | (3424) all_4_2 = e3
% 157.47/22.80 | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | SIMP: (3424) implies:
% 157.47/22.80 | | | | | | | | | | | | (3425) all_4_2 = e3
% 157.47/22.80 | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | REDUCE: (362), (3425) imply:
% 157.47/22.80 | | | | | | | | | | | | (3426) ~ (all_52_8 = e3)
% 157.47/22.80 | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | REDUCE: (36), (3425) imply:
% 157.47/22.80 | | | | | | | | | | | | (3427) op(e1, e1) = e3
% 157.47/22.80 | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | BETA: splitting (239) gives:
% 157.47/22.80 | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | Case 1:
% 157.47/22.80 | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | (3428) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 157.47/22.80 | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 157.47/22.80 | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 157.47/22.80 | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 157.47/22.80 | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 157.47/22.80 | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 157.47/22.80 | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 157.47/22.80 | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 157.47/22.80 | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 157.47/22.80 | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 157.47/22.80 | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 157.47/22.80 | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 157.47/22.80 | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 157.47/22.80 | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 157.47/22.80 | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 157.47/22.80 | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 157.47/22.80 | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 157.47/22.80 | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 157.47/22.80 | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 157.47/22.80 | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 157.47/22.80 | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 157.47/22.80 | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 157.47/22.80 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 157.47/22.80 | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 157.47/22.80 | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 157.47/22.80 | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 157.47/22.80 | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 157.47/22.80 | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | BETA: splitting (3428) gives:
% 157.47/22.80 | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | Case 1:
% 157.47/22.80 | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | (3429) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 157.47/22.80 | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 157.47/22.80 | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 157.47/22.80 | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 157.47/22.80 | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 157.47/22.80 | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 157.47/22.80 | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 157.47/22.80 | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 157.47/22.80 | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 157.47/22.80 | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 157.47/22.80 | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 157.47/22.80 | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 157.47/22.80 | | | | | | | | | | | | | | $i(all_57_31)))
% 157.47/22.80 | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | ALPHA: (3429) implies:
% 157.47/22.80 | | | | | | | | | | | | | | (3430) (all_57_17 = e1 & op(e1, e3) = e1) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 157.47/22.80 | | | | | | | | | | | | | | $i(all_57_30))
% 157.47/22.80 | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | REF_CLOSE: (163), (2688), (3427), (3430), (function-axioms)
% 157.47/22.80 | | | | | | | | | | | | | | are inconsistent by sub-proof #1108.
% 157.47/22.80 | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | Case 2:
% 157.47/22.80 | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | (3431) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 157.47/22.80 | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 157.47/22.80 | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 157.47/22.80 | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 157.47/22.80 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 157.47/22.80 | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 157.47/22.80 | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 157.47/22.80 | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 157.47/22.80 | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 157.47/22.80 | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 157.47/22.80 | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 157.47/22.80 | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 157.47/22.80 | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 157.47/22.80 | | | | | | | | | | | | | | $i(all_57_31)))
% 157.47/22.80 | | | | | | | | | | | | | |
% 157.47/22.80 | | | | | | | | | | | | | | ALPHA: (3431) implies:
% 157.47/22.81 | | | | | | | | | | | | | | (3432) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 157.47/22.81 | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 157.47/22.81 | | | | | | | | | | | | | | $i(all_57_31))
% 157.47/22.81 | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | REF_CLOSE: (158), (1603), (3212), (3432), (function-axioms)
% 157.47/22.81 | | | | | | | | | | | | | | are inconsistent by sub-proof #1189.
% 157.47/22.81 | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | (3433) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 157.47/22.81 | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 157.47/22.81 | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 157.47/22.81 | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 157.47/22.81 | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 157.47/22.81 | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 157.47/22.81 | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 157.47/22.81 | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 157.47/22.81 | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 157.47/22.81 | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 157.47/22.81 | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 157.47/22.81 | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 157.47/22.81 | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 157.47/22.81 | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 157.47/22.81 | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 157.47/22.81 | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 157.47/22.81 | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 157.47/22.81 | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 157.47/22.81 | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 157.47/22.81 | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 157.47/22.81 | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 157.47/22.81 | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 157.47/22.81 | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 157.47/22.81 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 157.47/22.81 | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 157.47/22.81 | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 157.47/22.81 | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 157.47/22.81 | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 157.47/22.81 | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | BETA: splitting (3433) gives:
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | (3434) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 157.47/22.81 | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 157.47/22.81 | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 157.47/22.81 | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 157.47/22.81 | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 157.47/22.81 | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 157.47/22.81 | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 157.47/22.81 | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 157.47/22.81 | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 157.47/22.81 | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 157.47/22.81 | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 157.47/22.81 | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 157.47/22.81 | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 157.47/22.81 | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 157.47/22.81 | | | | | | | | | | | | | | $i(all_57_31)))
% 157.47/22.81 | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | REF_CLOSE: (169), (2693), (3426), (3434), (function-axioms)
% 157.47/22.81 | | | | | | | | | | | | | | are inconsistent by sub-proof #1127.
% 157.47/22.81 | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | (3435) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 157.47/22.81 | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 157.47/22.81 | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 157.47/22.81 | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 157.47/22.81 | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 157.47/22.81 | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 157.47/22.81 | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 157.47/22.81 | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 157.47/22.81 | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 157.47/22.81 | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 157.47/22.81 | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 157.47/22.81 | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 157.47/22.81 | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 157.47/22.81 | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 157.47/22.81 | | | | | | | | | | | | | | $i(all_57_30)))
% 157.47/22.81 | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | ALPHA: (3435) implies:
% 157.47/22.81 | | | | | | | | | | | | | | (3436) (all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 157.47/22.81 | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 157.47/22.81 | | | | | | | | | | | | | | $i(all_57_28))
% 157.47/22.81 | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | REF_CLOSE: (164), (1608), (3210), (3436), (function-axioms)
% 157.47/22.81 | | | | | | | | | | | | | | are inconsistent by sub-proof #858.
% 157.47/22.81 | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | |
% 157.47/22.81 | | | | | | | | End of split
% 157.47/22.81 | | | | | | | |
% 157.47/22.81 | | | | | | | End of split
% 157.47/22.81 | | | | | | |
% 157.47/22.81 | | | | | | Case 2:
% 157.47/22.81 | | | | | | |
% 157.47/22.81 | | | | | | | (3437) all_16_2 = e3
% 157.47/22.81 | | | | | | | (3438) ( ~ (all_16_0 = e1) & op(e3, e2) = all_16_0 &
% 157.47/22.81 | | | | | | | $i(all_16_0)) | ( ~ (all_16_1 = e0) & op(e3, e3) =
% 157.47/22.81 | | | | | | | all_16_1 & $i(all_16_1))
% 157.47/22.81 | | | | | | |
% 157.47/22.81 | | | | | | | COMBINE_EQS: (328), (3437) imply:
% 157.47/22.81 | | | | | | | (3439) all_6_2 = e3
% 157.47/22.81 | | | | | | |
% 157.47/22.81 | | | | | | | COMBINE_EQS: (332), (3439) imply:
% 157.47/22.81 | | | | | | | (3440) all_38_2 = e3
% 157.47/22.81 | | | | | | |
% 157.47/22.81 | | | | | | | REDUCE: (351), (3439) imply:
% 157.47/22.81 | | | | | | | (3441) ~ (all_52_4 = e3)
% 157.47/22.81 | | | | | | |
% 157.47/22.81 | | | | | | | REDUCE: (353), (3439) imply:
% 157.47/22.81 | | | | | | | (3442) ~ (all_52_6 = e3)
% 157.47/22.81 | | | | | | |
% 157.47/22.81 | | | | | | | REDUCE: (355), (3439) imply:
% 157.47/22.81 | | | | | | | (3443) ~ (all_52_7 = e3)
% 157.47/22.81 | | | | | | |
% 157.47/22.81 | | | | | | | REDUCE: (357), (3439) imply:
% 157.47/22.81 | | | | | | | (3444) ~ (all_52_9 = e3)
% 157.47/22.81 | | | | | | |
% 157.47/22.81 | | | | | | | REDUCE: (359), (3439) imply:
% 157.47/22.81 | | | | | | | (3445) ~ (all_52_13 = e3)
% 157.47/22.81 | | | | | | |
% 157.47/22.81 | | | | | | | REDUCE: (39), (3439) imply:
% 157.47/22.81 | | | | | | | (3446) op(e2, e2) = e3
% 157.47/22.81 | | | | | | |
% 157.47/22.81 | | | | | | | BETA: splitting (73) gives:
% 157.47/22.81 | | | | | | |
% 157.47/22.81 | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | |
% 157.47/22.81 | | | | | | | | (3447) ~ (all_28_2 = e1)
% 157.47/22.81 | | | | | | | |
% 157.47/22.81 | | | | | | | | REDUCE: (315), (3447) imply:
% 157.47/22.81 | | | | | | | | (3448) ~ (all_14_2 = e1)
% 157.47/22.81 | | | | | | | |
% 157.47/22.81 | | | | | | | | BETA: splitting (76) gives:
% 157.47/22.81 | | | | | | | |
% 157.47/22.81 | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | |
% 157.47/22.81 | | | | | | | | | (3449) ~ (all_30_2 = e2)
% 157.47/22.81 | | | | | | | | |
% 157.47/22.81 | | | | | | | | | REDUCE: (309), (3449) imply:
% 157.47/22.81 | | | | | | | | | (3450) ~ (all_10_2 = e2)
% 157.47/22.81 | | | | | | | | |
% 157.47/22.81 | | | | | | | | | BETA: splitting (79) gives:
% 157.47/22.81 | | | | | | | | |
% 157.47/22.81 | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | (3451) ~ (all_32_2 = e3)
% 157.47/22.81 | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | REDUCE: (301), (3451) imply:
% 157.47/22.81 | | | | | | | | | | (3452) ~ (all_4_2 = e3)
% 157.47/22.81 | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | BETA: splitting (194) gives:
% 157.47/22.81 | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | (3453) all_54_10 = e3
% 157.47/22.81 | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | COMBINE_EQS: (335), (3453) imply:
% 157.47/22.81 | | | | | | | | | | | (3454) all_4_2 = e3
% 157.47/22.81 | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | REDUCE: (3452), (3454) imply:
% 157.47/22.81 | | | | | | | | | | | (3455) $false
% 157.47/22.81 | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | CLOSE: (3455) is inconsistent.
% 157.47/22.81 | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | (3456) ~ (all_54_10 = e3)
% 157.47/22.81 | | | | | | | | | | | (3457) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 157.47/22.81 | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | BETA: splitting (3457) gives:
% 157.47/22.81 | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | (3458) all_54_10 = e2
% 157.47/22.81 | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | COMBINE_EQS: (335), (3458) imply:
% 157.47/22.81 | | | | | | | | | | | | (3459) all_4_2 = e2
% 157.47/22.81 | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | REDUCE: (375), (3459) imply:
% 157.47/22.81 | | | | | | | | | | | | (3460) $false
% 157.47/22.81 | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | CLOSE: (3460) is inconsistent.
% 157.47/22.81 | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | (3461) ~ (all_54_10 = e2)
% 157.47/22.81 | | | | | | | | | | | | (3462) all_54_10 = e1 | all_54_10 = e0
% 157.47/22.81 | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | BETA: splitting (3462) gives:
% 157.47/22.81 | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | (3463) all_54_10 = e1
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | COMBINE_EQS: (335), (3463) imply:
% 157.47/22.81 | | | | | | | | | | | | | (3464) all_4_2 = e1
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | REDUCE: (349), (3464) imply:
% 157.47/22.81 | | | | | | | | | | | | | (3465) ~ (all_52_2 = e1)
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | REDUCE: (360), (3464) imply:
% 157.47/22.81 | | | | | | | | | | | | | (3466) ~ (all_52_6 = e1)
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | REDUCE: (362), (3464) imply:
% 157.47/22.81 | | | | | | | | | | | | | (3467) ~ (all_52_8 = e1)
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | REDUCE: (363), (3464) imply:
% 157.47/22.81 | | | | | | | | | | | | | (3468) ~ (all_52_9 = e1)
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | REDUCE: (3452), (3464) imply:
% 157.47/22.81 | | | | | | | | | | | | | (3469) ~ (e3 = e1)
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | REDUCE: (375), (3464) imply:
% 157.47/22.81 | | | | | | | | | | | | | (3470) ~ (e2 = e1)
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | REDUCE: (36), (3464) imply:
% 157.47/22.81 | | | | | | | | | | | | | (3471) op(e1, e1) = e1
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | BETA: splitting (82) gives:
% 157.47/22.81 | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | (3472) ~ (all_34_2 = e0)
% 157.47/22.81 | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | REDUCE: (313), (3472) imply:
% 157.47/22.81 | | | | | | | | | | | | | | (3473) ~ (all_14_2 = e0)
% 157.47/22.81 | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 157.47/22.81 | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | (3474) all_54_0 = e3
% 157.47/22.81 | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | COMBINE_EQS: (279), (3474) imply:
% 157.47/22.81 | | | | | | | | | | | | | | | (3475) all_14_2 = e3
% 157.47/22.81 | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | SIMP: (3475) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | (3476) all_14_2 = e3
% 157.47/22.81 | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | REDUCE: (347), (3476) imply:
% 157.47/22.81 | | | | | | | | | | | | | | | (3477) ~ (all_52_12 = e3)
% 157.47/22.81 | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | REDUCE: (51), (3476) imply:
% 157.47/22.81 | | | | | | | | | | | | | | | (3478) op(e3, e3) = e3
% 157.47/22.81 | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 157.47/22.81 | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | (3479) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 157.47/22.81 | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 157.47/22.81 | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | BETA: splitting (3479) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | (3480) all_56_12 = e3 & op(e0, e3) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (163), (167),
% 157.47/22.81 | | | | | | | | | | | | | | | | | (229), (231), (233), (377), (3465), (3478),
% 157.47/22.81 | | | | | | | | | | | | | | | | | (3480), (function-axioms) are inconsistent by
% 157.47/22.81 | | | | | | | | | | | | | | | | | sub-proof #855.
% 157.47/22.81 | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | (3481) all_56_13 = e3 & op(e0, e2) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | ALPHA: (3481) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | | | (3482) all_56_13 = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 157.47/22.81 | | | | | | | | | | | | | | | | | (3446), (3482), (function-axioms) are inconsistent
% 157.47/22.81 | | | | | | | | | | | | | | | | | by sub-proof #846.
% 157.47/22.81 | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | (3483) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 157.47/22.81 | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 157.47/22.81 | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | BETA: splitting (3483) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | (3484) all_56_14 = e3 & op(e0, e1) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | ALPHA: (3484) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | | | (3485) op(e0, e1) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | (3486) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 157.47/22.81 | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | BETA: splitting (3486) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | (3487) all_56_6 = e3 & op(e1, e3) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | ALPHA: (3487) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | (3488) all_56_6 = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | (3489) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3489) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | (3490) all_56_9 = e3 & op(e3, e0) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3490) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | (3491) op(e3, e0) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3477), (3491), (function-axioms) are
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1284.
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | (3492) all_56_10 = e3 & op(e2, e0) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3492) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | (3493) all_56_10 = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | (3494) op(e2, e0) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (167), (221),
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | (222), (223), (3446), (3468), (3493), (3494),
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | #843.
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | (3495) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3495) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | (3496) all_56_11 = e3 & op(e1, e0) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3496) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | (3497) all_56_11 = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | (3498) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3498) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3499) all_56_6 = e0 & op(e1, e3) = e0
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3488), (3499) are inconsistent by sub-proof
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | #1036.
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3500) all_56_7 = e0 & op(e1, e2) = e0
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3500) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3501) all_56_7 = e0
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | (3502) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3502) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | | (3503) all_56_6 = e2 & op(e1, e3) = e2
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3488), (3503) are inconsistent by sub-proof
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | | #1328.
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | | (3504) all_56_7 = e2 & op(e1, e2) = e2
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3504) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | | (3505) all_56_7 = e2
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3501), (3505) are inconsistent by sub-proof
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | | #842.
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | (3506) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (375), (3497), (3506),
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | | #840.
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | (3507) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3507) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3508) all_56_8 = e0 & op(e1, e1) = e0
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3508) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3509) op(e1, e1) = e0
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3471), (3509), (function-axioms) are
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1455.
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3510) all_56_11 = e0 & op(e1, e0) = e0
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3497), (3510) are inconsistent by sub-proof
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | #839.
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | (3511) all_56_15 = e3 & op(e0, e0) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3511) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | (3512) op(e0, e0) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (376), (3512), (function-axioms) are
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | (3513) all_56_7 = e3 & op(e1, e2) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | ALPHA: (3513) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | (3514) op(e1, e2) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3442), (3514), (function-axioms) are
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1268.
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.81 | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | (3515) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 157.47/22.81 | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 157.47/22.81 | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | BETA: splitting (3515) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | (3516) all_56_8 = e3 & op(e1, e1) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | ALPHA: (3516) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | (3517) op(e1, e1) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3471), (3517), (function-axioms) are
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1477.
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | (3518) all_56_11 = e3 & op(e1, e0) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | ALPHA: (3518) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | (3519) op(e1, e0) = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | (3520) ~ (all_40_2 = e1)
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (307), (3520) imply:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | (3521) ~ (all_10_2 = e1)
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | (3522) all_54_15 = e3
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (376), (3522) are inconsistent by sub-proof
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | #1265.
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | (3523) ~ (all_54_15 = e3)
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | (3524) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3524) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | (3525) all_54_15 = e2
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (3450), (3525) are inconsistent by
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | (3526) ~ (all_54_15 = e2)
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | (3527) all_54_15 = e1 | all_54_15 = e0
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3527) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3528) all_54_15 = e1
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (3521), (3528) are inconsistent by
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1213.
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3529) all_54_15 = e0
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3529) imply:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3530) all_10_2 = e0
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3530) implies:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3531) all_10_2 = e0
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (3531) imply:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3532) ~ (all_52_3 = e0)
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (3531) imply:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3533) ~ (e3 = e0)
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3450), (3531) imply:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3534) ~ (e2 = e0)
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3521), (3531) imply:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3535) ~ (e1 = e0)
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (3531) imply:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | (3536) op(e0, e0) = e0
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (3537) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3537) gives:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (3538) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (163), (3465), (3471), (3536), (3538),
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | #838.
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (3539) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3539) gives:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (3540) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (375), (3536), (3540),
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | #837.
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (3541) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (51), (377), (3446), (3536), (3541),
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | #835.
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (3542) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3542) gives:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (3543) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3543) gives:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (3544) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3478), (3536), (3544),
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | #973.
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (3545) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3545) gives:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3546) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3546) implies:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3547) op(e0, e0) = e1
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3536), (3547), (function-axioms) are
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1452.
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3548) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3477), (3548), (function-axioms) are
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1283.
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (3549) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3549) gives:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (3550) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (160), (3478), (3519), (3550),
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | #834.
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (3551) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3551) gives:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3552) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3552) implies:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3553) op(e1, e1) = e0
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3471), (3553), (function-axioms) are
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1455.
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3554) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3554) gives:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3555) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3555) implies:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3556) op(e2, e2) = e0
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3446), (3556), (function-axioms) are
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3557) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3557) implies:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3558) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3558) gives:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3559) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (36), (158), (159), (189), (246), (350),
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (361), (375), (376), (3446), (3450), (3471),
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3521), (3532), (3558), (3559), (function-axioms)
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #831.
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3560) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3560) gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3561) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3561) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3562) op(e1, e1) = e2
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (3562), (function-axioms) are
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3563) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3446), (3478), (3563), (function-axioms) are
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #830.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | (3564) all_40_2 = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (3564) imply:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | (3565) all_10_2 = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (3565) imply:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | (3566) ~ (all_52_3 = e1)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (3565) imply:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | (3567) op(e0, e0) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | (3568) all_56_15 = e0 & op(e0, e0) = e0
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3568) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | (3569) op(e0, e0) = e0
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3567), (3569), (function-axioms) are
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1452.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | (3570) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3570) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | (3571) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | (3572) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3572) gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | (3573) all_56_0 = e1 & op(e3, e3) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3573) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | (3574) op(e3, e3) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3478), (3574), (function-axioms) are
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | (3575) all_56_2 = e1 & op(e2, e3) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3575) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | (3576) op(e2, e3) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | (3577) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3577) gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | (3578) all_56_1 = e1 & op(e3, e2) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3578) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | (3579) op(e3, e2) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (3580) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3580) gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3581) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (3446), (3576), (3581),
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | #829.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3582) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3582) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3583) op(e2, e2) = all_57_28
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3584) op(e2, e3) = all_57_16
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3585) op(e2, all_57_28) = e2
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3586) (all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3587) (all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3586) gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3588) all_57_20 = e1 & op(e1, e2) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3588) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3589) op(e1, e2) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3466), (3589), (function-axioms) are
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3590) ~ (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3590) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3591) ~ (all_57_30 = e2)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3592) op(e1, e1) = all_57_30
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3587) gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3593) all_57_19 = e3 & op(e3, e2) = e3
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3593) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3594) op(e3, e2) = e3
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3579), (3594), (function-axioms) are
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1188.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (3471), (3592)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3595) all_57_30 = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (3446), (3583)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3596) all_57_28 = e3
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16, e3, e2, simplifying with (3576), (3584)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3597) all_57_16 = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3470), (3584), (3585), (3596), (3597),
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #828.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (3598) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3598) gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3599) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3485), (3567), (3599), (function-axioms) are
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #826.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3600) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3600) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3601) op(e0, e1) = all_57_24
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3602) op(e0, e3) = all_57_18
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3603) op(e0, all_57_24) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3485), (3566), (3601), (3602), (3603),
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1028.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | (3604) all_56_3 = e1 & op(e2, e2) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3604) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | (3605) op(e2, e2) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3446), (3605), (function-axioms) are
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | (3606) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3606) gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | (3607) all_56_7 = e1 & op(e1, e2) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3607) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | (3608) op(e1, e2) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3466), (3608), (function-axioms) are
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | (3609) all_56_13 = e1 & op(e0, e2) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (208), (209),
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (227), (3446), (3567), (3609),
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | | #821.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | (3610) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3610) gives:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | (3611) all_56_6 = e1 & op(e1, e3) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3611) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | (3612) op(e1, e3) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3465), (3612), (function-axioms) are
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | (3613) all_56_12 = e1 & op(e0, e3) = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3613) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | (3614) all_56_12 = e1
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (208), (209),
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | (376), (3567), (3571), (3614), (function-axioms)
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #817.
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | (3615) all_56_15 = e3 & op(e0, e0) = e3
% 157.47/22.83 | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | ALPHA: (3615) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | | | (3616) op(e0, e0) = e3
% 157.47/22.83 | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (376), (3616), (function-axioms) are
% 157.47/22.83 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 157.47/22.83 | | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | (3617) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 157.47/22.83 | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | REF_CLOSE: (279), (377), (3448), (3473), (3617) are
% 157.47/22.83 | | | | | | | | | | | | | | | inconsistent by sub-proof #1229.
% 157.47/22.83 | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | End of split
% 157.47/22.83 | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | Case 2:
% 157.47/22.83 | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | (3618) all_34_2 = e0
% 157.47/22.83 | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | COMBINE_EQS: (313), (3618) imply:
% 157.47/22.83 | | | | | | | | | | | | | | (3619) all_14_2 = e0
% 157.47/22.83 | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | SIMP: (3619) implies:
% 157.47/22.83 | | | | | | | | | | | | | | (3620) all_14_2 = e0
% 157.47/22.83 | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | REDUCE: (339), (3620) imply:
% 157.47/22.83 | | | | | | | | | | | | | | (3621) ~ (all_52_2 = e0)
% 157.47/22.83 | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | REDUCE: (343), (3620) imply:
% 157.47/22.83 | | | | | | | | | | | | | | (3622) ~ (all_52_4 = e0)
% 157.47/22.83 | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | REDUCE: (345), (3620) imply:
% 157.47/22.83 | | | | | | | | | | | | | | (3623) ~ (all_52_8 = e0)
% 157.47/22.83 | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | REDUCE: (347), (3620) imply:
% 157.47/22.83 | | | | | | | | | | | | | | (3624) ~ (all_52_12 = e0)
% 157.47/22.83 | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | REDUCE: (377), (3620) imply:
% 157.47/22.83 | | | | | | | | | | | | | | (3625) ~ (e2 = e0)
% 157.47/22.83 | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | REDUCE: (3448), (3620) imply:
% 157.47/22.83 | | | | | | | | | | | | | | (3626) ~ (e1 = e0)
% 157.47/22.83 | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | REDUCE: (51), (3620) imply:
% 157.47/22.83 | | | | | | | | | | | | | | (3627) op(e3, e3) = e0
% 157.47/22.83 | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | BETA: splitting (3438) gives:
% 157.47/22.83 | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | Case 1:
% 157.47/22.83 | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | (3628) ~ (all_16_0 = e1) & op(e3, e2) = all_16_0 &
% 157.47/22.83 | | | | | | | | | | | | | | | $i(all_16_0)
% 157.47/22.83 | | | | | | | | | | | | | | |
% 157.47/22.83 | | | | | | | | | | | | | | | ALPHA: (3628) implies:
% 157.47/22.83 | | | | | | | | | | | | | | | (3629) ~ (all_16_0 = e1)
% 157.47/22.83 | | | | | | | | | | | | | | | (3630) op(e3, e2) = all_16_0
% 157.47/22.83 | | | | | | | | | | | | | | |
% 157.68/22.83 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 157.68/22.83 | | | | | | | | | | | | | | | all_16_0, e2, e3, simplifying with (170), (3630)
% 157.68/22.83 | | | | | | | | | | | | | | | gives:
% 157.68/22.83 | | | | | | | | | | | | | | | (3631) all_52_4 = all_16_0
% 157.68/22.83 | | | | | | | | | | | | | | |
% 157.68/22.83 | | | | | | | | | | | | | | | COMBINE_EQS: (272), (3631) imply:
% 157.68/22.83 | | | | | | | | | | | | | | | (3632) all_54_1 = all_16_0
% 157.68/22.83 | | | | | | | | | | | | | | |
% 157.68/22.83 | | | | | | | | | | | | | | | REDUCE: (136), (3631) imply:
% 157.68/22.83 | | | | | | | | | | | | | | | (3633) ~ (all_52_6 = all_16_0)
% 157.68/22.83 | | | | | | | | | | | | | | |
% 157.68/22.83 | | | | | | | | | | | | | | | SIMP: (3633) implies:
% 157.68/22.83 | | | | | | | | | | | | | | | (3634) ~ (all_52_6 = all_16_0)
% 157.68/22.83 | | | | | | | | | | | | | | |
% 157.68/22.83 | | | | | | | | | | | | | | | REDUCE: (135), (3631) imply:
% 157.68/22.83 | | | | | | | | | | | | | | | (3635) ~ (all_52_7 = all_16_0)
% 157.68/22.83 | | | | | | | | | | | | | | |
% 157.68/22.83 | | | | | | | | | | | | | | | SIMP: (3635) implies:
% 157.68/22.83 | | | | | | | | | | | | | | | (3636) ~ (all_52_7 = all_16_0)
% 157.68/22.83 | | | | | | | | | | | | | | |
% 157.68/22.83 | | | | | | | | | | | | | | | REDUCE: (134), (3631) imply:
% 157.68/22.83 | | | | | | | | | | | | | | | (3637) ~ (all_52_8 = all_16_0)
% 157.68/22.83 | | | | | | | | | | | | | | |
% 157.68/22.83 | | | | | | | | | | | | | | | SIMP: (3637) implies:
% 157.68/22.83 | | | | | | | | | | | | | | | (3638) ~ (all_52_8 = all_16_0)
% 157.68/22.83 | | | | | | | | | | | | | | |
% 157.68/22.83 | | | | | | | | | | | | | | | REDUCE: (133), (3631) imply:
% 157.68/22.83 | | | | | | | | | | | | | | | (3639) ~ (all_52_12 = all_16_0)
% 157.68/22.83 | | | | | | | | | | | | | | |
% 157.68/22.83 | | | | | | | | | | | | | | | SIMP: (3639) implies:
% 157.68/22.83 | | | | | | | | | | | | | | | (3640) ~ (all_52_12 = all_16_0)
% 157.68/22.83 | | | | | | | | | | | | | | |
% 157.68/22.83 | | | | | | | | | | | | | | | REDUCE: (3441), (3631) imply:
% 157.68/22.83 | | | | | | | | | | | | | | | (3641) ~ (all_16_0 = e3)
% 157.68/22.83 | | | | | | | | | | | | | | |
% 157.68/22.83 | | | | | | | | | | | | | | | REDUCE: (3622), (3631) imply:
% 157.68/22.83 | | | | | | | | | | | | | | | (3642) ~ (all_16_0 = e0)
% 157.68/22.83 | | | | | | | | | | | | | | |
% 157.68/22.83 | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 157.68/22.83 | | | | | | | | | | | | | | |
% 157.68/22.83 | | | | | | | | | | | | | | | Case 1:
% 157.68/22.83 | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | (3643) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 157.68/22.84 | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | BETA: splitting (3643) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | (3644) all_56_0 = e1 & op(e3, e3) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | ALPHA: (3644) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | (3645) op(e3, e3) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3627), (3645), (function-axioms) are
% 157.68/22.84 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1387.
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | (3646) all_56_1 = e1 & op(e3, e2) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | ALPHA: (3646) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | (3647) op(e3, e2) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | REF_CLOSE: (3629), (3630), (3647), (function-axioms) are
% 157.68/22.84 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #816.
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | End of split
% 157.68/22.84 | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | (3648) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 157.68/22.84 | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | BETA: splitting (3648) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | (3649) all_56_4 = e1 & op(e3, e1) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | ALPHA: (3649) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | (3650) all_56_4 = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | (3651) all_54_1 = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3632), (3651) imply:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | (3652) all_16_0 = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | REDUCE: (3641), (3652) imply:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | (3653) $false
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | CLOSE: (3653) is inconsistent.
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | (3654) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | (3655) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 157.68/22.84 | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (3441), (3627), (3655),
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | #815.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | (3656) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 157.68/22.84 | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (3656) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | (3657) all_56_4 = e3 & op(e3, e1) = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | ALPHA: (3657) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | (3658) all_56_4 = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3650), (3658) are inconsistent by sub-proof
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | #1257.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | (3659) all_56_9 = e3 & op(e3, e0) = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (202), (271), (3467), (3623),
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | (3629), (3632), (3638), (3642), (3654), (3659),
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | #811.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | End of split
% 157.68/22.84 | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | End of split
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | End of split
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | (3660) all_56_9 = e1 & op(e3, e0) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | ALPHA: (3660) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | (3661) all_56_9 = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | (3662) all_54_1 = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3632), (3662) imply:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | (3663) all_16_0 = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | REDUCE: (3641), (3663) imply:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | (3664) $false
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | CLOSE: (3664) is inconsistent.
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | (3665) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | (3666) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 157.68/22.84 | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (3441), (3627), (3666),
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | #815.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | (3667) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 157.68/22.84 | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (3667) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | (3668) all_56_4 = e3 & op(e3, e1) = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | ALPHA: (3668) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | (3669) op(e3, e1) = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | (3670) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3670) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | (3671) all_56_0 = e2 & op(e3, e3) = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3671) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | (3672) op(e3, e3) = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3627), (3672), (function-axioms) are
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1228.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | (3673) all_56_1 = e2 & op(e3, e2) = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3673) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | (3674) all_56_1 = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | (3675) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3675) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | (3676) all_56_9 = e3 & op(e3, e0) = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (202), (271), (3467), (3623),
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | (3629), (3632), (3638), (3642), (3665), (3676),
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | #811.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | (3677) all_56_10 = e3 & op(e2, e0) = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3677) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | (3678) all_56_10 = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | (3679) op(e2, e0) = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (167), (221),
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (3446), (3468), (3678), (3679),
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | #843.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | (3680) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3680) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | (3681) all_56_11 = e3 & op(e1, e0) = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3681) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | (3682) all_56_11 = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | (3683) op(e1, e0) = e3
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | (3684) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3684) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (3685) all_56_9 = e2 & op(e3, e0) = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3685) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (3686) all_56_9 = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3661), (3686) are inconsistent by sub-proof
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | #1220.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) all_56_10 = e2 & op(e2, e0) = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3687) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) all_56_10 = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) op(e2, e0) = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3690) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) all_56_1 = e1 & op(e3, e2) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3691) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) all_56_1 = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) op(e3, e2) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (3627), (3670), (3692),
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1044.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3694) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) all_56_4 = e2 & op(e3, e1) = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3695) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) all_56_4 = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (3627), (3661), (3693),
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696), (function-axioms) are inconsistent by
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1042.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) all_56_9 = e2 & op(e3, e0) = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3661), (3697) are inconsistent by sub-proof
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1065.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) all_56_3 = e1 & op(e2, e2) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3698) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) op(e2, e2) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3446), (3699), (function-axioms) are
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3700) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) all_56_7 = e1 & op(e1, e2) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3701) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) op(e1, e2) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3466), (3702), (function-axioms) are
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) all_56_13 = e1 & op(e0, e2) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3703) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) all_56_13 = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) op(e0, e2) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3706) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) all_56_2 = e1 & op(e2, e3) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3707) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) all_56_2 = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) op(e2, e3) = e1
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3710) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) all_56_2 = e0 & op(e2, e3) = e0
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3711) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) all_56_2 = e0
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3708), (3712) are inconsistent by sub-proof
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1258.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) all_56_3 = e0 & op(e2, e2) = e0
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3713) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) op(e2, e2) = e0
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3446), (3714), (function-axioms) are
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3715) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) all_56_5 = e0 & op(e2, e1) = e0
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3716) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) all_56_5 = e0
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3665) gives:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) all_54_1 = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3632), (3718) imply:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) all_16_0 = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3719) implies:
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) all_16_0 = e2
% 157.68/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3634), (3720) imply:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) ~ (all_52_6 = e2)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3636), (3720) imply:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) ~ (all_52_7 = e2)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3638), (3720) imply:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) ~ (all_52_8 = e2)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3640), (3720) imply:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) ~ (all_52_12 = e2)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) all_54_9 = e3
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (3442), (3725) are inconsistent by
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1254.
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) ~ (all_54_9 = e3)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3727) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) all_54_9 = e2
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (3721), (3728) are inconsistent by
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1253.
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) ~ (all_54_9 = e2)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) all_54_9 = e1 | all_54_9 = e0
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3731) all_54_2 = e3
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (3731) imply:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732) all_52_8 = e3
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3732) implies:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733) all_52_8 = e3
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (3733) imply:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3734) ~ (all_52_11 = e3)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3734) implies:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3735) ~ (all_52_11 = e3)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (3733) imply:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736) ~ (all_52_12 = e3)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3736) implies:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737) ~ (all_52_12 = e3)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3738) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3738) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3739) all_56_6 = e0 & op(e1, e3) = e0
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3739) implies:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3740) op(e1, e3) = e0
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3621), (3740), (function-axioms) are
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1051.
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3741) all_56_7 = e0 & op(e1, e2) = e0
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3741) implies:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3742) op(e1, e2) = e0
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3743) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3743) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3744) all_56_12 = e3 & op(e0, e3) = e3
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3744) implies:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745) all_56_12 = e3
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3746) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3746) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3747) all_56_12 = e2 & op(e0, e3) = e2
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3747) implies:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748) all_56_12 = e2
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3745), (3748) are inconsistent by sub-proof
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1195.
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749) all_56_13 = e2 & op(e0, e2) = e2
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3722), (3749), (function-axioms) are
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1259.
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3750) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3750) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3751) all_56_14 = e2 & op(e0, e1) = e2
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3751) implies:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752) all_56_14 = e2
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3753) all_56_15 = e0 & op(e0, e0) = e0
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3753) implies:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3754) op(e0, e0) = e0
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3755) all_54_3 = e3
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3737), (3755) are inconsistent by
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1249.
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3756) ~ (all_54_3 = e3)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3730) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) all_54_9 = e1
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (3466), (3758) are inconsistent by
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1087.
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) all_54_9 = e0
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (3759) imply:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) all_52_6 = e0
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3760) implies:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) all_52_6 = e0
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3761) imply:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) ~ (all_52_7 = e0)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3762) implies:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) ~ (all_52_7 = e0)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3442), (3761) imply:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) ~ (e3 = e0)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3765) gives:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (3446), (3709), (3766),
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #829.
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3767) implies:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) op(e2, all_57_27) = e0
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) (all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) (all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3770) gives:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) all_57_20 = e1 & op(e1, e2) = e1
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3772) implies:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) op(e1, e2) = e1
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (191), (248), (3443), (3722),
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763), (3773), (function-axioms) are inconsistent
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #916.
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) ~ (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3774) implies:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) ~ (all_57_30 = e2)
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) op(e1, e1) = all_57_30
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3757) gives:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) all_54_3 = e2
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3724), (3777) are inconsistent by
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1089.
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) ~ (all_54_3 = e2)
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) all_54_3 = e1 | all_54_3 = e0
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3779) gives:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) all_54_3 = e1
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3780) imply:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_52_12 = e1
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3781) implies:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) all_52_12 = e1
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (3782) imply:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) ~ (all_10_2 = e1)
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3783) implies:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) ~ (all_10_2 = e1)
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3785) gives:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (163), (3465), (3471), (3754), (3786),
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #838.
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3787) gives:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3788) gives:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3789) implies:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) op(e1, e1) = e2
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3775), (3776), (3790), (function-axioms) are
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1397.
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3791) implies:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) op(e0, e0) = e2
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3705), (3769), (3792), (function-axioms) are
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1117.
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3793) gives:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3794) implies:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) ~ (all_57_19 = e3)
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) op(e3, e3) = e2
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3771), (3795), (3796), (function-axioms) are
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3797) gives:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3798) implies:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) op(e0, e0) = e2
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3705), (3769), (3799), (function-axioms) are
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1117.
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3800) implies:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) op(e2, e2) = e1
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3446), (3801), (function-axioms) are
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3802) gives:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3803) gives:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3804) gives:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3805) implies:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) op(e0, e0) = e1
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (209), (225),
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (3446), (3704), (3752), (3806),
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #822.
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3807) implies:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) op(e3, e3) = e1
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3627), (3808), (function-axioms) are
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1387.
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3809) gives:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3810) implies:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) op(e0, e0) = e1
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (206), (209), (225),
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (3446), (3704), (3752), (3811),
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #822.
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3737), (3812), (function-axioms) are
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1283.
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3813) gives:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3814) gives:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3815) implies:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) all_57_27 = e2
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) ~ (all_57_28 = e0)
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) op(e2, e2) = all_57_28
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3768), (3816) imply:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) op(e2, e2) = e0
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3817), (3818), (3819), (function-axioms) are
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1060.
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3820) implies:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) op(e1, e0) = e1
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (3683), (3821), (function-axioms) are
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1217.
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3822) gives:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3823) implies:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) op(e1, e1) = e0
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3471), (3824), (function-axioms) are
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1455.
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3825) gives:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3826) implies:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) op(e2, e2) = e0
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (3688),
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717), (3827), (function-axioms) are inconsistent
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #809.
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3828) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3829) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3830) all_54_15 = e3
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3830) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3831) all_10_2 = e3
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (3831) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3832) $false
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3832) is inconsistent.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3833) ~ (all_54_15 = e3)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3834) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3834) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3835) all_54_15 = e2
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3835) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3836) all_10_2 = e2
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3450), (3836) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3837) $false
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3837) is inconsistent.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3838) ~ (all_54_15 = e2)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3839) all_54_15 = e1 | all_54_15 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3839) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3840) all_54_15 = e1
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3840) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3841) all_10_2 = e1
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3784), (3841) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3842) $false
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3842) is inconsistent.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843) all_54_15 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3843) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3844) all_10_2 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (3844) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3845) ~ (all_52_3 = e0)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (3844) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3846) ~ (all_52_11 = e0)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (36), (157), (158), (159), (189), (246),
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (361), (375), (376), (3446), (3450),
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3471), (3784), (3829), (3845), (3846),
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #808.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3847) all_54_3 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3624), (3847) are inconsistent by
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #947.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3848) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3848) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3849) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3849) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3850) op(e1, e0) = all_57_29
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3851) op(e1, all_57_29) = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3757) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3852) all_54_3 = e2
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3724), (3852) are inconsistent by
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1089.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3853) all_54_3 = e1 | all_54_3 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3853) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3854) all_54_3 = e1
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3854) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3855) all_52_12 = e1
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3855) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3856) all_52_12 = e1
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3856) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857) ~ (all_52_13 = e1)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3857) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3858) ~ (all_52_13 = e1)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3856) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3859) ~ (all_52_14 = e1)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3859) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3860) ~ (all_52_14 = e1)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (3856) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3861) ~ (all_10_2 = e1)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3861) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3862) ~ (all_10_2 = e1)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3863) all_54_15 = e3
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3863) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3864) all_10_2 = e3
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (3864) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3865) $false
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3865) is inconsistent.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3866) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3866) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867) all_54_15 = e2
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (3450), (3867) are inconsistent by
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868) all_54_15 = e1 | all_54_15 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3868) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3869) all_54_15 = e1
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (3862), (3869) are inconsistent by
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1213.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3870) all_54_15 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (3870) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3871) all_10_2 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3871) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3872) all_10_2 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (3872) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3873) ~ (all_52_13 = e0)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3874) all_54_7 = e3
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3445), (3874) are inconsistent by
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #891.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3875) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3875) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3876) all_54_7 = e2
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (3876) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877) all_52_13 = e2
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3877) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3878) all_52_13 = e2
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3878) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3879) ~ (all_52_14 = e2)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3879) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3880) ~ (all_52_14 = e2)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3881) all_54_11 = e3
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (3881) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3882) all_52_14 = e3
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3882) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3883) all_52_14 = e3
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3883) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3884) ~ (all_52_2 = e3)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3885) all_54_8 = e3
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (3884), (3885) are inconsistent by
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1388.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3886) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3886) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29, e0, e1, simplifying with (3683), (3850)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3887) all_57_29 = e3
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3851), (3887) imply:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3888) op(e1, e3) = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (3621), (3888), (function-axioms) are
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1051.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3889) all_54_8 = e1 | all_54_8 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (162), (259), (3465), (3742), (3889),
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #807.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3890) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (162), (195), (250), (258), (3442), (3721),
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3742), (3860), (3880), (3890), (function-axioms)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #806.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3891) all_54_7 = e1 | all_54_7 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (3858), (3873), (3891) are inconsistent by
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1350.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3892) all_54_3 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (3624), (3892) are inconsistent by
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #947.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3893) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3893) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3894) (all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3627), (3737), (3894), (function-axioms)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #805.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3895) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3895) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3896) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (3704), (3745), (3752), (3896) are
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1404.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3897) all_56_15 = e2 & op(e0, e0) = e2
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3897) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3898) op(e0, e0) = e2
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (3450), (3898), (function-axioms) are
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1471.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3899) all_56_13 = e3 & op(e0, e2) = e3
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3899) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3900) all_56_13 = e3
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (3446), (3674), (3742),
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3900), (function-axioms) are inconsistent by
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #851.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3901) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (376), (3735), (3901),
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #969.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3902) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3902) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3903) all_56_8 = e0 & op(e1, e1) = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3903) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3904) op(e1, e1) = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3471), (3904), (function-axioms) are
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1455.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3905) all_56_11 = e0 & op(e1, e0) = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3905) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3906) all_56_11 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3682), (3906) are inconsistent by sub-proof
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1445.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (3467), (3623), (3723), (3907) are
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #814.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3908) all_54_1 = e1 | all_54_1 = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3629), (3632), (3642), (3908) are inconsistent by
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #812.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3909) all_56_10 = e0 & op(e2, e0) = e0
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3688), (3909) are inconsistent by sub-proof
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1199.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3910) all_56_3 = e1 & op(e2, e2) = e1
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3910) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3911) op(e2, e2) = e1
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3446), (3911), (function-axioms) are
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3912) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3912) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3913) all_56_5 = e1 & op(e2, e1) = e1
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3468), (3913), (function-axioms) are
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3914) all_56_10 = e1 & op(e2, e0) = e1
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3914) implies:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3915) op(e2, e0) = e1
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3689), (3915), (function-axioms) are
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #903.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | (3916) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3916) gives:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3917) all_56_11 = e2 & op(e1, e0) = e2
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3682), (3917) are inconsistent by sub-proof
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | #841.
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 157.71/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3918) all_56_15 = e2 & op(e0, e0) = e2
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3918) implies:
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3919) op(e0, e0) = e2
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (3450), (3919), (function-axioms) are
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1471.
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | (3920) all_56_15 = e3 & op(e0, e0) = e3
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3920) implies:
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | (3921) op(e0, e0) = e3
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (376), (3921), (function-axioms) are
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | (3922) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3922) gives:
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | (3923) all_56_4 = e2 & op(e3, e1) = e2
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3923) implies:
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | (3924) op(e3, e1) = e2
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3669), (3924), (function-axioms) are
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1461.
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | (3925) all_56_9 = e2 & op(e3, e0) = e2
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3925) implies:
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | (3926) all_56_9 = e2
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3661), (3926) are inconsistent by sub-proof
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | | #1220.
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | (3927) all_56_9 = e3 & op(e3, e0) = e3
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (168), (202), (271), (3467), (3623),
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | (3629), (3632), (3638), (3642), (3665), (3927),
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | | #811.
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.90 | | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.90 | | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | | End of split
% 158.09/22.90 | | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | | End of split
% 158.09/22.90 | | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | End of split
% 158.09/22.90 | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | Case 2:
% 158.09/22.90 | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | (3928) ~ (all_16_1 = e0) & op(e3, e3) = all_16_1 &
% 158.09/22.90 | | | | | | | | | | | | | | | $i(all_16_1)
% 158.09/22.90 | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | | REF_CLOSE: (3627), (3928), (function-axioms) are inconsistent
% 158.09/22.90 | | | | | | | | | | | | | | | by sub-proof #804.
% 158.09/22.90 | | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | | End of split
% 158.09/22.90 | | | | | | | | | | | | | |
% 158.09/22.90 | | | | | | | | | | | | | End of split
% 158.09/22.90 | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | Case 2:
% 158.09/22.91 | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | (3929) all_54_10 = e0
% 158.09/22.91 | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | COMBINE_EQS: (335), (3929) imply:
% 158.09/22.91 | | | | | | | | | | | | | (3930) all_4_2 = e0
% 158.09/22.91 | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | REDUCE: (372), (3930) imply:
% 158.09/22.91 | | | | | | | | | | | | | (3931) $false
% 158.09/22.91 | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | CLOSE: (3931) is inconsistent.
% 158.09/22.91 | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | End of split
% 158.09/22.91 | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | End of split
% 158.09/22.91 | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | End of split
% 158.09/22.91 | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | Case 2:
% 158.09/22.91 | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | (3932) all_32_2 = e3
% 158.09/22.91 | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | COMBINE_EQS: (301), (3932) imply:
% 158.09/22.91 | | | | | | | | | | (3933) all_4_2 = e3
% 158.09/22.91 | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | REDUCE: (365), (3933) imply:
% 158.09/22.91 | | | | | | | | | | (3934) ~ (all_52_11 = e3)
% 158.09/22.91 | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | REDUCE: (367), (3933) imply:
% 158.09/22.91 | | | | | | | | | | (3935) ~ (all_52_14 = e3)
% 158.09/22.91 | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | REDUCE: (36), (3933) imply:
% 158.09/22.91 | | | | | | | | | | (3936) op(e1, e1) = e3
% 158.09/22.91 | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | BETA: splitting (212) gives:
% 158.09/22.91 | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | (3937) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 158.09/22.91 | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 158.09/22.91 | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | BETA: splitting (3937) gives:
% 158.09/22.91 | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | (3938) all_56_9 = e3 & op(e3, e0) = e3
% 158.09/22.91 | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | ALPHA: (3938) implies:
% 158.09/22.91 | | | | | | | | | | | | (3939) op(e3, e0) = e3
% 158.09/22.91 | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | BETA: splitting (209) gives:
% 158.09/22.91 | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | (3940) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 158.09/22.91 | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 158.09/22.91 | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | BETA: splitting (3940) gives:
% 158.09/22.91 | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | (3941) all_56_12 = e3 & op(e0, e3) = e3
% 158.09/22.91 | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | ALPHA: (3941) implies:
% 158.09/22.91 | | | | | | | | | | | | | | (3942) op(e0, e3) = e3
% 158.09/22.91 | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 158.09/22.91 | | | | | | | | | | | | | | e3, e0, simplifying with (159), (3942) gives:
% 158.09/22.91 | | | | | | | | | | | | | | (3943) all_52_3 = e3
% 158.09/22.91 | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 158.09/22.91 | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (3939) gives:
% 158.09/22.91 | | | | | | | | | | | | | | (3944) all_52_12 = e3
% 158.09/22.91 | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | REDUCE: (148), (3943) imply:
% 158.09/22.91 | | | | | | | | | | | | | | (3945) ~ (all_52_1 = e3)
% 158.09/22.91 | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | REDUCE: (120), (3944) imply:
% 158.09/22.91 | | | | | | | | | | | | | | (3946) ~ (all_52_8 = e3)
% 158.09/22.91 | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | REDUCE: (347), (3944) imply:
% 158.09/22.91 | | | | | | | | | | | | | | (3947) ~ (all_14_2 = e3)
% 158.09/22.91 | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | SIMP: (3947) implies:
% 158.09/22.91 | | | | | | | | | | | | | | (3948) ~ (all_14_2 = e3)
% 158.09/22.91 | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | REDUCE: (369), (3944) imply:
% 158.09/22.91 | | | | | | | | | | | | | | (3949) ~ (all_10_2 = e3)
% 158.09/22.91 | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 158.09/22.91 | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | (3950) all_54_0 = e3
% 158.09/22.91 | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | COMBINE_EQS: (279), (3950) imply:
% 158.09/22.91 | | | | | | | | | | | | | | | (3951) all_14_2 = e3
% 158.09/22.91 | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | REDUCE: (3948), (3951) imply:
% 158.09/22.91 | | | | | | | | | | | | | | | (3952) $false
% 158.09/22.91 | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | CLOSE: (3952) is inconsistent.
% 158.09/22.91 | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | Case 2:
% 158.09/22.91 | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | (3953) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 158.09/22.91 | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | BETA: splitting (3953) gives:
% 158.09/22.91 | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | (3954) all_54_0 = e2
% 158.09/22.91 | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (3954) imply:
% 158.09/22.91 | | | | | | | | | | | | | | | | (3955) all_14_2 = e2
% 158.09/22.91 | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | REDUCE: (377), (3955) imply:
% 158.09/22.91 | | | | | | | | | | | | | | | | (3956) $false
% 158.09/22.91 | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | CLOSE: (3956) is inconsistent.
% 158.09/22.91 | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | Case 2:
% 158.09/22.91 | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | (3957) ~ (all_54_0 = e2)
% 158.09/22.91 | | | | | | | | | | | | | | | | (3958) all_54_0 = e1 | all_54_0 = e0
% 158.09/22.91 | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.09/22.91 | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | (3959) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.09/22.91 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.09/22.91 | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.09/22.91 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.09/22.91 | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.09/22.91 | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.09/22.91 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.09/22.91 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.09/22.91 | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.09/22.91 | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | BETA: splitting (3959) gives:
% 158.09/22.91 | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | (3960) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.09/22.91 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.09/22.91 | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.09/22.91 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.09/22.91 | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (376), (3446), (3936), (3960),
% 158.09/22.91 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.91 | | | | | | | | | | | | | | | | | | #803.
% 158.09/22.91 | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.91 | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | (3961) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.09/22.91 | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.09/22.91 | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.09/22.91 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.09/22.91 | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | BETA: splitting (3961) gives:
% 158.09/22.91 | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | (3962) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.09/22.91 | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (3450), (3936), (3962),
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | #1286.
% 158.09/22.91 | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | (3963) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.09/22.91 | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (3963) gives:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | (3964) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | ALPHA: (3964) implies:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | (3965) op(e3, e3) = e2
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (377), (3965), (function-axioms) are
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | (3966) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (3446), (3450), (3966),
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | #802.
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.91 | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.91 | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | End of split
% 158.09/22.91 | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.91 | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | (3967) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.09/22.91 | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.09/22.91 | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.09/22.91 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.09/22.91 | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.09/22.91 | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.09/22.91 | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.09/22.91 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.09/22.91 | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.09/22.91 | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.09/22.91 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.09/22.91 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.09/22.91 | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | BETA: splitting (3967) gives:
% 158.09/22.91 | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | (3968) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.09/22.91 | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.09/22.91 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.09/22.91 | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | BETA: splitting (3968) gives:
% 158.09/22.91 | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | (3969) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.09/22.91 | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (3969) gives:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | (3970) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | ALPHA: (3970) implies:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | (3971) op(e3, e1) = e3
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3946), (3971), (function-axioms) are
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | (3972) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | ALPHA: (3972) implies:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | (3973) op(e3, e3) = e1
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (3448), (3973), (function-axioms) are
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1341.
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.91 | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | (3974) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.09/22.91 | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (3974) gives:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | (3975) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | ALPHA: (3975) implies:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | (3976) all_57_31 = e1
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | (3977) all_57_23 = e2
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | (3978) ~ (all_57_24 = e0)
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | (3979) op(e0, e0) = e1
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | (3980) op(e2, e1) = e2
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3958) gives:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | (3981) all_54_0 = e1
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (3448), (3981) are inconsistent by
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | sub-proof #1389.
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | (3982) all_54_0 = e0
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (3982) imply:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | (3983) all_14_2 = e0
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | SIMP: (3983) implies:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | (3984) all_14_2 = e0
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (337), (3984) imply:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | (3985) ~ (all_52_1 = e0)
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | (3986) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3986) gives:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.91 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | (3987) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3987) implies:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | (3988) (all_57_17 = e1 & op(e1, e3) = e1) | ( ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3988) gives:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | (3989) all_57_17 = e1 & op(e1, e3) = e1
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3989) implies:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | (3990) op(e1, e3) = e1
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (3990) gives:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | (3991) all_52_2 = e1
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (3980) gives:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | (3992) all_52_9 = e2
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3992) imply:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | (3993) ~ (all_52_1 = e2)
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (200), (269), (3945), (3985),
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | (3990), (3993), (function-axioms) are inconsistent
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #965.
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | (3994) ~ (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3994) implies:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | (3995) ~ (all_57_30 = e3)
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | (3996) op(e1, e1) = all_57_30
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3936), (3995), (3996), (function-axioms) are
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1288.
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | (3997) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3997) implies:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | (3998) op(e2, all_57_23) = e1
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3977), (3998) imply:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | (3999) op(e2, e2) = e1
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3446), (3999), (function-axioms) are
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | (4000) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3976), (3978), (3979), (4000), (function-axioms)
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1342.
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (4001) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3446), (3936), (4001), (function-axioms) are
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #801.
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (4002) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.09/22.92 | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.09/22.92 | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.09/22.92 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.09/22.92 | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.09/22.92 | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | BETA: splitting (4002) gives:
% 158.09/22.92 | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | (4003) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3939), (4003), (function-axioms) are inconsistent
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | by sub-proof #799.
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | (4004) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (4004) gives:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (4005) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | ALPHA: (4005) implies:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (4006) op(e1, e1) = e0
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3936), (4006), (function-axioms) are
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (4007) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (51), (377), (3446), (3448),
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (3936), (3942), (4007), (function-axioms) are
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | (4008) all_56_13 = e3 & op(e0, e2) = e3
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | ALPHA: (4008) implies:
% 158.09/22.92 | | | | | | | | | | | | | | (4009) all_56_13 = e3
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 158.09/22.92 | | | | | | | | | | | | | | (3446), (4009), (function-axioms) are inconsistent
% 158.09/22.92 | | | | | | | | | | | | | | by sub-proof #846.
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | (4010) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 158.09/22.92 | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.09/22.92 | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | REF_CLOSE: (45), (157), (376), (3934), (4010),
% 158.09/22.92 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.92 | | | | | | | | | | | | | #969.
% 158.09/22.92 | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | (4011) all_56_10 = e3 & op(e2, e0) = e3
% 158.09/22.92 | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | ALPHA: (4011) implies:
% 158.09/22.92 | | | | | | | | | | | | (4012) op(e2, e0) = e3
% 158.09/22.92 | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | REF_CLOSE: (164), (3445), (4012), (function-axioms) are
% 158.09/22.92 | | | | | | | | | | | | inconsistent by sub-proof #795.
% 158.09/22.92 | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | (4013) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 158.09/22.92 | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | REF_CLOSE: (45), (160), (376), (3935), (4013),
% 158.09/22.92 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.92 | | | | | | | | | | | #1292.
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | |
% 158.09/22.92 | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | |
% 158.09/22.92 | | | | | | | | | (4014) all_30_2 = e2
% 158.09/22.92 | | | | | | | | |
% 158.09/22.92 | | | | | | | | | COMBINE_EQS: (309), (4014) imply:
% 158.09/22.92 | | | | | | | | | (4015) all_10_2 = e2
% 158.09/22.92 | | | | | | | | |
% 158.09/22.92 | | | | | | | | | COMBINE_EQS: (303), (4015) imply:
% 158.09/22.92 | | | | | | | | | (4016) all_42_2 = e2
% 158.09/22.92 | | | | | | | | |
% 158.09/22.92 | | | | | | | | | REDUCE: (350), (4015) imply:
% 158.09/22.92 | | | | | | | | | (4017) ~ (all_52_3 = e2)
% 158.09/22.92 | | | | | | | | |
% 158.09/22.92 | | | | | | | | | REDUCE: (361), (4015) imply:
% 158.09/22.92 | | | | | | | | | (4018) ~ (all_52_7 = e2)
% 158.09/22.92 | | | | | | | | |
% 158.09/22.92 | | | | | | | | | REDUCE: (369), (4015) imply:
% 158.09/22.92 | | | | | | | | | (4019) ~ (all_52_12 = e2)
% 158.09/22.92 | | | | | | | | |
% 158.09/22.92 | | | | | | | | | REDUCE: (370), (4015) imply:
% 158.09/22.92 | | | | | | | | | (4020) ~ (all_52_13 = e2)
% 158.09/22.92 | | | | | | | | |
% 158.09/22.92 | | | | | | | | | REDUCE: (371), (4015) imply:
% 158.09/22.92 | | | | | | | | | (4021) ~ (all_52_14 = e2)
% 158.09/22.92 | | | | | | | | |
% 158.09/22.92 | | | | | | | | | REDUCE: (376), (4015) imply:
% 158.09/22.92 | | | | | | | | | (4022) ~ (e3 = e2)
% 158.09/22.92 | | | | | | | | |
% 158.09/22.92 | | | | | | | | | REDUCE: (45), (4015) imply:
% 158.09/22.92 | | | | | | | | | (4023) op(e0, e0) = e2
% 158.09/22.92 | | | | | | | | |
% 158.09/22.92 | | | | | | | | | BETA: splitting (94) gives:
% 158.09/22.92 | | | | | | | | |
% 158.09/22.92 | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | (4024) ~ (all_42_2 = e2)
% 158.09/22.92 | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | REDUCE: (4016), (4024) imply:
% 158.09/22.92 | | | | | | | | | | (4025) $false
% 158.09/22.92 | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | CLOSE: (4025) is inconsistent.
% 158.09/22.92 | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | (4026) ( ~ (all_42_0 = e1) & op(e2, e0) = all_42_0 &
% 158.09/22.92 | | | | | | | | | | $i(all_42_0)) | ( ~ (all_42_1 = e3) & op(e2, e2)
% 158.09/22.92 | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 158.09/22.92 | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | BETA: splitting (4026) gives:
% 158.09/22.92 | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | (4027) ~ (all_42_0 = e1) & op(e2, e0) = all_42_0 &
% 158.09/22.92 | | | | | | | | | | | $i(all_42_0)
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | ALPHA: (4027) implies:
% 158.09/22.92 | | | | | | | | | | | (4028) ~ (all_42_0 = e1)
% 158.09/22.92 | | | | | | | | | | | (4029) op(e2, e0) = all_42_0
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 158.09/22.92 | | | | | | | | | | | all_42_0, e0, e2, simplifying with (164), (4029)
% 158.09/22.92 | | | | | | | | | | | gives:
% 158.09/22.92 | | | | | | | | | | | (4030) all_52_13 = all_42_0
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | COMBINE_EQS: (260), (4030) imply:
% 158.09/22.92 | | | | | | | | | | | (4031) all_54_7 = all_42_0
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | REDUCE: (117), (4030) imply:
% 158.09/22.92 | | | | | | | | | | | (4032) ~ (all_52_9 = all_42_0)
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | REDUCE: (113), (4030) imply:
% 158.09/22.92 | | | | | | | | | | | (4033) ~ (all_52_12 = all_42_0)
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | REDUCE: (110), (4030) imply:
% 158.09/22.92 | | | | | | | | | | | (4034) ~ (all_52_14 = all_42_0)
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | SIMP: (4034) implies:
% 158.09/22.92 | | | | | | | | | | | (4035) ~ (all_52_14 = all_42_0)
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | REDUCE: (3445), (4030) imply:
% 158.09/22.92 | | | | | | | | | | | (4036) ~ (all_42_0 = e3)
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | REDUCE: (4020), (4030) imply:
% 158.09/22.92 | | | | | | | | | | | (4037) ~ (all_42_0 = e2)
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | BETA: splitting (197) gives:
% 158.09/22.92 | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | (4038) all_54_7 = e3
% 158.09/22.92 | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | COMBINE_EQS: (4031), (4038) imply:
% 158.09/22.92 | | | | | | | | | | | | (4039) all_42_0 = e3
% 158.09/22.92 | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | REDUCE: (4036), (4039) imply:
% 158.09/22.92 | | | | | | | | | | | | (4040) $false
% 158.09/22.92 | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | CLOSE: (4040) is inconsistent.
% 158.09/22.92 | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | (4041) ~ (all_54_7 = e3)
% 158.09/22.92 | | | | | | | | | | | | (4042) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 158.09/22.92 | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | BETA: splitting (4042) gives:
% 158.09/22.92 | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | (4043) all_54_7 = e2
% 158.09/22.92 | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | COMBINE_EQS: (4031), (4043) imply:
% 158.09/22.92 | | | | | | | | | | | | | (4044) all_42_0 = e2
% 158.09/22.92 | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | REDUCE: (4037), (4044) imply:
% 158.09/22.92 | | | | | | | | | | | | | (4045) $false
% 158.09/22.92 | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | CLOSE: (4045) is inconsistent.
% 158.09/22.92 | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | (4046) ~ (all_54_7 = e2)
% 158.09/22.92 | | | | | | | | | | | | | (4047) all_54_7 = e1 | all_54_7 = e0
% 158.09/22.92 | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | BETA: splitting (4047) gives:
% 158.09/22.92 | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | (4048) all_54_7 = e1
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | COMBINE_EQS: (4031), (4048) imply:
% 158.09/22.92 | | | | | | | | | | | | | | (4049) all_42_0 = e1
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | REDUCE: (4028), (4049) imply:
% 158.09/22.92 | | | | | | | | | | | | | | (4050) $false
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | CLOSE: (4050) is inconsistent.
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | (4051) all_54_7 = e0
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | COMBINE_EQS: (4031), (4051) imply:
% 158.09/22.92 | | | | | | | | | | | | | | (4052) all_42_0 = e0
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | REDUCE: (4032), (4052) imply:
% 158.09/22.92 | | | | | | | | | | | | | | (4053) ~ (all_52_9 = e0)
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | REDUCE: (4033), (4052) imply:
% 158.09/22.92 | | | | | | | | | | | | | | (4054) ~ (all_52_12 = e0)
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | REDUCE: (4035), (4052) imply:
% 158.09/22.92 | | | | | | | | | | | | | | (4055) ~ (all_52_14 = e0)
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | REDUCE: (4036), (4052) imply:
% 158.09/22.92 | | | | | | | | | | | | | | (4056) ~ (e3 = e0)
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | REDUCE: (4037), (4052) imply:
% 158.09/22.92 | | | | | | | | | | | | | | (4057) ~ (e2 = e0)
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | REDUCE: (4028), (4052) imply:
% 158.09/22.92 | | | | | | | | | | | | | | (4058) ~ (e1 = e0)
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 158.09/22.92 | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | (4059) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 158.09/22.92 | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 158.09/22.92 | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | BETA: splitting (4059) gives:
% 158.09/22.92 | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | (4060) all_56_2 = e0 & op(e2, e3) = e0
% 158.09/22.92 | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | ALPHA: (4060) implies:
% 158.09/22.92 | | | | | | | | | | | | | | | | (4061) all_56_2 = e0
% 158.09/22.92 | | | | | | | | | | | | | | | | (4062) op(e2, e3) = e0
% 158.09/22.92 | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 158.09/22.92 | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | (4063) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 158.09/22.92 | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 158.09/22.92 | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (51), (167), (377), (4062), (4063),
% 158.09/22.92 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.92 | | | | | | | | | | | | | | | | | #794.
% 158.09/22.92 | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | (4064) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 158.09/22.92 | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | BETA: splitting (4064) gives:
% 158.09/22.92 | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (4065) all_56_6 = e2 & op(e1, e3) = e2
% 158.09/22.92 | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | ALPHA: (4065) implies:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (4066) all_56_6 = e2
% 158.09/22.92 | | | | | | | | | | | | | | | | | | (4067) op(e1, e3) = e2
% 158.09/22.92 | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 158.09/22.92 | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | (4068) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (4068) gives:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (4069) all_56_0 = e1 & op(e3, e3) = e1
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | ALPHA: (4069) implies:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (4070) op(e3, e3) = e1
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (3448), (4070), (function-axioms) are
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1341.
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (4071) all_56_2 = e1 & op(e2, e3) = e1
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | ALPHA: (4071) implies:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (4072) all_56_2 = e1
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4061), (4072) are inconsistent by sub-proof
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | #1258.
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | (4073) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (4073) gives:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (4074) all_56_6 = e1 & op(e1, e3) = e1
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | ALPHA: (4074) implies:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (4075) op(e1, e3) = e1
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4067), (4075), (function-axioms) are
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1171.
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (4076) all_56_12 = e1 & op(e0, e3) = e1
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | ALPHA: (4076) implies:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | (4077) all_56_12 = e1
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.92 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | (4078) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4078) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | (4079) all_56_12 = e3 & op(e0, e3) = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4079) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | (4080) all_56_12 = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4077), (4080) are inconsistent by sub-proof
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | #1300.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | (4081) all_56_13 = e3 & op(e0, e2) = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4081) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | (4082) all_56_13 = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | (3446), (4082), (function-axioms) are inconsistent
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #846.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | (4083) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4083) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | (4084) all_56_14 = e3 & op(e0, e1) = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4084) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | (4085) all_56_14 = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | (4086) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4086) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | (4087) all_56_4 = e0 & op(e3, e1) = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4087) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | (4088) all_56_4 = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | (4089) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4089) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (4090) all_56_0 = e2 & op(e3, e3) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4090) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (4091) op(e3, e3) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (377), (4091), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (4092) all_56_1 = e2 & op(e3, e2) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4092) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (4093) all_56_1 = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4094) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4094) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4095) all_56_0 = e1 & op(e3, e3) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4095) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4096) op(e3, e3) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (229), (233), (235),
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4066), (4077), (4096), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1299.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097) all_56_1 = e1 & op(e3, e2) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4093), (4097) are inconsistent by sub-proof
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #852.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4098) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4098) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4099) all_56_4 = e1 & op(e3, e1) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4099) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4100) all_56_4 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4088), (4100) are inconsistent by sub-proof
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1373.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4101) all_56_9 = e1 & op(e3, e0) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4101) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102) all_56_9 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4103) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4103) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4104) all_56_2 = e2 & op(e2, e3) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4104) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4105) op(e2, e3) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (4062), (4105), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4106) all_56_3 = e2 & op(e2, e2) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4106) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4107) op(e2, e2) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3446), (4107), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4108) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4108) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4109) all_56_5 = e2 & op(e2, e1) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4109) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4110) all_56_5 = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4111) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4111) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4112) all_56_2 = e1 & op(e2, e3) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4061), (4112) are inconsistent by sub-proof
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #793.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4113) all_56_3 = e1 & op(e2, e2) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4113) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4114) op(e2, e2) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3446), (4114), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4115) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4115) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4116) all_56_5 = e1 & op(e2, e1) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4116) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4117) all_56_5 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4110), (4117) are inconsistent by sub-proof
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1208.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4118) all_56_10 = e1 & op(e2, e0) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4118) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4119) all_56_10 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (210),
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (376), (4023), (4102), (4119),
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1093.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4120) all_56_10 = e2 & op(e2, e0) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4120) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4121) op(e2, e0) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4020), (4121), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | (4122) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4122) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (4123) all_56_4 = e2 & op(e3, e1) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4088), (4123) are inconsistent by sub-proof
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | #894.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (4124) all_56_9 = e2 & op(e3, e0) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4124) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (4125) op(e3, e0) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4019), (4125), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1157.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | (4126) all_56_5 = e0 & op(e2, e1) = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4126) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | (4127) op(e2, e1) = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4053), (4127), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1105.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | (4128) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4128) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | (4129) all_56_8 = e0 & op(e1, e1) = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4129) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | (4130) op(e1, e1) = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (372), (4130), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1153.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | (4131) all_56_14 = e0 & op(e0, e1) = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4131) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | (4132) all_56_14 = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4085), (4132) are inconsistent by sub-proof
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | #1031.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | (4133) all_56_15 = e3 & op(e0, e0) = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4133) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | (4134) op(e0, e0) = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4023), (4134), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1173.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | (4135) all_56_12 = e2 & op(e0, e3) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | ALPHA: (4135) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | (4136) op(e0, e3) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (4017), (4136), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 158.09/22.93 | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | (4137) all_56_3 = e0 & op(e2, e2) = e0
% 158.09/22.93 | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | ALPHA: (4137) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | (4138) op(e2, e2) = e0
% 158.09/22.93 | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3446), (4138), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 158.09/22.93 | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | (4139) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 158.09/22.93 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 158.09/22.93 | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | BETA: splitting (4139) gives:
% 158.09/22.93 | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | (4140) all_56_5 = e0 & op(e2, e1) = e0
% 158.09/22.93 | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | ALPHA: (4140) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | (4141) op(e2, e1) = e0
% 158.09/22.93 | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4053), (4141), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1105.
% 158.09/22.93 | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | (4142) all_56_10 = e0 & op(e2, e0) = e0
% 158.09/22.93 | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | ALPHA: (4142) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | (4143) all_56_10 = e0
% 158.09/22.93 | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | (4144) ~ (all_32_2 = e3)
% 158.09/22.93 | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | REDUCE: (301), (4144) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | (4145) ~ (all_4_2 = e3)
% 158.09/22.93 | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | (4146) all_54_10 = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (4145), (4146) are inconsistent by
% 158.09/22.93 | | | | | | | | | | | | | | | | | | sub-proof #1479.
% 158.09/22.93 | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | (4147) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | BETA: splitting (4147) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | (4148) all_54_10 = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (4148) are inconsistent by sub-proof
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | #1478.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | (4149) ~ (all_54_10 = e2)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | (4150) all_54_10 = e1 | all_54_10 = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (4150) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | (4151) all_54_10 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (4151) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | (4152) all_4_2 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | SIMP: (4152) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | (4153) all_4_2 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (4153) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | (4154) ~ (all_52_2 = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (4153) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | (4155) ~ (all_52_6 = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (4153) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | (4156) ~ (all_52_9 = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (4153) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | (4157) ~ (all_52_14 = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | (4158) all_54_11 = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (4158) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | (4159) all_52_14 = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | SIMP: (4159) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | (4160) all_52_14 = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (4160) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | (4161) ~ (all_52_12 = e3)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (4160) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | (4162) op(e1, e0) = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | (4163) all_54_6 = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (4163) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | (4164) all_52_9 = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3444), (4164) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | (4165) $false
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4165) is inconsistent.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | (4166) ~ (all_54_6 = e3)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | (4167) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | (4168) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4168) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | (4169) all_56_2 = e1 & op(e2, e3) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4169) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | (4170) all_56_2 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | (4171) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (146), (167), (261), (377), (4053), (4156),
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | (4167), (4171), (function-axioms) are inconsistent
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #791.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | (4172) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4172) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (4173) all_56_6 = e2 & op(e1, e3) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4173) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (4174) all_56_6 = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (4154), (4155), (4175),
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1083.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4176) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4176) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4177) all_56_8 = e1 & op(e1, e1) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4177) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178) all_56_8 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179) op(e1, e1) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180) all_54_3 = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (4180) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4181) all_52_12 = e3
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4161), (4181) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4182) $false
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4182) is inconsistent.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183) ~ (all_54_3 = e3)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4184) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4184) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4185) all_54_3 = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (4185) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4186) all_52_12 = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4019), (4186) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4187) $false
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4187) is inconsistent.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4188) ~ (all_54_3 = e2)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4189) all_54_3 = e1 | all_54_3 = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4189) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4190) all_54_3 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (4190) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4191) all_52_12 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (4191) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4192) ~ (all_52_4 = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (4191) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193) ~ (all_14_2 = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4161), (4191) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4194) ~ (e3 = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4019), (4191) imply:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4195) ~ (e2 = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4196) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4196) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4197) all_56_2 = e2 & op(e2, e3) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4197) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198) op(e2, e3) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (167), (261), (4053), (4156), (4167),
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198), (function-axioms) are inconsistent by
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #792.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4199) all_56_3 = e2 & op(e2, e2) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4199) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4200) op(e2, e2) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3446), (4200), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4201) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4201) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4202) all_56_5 = e2 & op(e2, e1) = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4202) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4203) all_56_5 = e2
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4204) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4204) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4205) all_56_6 = e0 & op(e1, e3) = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4174), (4205) are inconsistent by sub-proof
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1202.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4206) all_56_7 = e0 & op(e1, e2) = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4206) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4207) all_56_7 = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4208) op(e1, e2) = e0
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4209) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4209) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) all_56_9 = e1 & op(e3, e0) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4210) implies:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4211) all_56_9 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4212) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4212) gives:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213) all_56_1 = e1 & op(e3, e2) = e1
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (4192), (4213), (function-axioms) are
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1141.
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) all_56_3 = e1 & op(e2, e2) = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4214) implies:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) op(e2, e2) = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3446), (4215), (function-axioms) are
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4216) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4216) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4217) all_56_7 = e1 & op(e1, e2) = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4217) implies:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4218) op(e1, e2) = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4208), (4218), (function-axioms) are
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1110.
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219) all_56_13 = e1 & op(e0, e2) = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4219) implies:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220) all_56_13 = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4221) op(e0, e2) = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4222) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4222) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4223) all_56_1 = e2 & op(e3, e2) = e2
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4223) implies:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4224) all_56_1 = e2
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4225) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4225) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4226) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4226) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4227) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (4023), (4179), (4227),
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1172.
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4228) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (4023), (4154), (4228),
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #955.
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4229) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4229) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4230) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (375), (3441), (4230),
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #954.
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4231) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4231) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4232) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4232) implies:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4233) op(e3, e3) = e2
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (377), (4233), (function-axioms) are
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4234) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4234) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4235) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4235) implies:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4236) op(e1, e2) = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (225), (3446), (4220), (4224),
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4236), (function-axioms) are inconsistent by
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #790.
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4237) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4237) implies:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4238) op(e2, e2) = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3446), (4238), (function-axioms) are
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4239) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4239) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4240) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4240) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4241) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4241) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4242) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4242) implies:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4243) op(e0, e0) = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (206), (208),
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (225), (226), (227), (3446), (4017),
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220), (4243), (function-axioms) are inconsistent
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #789.
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4244) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4244) implies:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4245) op(e3, e3) = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (3448), (4245), (function-axioms) are
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1341.
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4246) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4246) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4247) implies:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4248) op(e0, e0) = e1
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (206), (208),
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (225), (226), (227), (3446), (4017),
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220), (4248), (function-axioms) are inconsistent
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #789.
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4249) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4161), (4249), (function-axioms) are
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1283.
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4250) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4250) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4251) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4251) gives:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4252) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4252) implies:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4253) op(e2, e0) = e2
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4020), (4253), (function-axioms) are
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4254) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4255) op(e1, e0) = e1
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (4162), (4255), (function-axioms) are
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1217.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4256) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4256) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4257) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4257) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4258) op(e2, e0) = e2
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4020), (4258), (function-axioms) are
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4259) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4259) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4260) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4260) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261) op(e2, e2) = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3446), (4261), (function-axioms) are
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4262) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4263) op(e0, e0) = all_57_31
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4264) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4265) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4265) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4266) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4266) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4267) all_57_28 = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4268) ~ (all_57_31 = e3)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4269) ~ (all_57_16 = e2)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4270) op(e0, e3) = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4271) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4271) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4272) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4272) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4273) (all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4267), (4269), (4273) are inconsistent by
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #924.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4274) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4274) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4275) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4023), (4221), (4275), (function-axioms) are
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1117.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4276) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4276) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4277) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4277) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4278) op(e1, e2) = all_57_20
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4279) op(e1, all_57_20) = e2
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4167) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4280) all_54_6 = e2
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (4280) imply:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4281) all_52_9 = e2
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4281) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4282) all_52_9 = e2
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (4282) imply:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4283) ~ (all_52_8 = e2)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4284) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4284) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4285) all_56_12 = e1 & op(e0, e3) = e1
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4285) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4286) all_56_12 = e1
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4287) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4287) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4288) all_56_0 = e0 & op(e3, e3) = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4288) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289) op(e3, e3) = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4290) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4290) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4291) all_56_12 = e3 & op(e0, e3) = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4291) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4292) op(e0, e3) = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4270), (4292), (function-axioms) are
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1131.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4293) all_56_13 = e3 & op(e0, e2) = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4293) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4294) all_56_13 = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (3446), (4208), (4224),
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4294), (function-axioms) are inconsistent by
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #851.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4295) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4295) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4296) all_56_14 = e3 & op(e0, e1) = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4296) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4297) all_56_14 = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4298) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (3441), (4289), (4298),
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #815.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4299) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4299) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) all_56_4 = e3 & op(e3, e1) = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4300) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) op(e3, e1) = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (217), (4179), (4203), (4297),
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4301), (function-axioms) are inconsistent by
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #788.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) all_56_9 = e3 & op(e3, e0) = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4302) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4303) op(e3, e0) = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4161), (4303), (function-axioms) are
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1284.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4304) all_56_15 = e3 & op(e0, e0) = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4304) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4305) op(e0, e0) = e3
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4263), (4268), (4305), (function-axioms) are
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1231.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4306) all_56_2 = e0 & op(e2, e3) = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4306) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4307) all_56_2 = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4170), (4307) imply:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4308) e1 = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4211), (4308) imply:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4309) all_56_9 = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (45), (210), (212), (376),
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4023), (4143), (4309), (function-axioms) are
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1096.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4310) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4310) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4311) all_56_6 = e0 & op(e1, e3) = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4311) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4312) all_56_6 = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4174), (4312) are inconsistent by sub-proof
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1305.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4313) all_56_12 = e0 & op(e0, e3) = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4313) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4314) all_56_12 = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4286), (4314) imply:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4315) e1 = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4211), (4315) imply:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4316) all_56_9 = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (45), (210), (212), (376),
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4023), (4143), (4316), (function-axioms) are
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1096.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e2, e1, simplifying with (4208), (4278)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4317) all_57_20 = e0
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4279), (4317) imply:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4318) op(e1, e0) = e2
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4021), (4318), (function-axioms) are
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1240.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4319) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4319) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4320) all_56_14 = e1 & op(e0, e1) = e1
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4320) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4321) all_56_14 = e1
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4322) gives:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4323) all_56_4 = e2 & op(e3, e1) = e2
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4323) implies:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4324) op(e3, e1) = e2
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4283), (4324), (function-axioms) are
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (217), (220), (4178),
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179), (4203), (4321), (function-axioms) are
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #785.
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4325) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4325) gives:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4326) all_56_8 = e2 & op(e1, e1) = e2
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4326) implies:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4327) op(e1, e1) = e2
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (4327), (function-axioms) are
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4328) all_56_14 = e2 & op(e0, e1) = e2
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4321), (4328) are inconsistent by sub-proof
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1129.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329) all_56_15 = e1 & op(e0, e0) = e1
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4329) implies:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4330) op(e0, e0) = e1
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (206), (208),
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (225), (226), (227), (3446), (4017),
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220), (4330), (function-axioms) are inconsistent
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #789.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4331) all_54_6 = e1 | all_54_6 = e0
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (4053), (4156), (4331) are inconsistent by
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #964.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (4023), (4157), (4179), (4221), (4332),
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1115.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (377), (4179), (4333),
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1336.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4334) gives:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4335) implies:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4336) op(e1, e1) = e2
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (4336), (function-axioms) are
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4337) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (3446), (3448), (4337),
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #798.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4338) all_56_3 = e2 & op(e2, e2) = e2
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4338) implies:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4339) op(e2, e2) = e2
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3446), (4339), (function-axioms) are
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4340) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4340) gives:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4341) all_56_7 = e2 & op(e1, e2) = e2
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4341) implies:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342) all_56_7 = e2
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4207), (4342) imply:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343) e2 = e0
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4343) imply:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4344) $false
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4344) is inconsistent.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4345) all_56_13 = e2 & op(e0, e2) = e2
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4018), (4345), (function-axioms) are
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1259.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346) all_56_10 = e1 & op(e2, e0) = e1
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4346) implies:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347) op(e2, e0) = e1
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4028), (4029), (4347), (function-axioms) are
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1119.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4348) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4348) gives:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4349) all_56_11 = e1 & op(e1, e0) = e1
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4349) implies:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4350) op(e1, e0) = e1
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (4162), (4350), (function-axioms) are
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1217.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4351) all_56_15 = e1 & op(e0, e0) = e1
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4351) implies:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4352) op(e0, e0) = e1
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4023), (4352), (function-axioms) are
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1431.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4353) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4353) gives:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4354) all_56_8 = e0 & op(e1, e1) = e0
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4354) implies:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4355) op(e1, e1) = e0
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4179), (4355), (function-axioms) are
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1455.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4356) all_56_11 = e0 & op(e1, e0) = e0
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4356) implies:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4357) all_56_11 = e0
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4358) op(e1, e0) = e0
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (45), (210), (212), (376),
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4023), (4143), (4357), (4358), (function-axioms)
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #783.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4359) all_56_10 = e2 & op(e2, e0) = e2
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4359) implies:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4360) op(e2, e0) = e2
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4020), (4360), (function-axioms) are
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4361) all_54_3 = e0
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.09/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (4361) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4362) all_52_12 = e0
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4054), (4362) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4363) $false
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4363) is inconsistent.
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4364) all_56_11 = e1 & op(e1, e0) = e1
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4364) implies:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4365) op(e1, e0) = e1
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (4162), (4365), (function-axioms) are
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1217.
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4366) all_56_12 = e2 & op(e0, e3) = e2
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4366) implies:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4367) op(e0, e3) = e2
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (4017), (4367), (function-axioms) are
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | (4368) all_56_3 = e1 & op(e2, e2) = e1
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4368) implies:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | (4369) op(e2, e2) = e1
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3446), (4369), (function-axioms) are
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | (4370) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4370) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | (4371) all_56_5 = e1 & op(e2, e1) = e1
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4156), (4371), (function-axioms) are
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | (4372) all_56_10 = e1 & op(e2, e0) = e1
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4372) implies:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | (4373) op(e2, e0) = e1
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4028), (4029), (4373), (function-axioms) are
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1119.
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | (4374) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (4021), (4055), (4157), (4374) are
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #782.
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | (4375) all_54_10 = e0
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (4375) are inconsistent by sub-proof
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | #1332.
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | End of split
% 158.31/22.96 | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.96 | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | (4376) all_32_2 = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (4376) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | (4377) all_4_2 = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | SIMP: (4377) implies:
% 158.31/22.96 | | | | | | | | | | | | | | | | | (4378) all_4_2 = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | COMBINE_EQS: (295), (4378) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | (4379) all_50_2 = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | REDUCE: (349), (4378) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | (4380) ~ (all_52_2 = e3)
% 158.31/22.96 | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | REDUCE: (365), (4378) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | (4381) ~ (all_52_11 = e3)
% 158.31/22.96 | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | REDUCE: (367), (4378) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | (4382) ~ (all_52_14 = e3)
% 158.31/22.96 | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | REDUCE: (36), (4378) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | (4383) op(e1, e1) = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | (4384) all_54_11 = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (4382), (4384) are inconsistent by
% 158.31/22.96 | | | | | | | | | | | | | | | | | | sub-proof #1371.
% 158.31/22.96 | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.96 | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | (4385) ~ (all_54_11 = e3)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | (4386) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 158.31/22.96 | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | (4387) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (4387) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | (4388) all_56_12 = e3 & op(e0, e3) = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | ALPHA: (4388) implies:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | (4389) all_56_12 = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | (4390) op(e0, e3) = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4386) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | (4391) all_54_11 = e2
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (4021), (4391) are inconsistent by
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | sub-proof #1368.
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | (4392) ~ (all_54_11 = e2)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | (4393) all_54_11 = e1 | all_54_11 = e0
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | (4394) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4394) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | (4395) all_56_9 = e3 & op(e3, e0) = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4395) implies:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | (4396) all_56_9 = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | (4397) op(e3, e0) = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4393) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | (4398) all_54_11 = e1
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (4398) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | (4399) all_52_14 = e1
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4399) implies:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | (4400) all_52_14 = e1
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4400) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | (4401) ~ (all_52_2 = e1)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (4400) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | (4402) ~ (all_52_6 = e1)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (4400) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | (4403) ~ (all_52_12 = e1)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4021), (4400) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | (4404) ~ (e2 = e1)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | (4405) all_54_3 = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (4405) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | (4406) all_52_12 = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (4406) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | (4407) ~ (all_14_2 = e3)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4407) implies:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | (4408) ~ (all_14_2 = e3)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4409) all_54_0 = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4409) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4410) all_14_2 = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4408), (4410) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4411) $false
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4411) is inconsistent.
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4412) ~ (all_54_0 = e3)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4413) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4413) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4414) all_54_0 = e2
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4414) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4415) all_14_2 = e2
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (4415) imply:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4416) $false
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4416) is inconsistent.
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4417) ~ (all_54_0 = e2)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4418) all_54_0 = e1 | all_54_0 = e0
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4419) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4419) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4420) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4420) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4421) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4421) gives:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4422) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4422) implies:
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4423) ~ (all_57_28 = e3)
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4424) op(e2, e2) = all_57_28
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3446), (4423), (4424), (function-axioms) are
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1048.
% 158.31/22.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4425) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4425) implies:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4426) op(e0, e0) = e3
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (206), (210),
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (4021), (4396), (4397), (4426),
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #776.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4427) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (206), (210),
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (4021), (4383), (4396), (4397), (4427),
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #775.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4428) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4428) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4429) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (3441), (4383), (4429),
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #925.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4430) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4430) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4431) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4431) implies:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4432) op(e3, e3) = e2
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (377), (4432), (function-axioms) are
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4433) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (3446), (4402), (4433),
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #774.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4434) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4434) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4435) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4435) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4436) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (3448), (4023), (4436),
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1164.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4437) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4437) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4438) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4438) implies:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4439) op(e0, e0) = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4023), (4439), (function-axioms) are
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1431.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4440) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3446), (4383), (4440), (function-axioms) are
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #801.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4441) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4441) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4442) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4442) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4443) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4443) implies:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4444) op(e2, e0) = e2
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4020), (4444), (function-axioms) are
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4445) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4445) implies:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4446) all_57_29 = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4447) all_57_26 = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4448) ~ (all_57_25 = e3)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4449) op(e1, e0) = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4418) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4450) all_54_0 = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4450) imply:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4451) all_14_2 = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3448), (4451) imply:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4452) $false
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4452) is inconsistent.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4453) all_54_0 = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (4453) imply:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4454) all_14_2 = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (345), (4454) imply:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4455) ~ (all_52_8 = e0)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (4454) imply:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4456) op(e3, e3) = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4457) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4457) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4458) all_56_0 = e1 & op(e3, e3) = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4458) implies:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4459) op(e3, e3) = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4456), (4459), (function-axioms) are
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1387.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4460) all_56_2 = e1 & op(e2, e3) = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4460) implies:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4461) op(e2, e3) = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4462) ~ (all_50_2 = e3)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4379), (4462) imply:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4463) $false
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4463) is inconsistent.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4464) ( ~ (all_50_0 = e2) & op(e3, e1) = all_50_0 &
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_0)) | ( ~ (all_50_1 = e0) & op(e3, e3)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4465) all_54_8 = e3
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4380), (4465) are inconsistent by
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1388.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4466) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4466) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4467) all_54_8 = e2
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (4467) imply:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4468) all_52_2 = e2
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4468) implies:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4469) all_52_2 = e2
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (4469) imply:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4470) ~ (all_52_1 = e2)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4471) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4471) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4472) all_56_4 = e0 & op(e3, e1) = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4472) implies:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4473) op(e3, e1) = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4455), (4456), (4464), (4473),
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #968.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4474) all_56_5 = e0 & op(e2, e1) = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4474) implies:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4475) op(e2, e1) = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4053), (4475), (function-axioms) are
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1105.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4476) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4476) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4477) all_56_8 = e0 & op(e1, e1) = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4477) implies:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4478) op(e1, e1) = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4383), (4478), (function-axioms) are
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4479) all_56_14 = e0 & op(e0, e1) = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4479) implies:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4480) all_56_14 = e0
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4481) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4481) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4482) all_56_12 = e1 & op(e0, e3) = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4482) implies:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4483) all_56_12 = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4389), (4483) are inconsistent by sub-proof
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1300.
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4484) all_56_13 = e1 & op(e0, e2) = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4484) implies:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4485) op(e0, e2) = e1
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4486) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4486) gives:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4487) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3446), (4470), (4487), (function-axioms)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #773.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4488) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4488) implies:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4489) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4023), (4485), (4489), (function-axioms) are
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1117.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4490) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4383), (4446), (4447), (4448), (4490),
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1178.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4491) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (4023), (4480), (4491),
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #771.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4492) ~ (all_54_8 = e2)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (4492) imply:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4493) ~ (all_52_2 = e2)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (159), (163), (167), (233), (4017),
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4456), (4461), (4493), (function-axioms) are
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #769.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4494) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4494) gives:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4495) all_56_6 = e1 & op(e1, e3) = e1
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4495) implies:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4496) op(e1, e3) = e1
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (4449), (4496),
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1222.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4497) all_56_12 = e1 & op(e0, e3) = e1
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4389), (4497) are inconsistent by sub-proof
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1196.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4498) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4498) gives:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4499) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4499) implies:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4500) op(e2, e0) = e2
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4020), (4500), (function-axioms) are
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4501) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (51), (377), (3446), (3448),
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4383), (4390), (4501), (function-axioms) are
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #796.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | (4502) ~ (all_54_3 = e3)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (4502) imply:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | (4503) ~ (all_52_12 = e3)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4397), (4503), (function-axioms) are
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1284.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | (4504) all_54_11 = e0
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (4055), (4504) are inconsistent by
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1086.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | (4505) all_56_10 = e3 & op(e2, e0) = e3
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4505) implies:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | (4506) all_56_10 = e3
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4143), (4506) are inconsistent by sub-proof
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | | #1293.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | (4507) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (4023), (4382), (4507),
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | | #1162.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | (4508) all_56_13 = e3 & op(e0, e2) = e3
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | ALPHA: (4508) implies:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | (4509) all_56_13 = e3
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | (3446), (4509), (function-axioms) are inconsistent
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | by sub-proof #846.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | (4510) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (4023), (4381), (4510),
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | #1107.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | (4511) ~ (all_42_1 = e3) & op(e2, e2) = all_42_1 &
% 158.31/22.98 | | | | | | | | | | | $i(all_42_1)
% 158.31/22.98 | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | ALPHA: (4511) implies:
% 158.31/22.98 | | | | | | | | | | | (4512) ~ (all_42_1 = e3)
% 158.31/22.98 | | | | | | | | | | | (4513) op(e2, e2) = all_42_1
% 158.31/22.98 | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | REF_CLOSE: (3446), (4512), (4513), (function-axioms) are
% 158.31/22.98 | | | | | | | | | | | inconsistent by sub-proof #865.
% 158.31/22.98 | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | End of split
% 158.31/22.98 | | | | | | | | |
% 158.31/22.98 | | | | | | | | End of split
% 158.31/22.98 | | | | | | | |
% 158.31/22.98 | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | |
% 158.31/22.98 | | | | | | | | (4514) all_28_2 = e1
% 158.31/22.98 | | | | | | | |
% 158.31/22.98 | | | | | | | | COMBINE_EQS: (315), (4514) imply:
% 158.31/22.98 | | | | | | | | (4515) all_14_2 = e1
% 158.31/22.98 | | | | | | | |
% 158.31/22.98 | | | | | | | | SIMP: (4515) implies:
% 158.31/22.98 | | | | | | | | (4516) all_14_2 = e1
% 158.31/22.98 | | | | | | | |
% 158.31/22.98 | | | | | | | | REDUCE: (337), (4516) imply:
% 158.31/22.98 | | | | | | | | (4517) ~ (all_52_1 = e1)
% 158.31/22.98 | | | | | | | |
% 158.31/22.98 | | | | | | | | REDUCE: (339), (4516) imply:
% 158.31/22.98 | | | | | | | | (4518) ~ (all_52_2 = e1)
% 158.31/22.98 | | | | | | | |
% 158.31/22.98 | | | | | | | | REDUCE: (343), (4516) imply:
% 158.31/22.98 | | | | | | | | (4519) ~ (all_52_4 = e1)
% 158.31/22.98 | | | | | | | |
% 158.31/22.98 | | | | | | | | REDUCE: (345), (4516) imply:
% 158.31/22.98 | | | | | | | | (4520) ~ (all_52_8 = e1)
% 158.31/22.98 | | | | | | | |
% 158.31/22.98 | | | | | | | | REDUCE: (347), (4516) imply:
% 158.31/22.98 | | | | | | | | (4521) ~ (all_52_12 = e1)
% 158.31/22.98 | | | | | | | |
% 158.31/22.98 | | | | | | | | REDUCE: (51), (4516) imply:
% 158.31/22.98 | | | | | | | | (4522) op(e3, e3) = e1
% 158.31/22.98 | | | | | | | |
% 158.31/22.98 | | | | | | | | BETA: splitting (88) gives:
% 158.31/22.98 | | | | | | | |
% 158.31/22.98 | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | |
% 158.31/22.98 | | | | | | | | | (4523) ~ (all_38_2 = e3)
% 158.31/22.98 | | | | | | | | |
% 158.31/22.98 | | | | | | | | | REDUCE: (3440), (4523) imply:
% 158.31/22.98 | | | | | | | | | (4524) $false
% 158.31/22.98 | | | | | | | | |
% 158.31/22.98 | | | | | | | | | CLOSE: (4524) is inconsistent.
% 158.31/22.98 | | | | | | | | |
% 158.31/22.98 | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | |
% 158.31/22.98 | | | | | | | | | (4525) ( ~ (all_38_0 = e0) & op(e3, e2) = all_38_0 &
% 158.31/22.98 | | | | | | | | | $i(all_38_0)) | ( ~ (all_38_1 = e1) & op(e3, e3) =
% 158.31/22.98 | | | | | | | | | all_38_1 & $i(all_38_1))
% 158.31/22.98 | | | | | | | | |
% 158.31/22.98 | | | | | | | | | BETA: splitting (4525) gives:
% 158.31/22.98 | | | | | | | | |
% 158.31/22.98 | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | (4526) ~ (all_38_0 = e0) & op(e3, e2) = all_38_0 &
% 158.31/22.98 | | | | | | | | | | $i(all_38_0)
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | ALPHA: (4526) implies:
% 158.31/22.98 | | | | | | | | | | (4527) ~ (all_38_0 = e0)
% 158.31/22.98 | | | | | | | | | | (4528) op(e3, e2) = all_38_0
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 158.31/22.98 | | | | | | | | | | all_38_0, e2, e3, simplifying with (170), (4528)
% 158.31/22.98 | | | | | | | | | | gives:
% 158.31/22.98 | | | | | | | | | | (4529) all_52_4 = all_38_0
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | COMBINE_EQS: (272), (4529) imply:
% 158.31/22.98 | | | | | | | | | | (4530) all_54_1 = all_38_0
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | REDUCE: (136), (4529) imply:
% 158.31/22.98 | | | | | | | | | | (4531) ~ (all_52_6 = all_38_0)
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | SIMP: (4531) implies:
% 158.31/22.98 | | | | | | | | | | (4532) ~ (all_52_6 = all_38_0)
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | REDUCE: (135), (4529) imply:
% 158.31/22.98 | | | | | | | | | | (4533) ~ (all_52_7 = all_38_0)
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | SIMP: (4533) implies:
% 158.31/22.98 | | | | | | | | | | (4534) ~ (all_52_7 = all_38_0)
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | REDUCE: (134), (4529) imply:
% 158.31/22.98 | | | | | | | | | | (4535) ~ (all_52_8 = all_38_0)
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | SIMP: (4535) implies:
% 158.31/22.98 | | | | | | | | | | (4536) ~ (all_52_8 = all_38_0)
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | REDUCE: (133), (4529) imply:
% 158.31/22.98 | | | | | | | | | | (4537) ~ (all_52_12 = all_38_0)
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | SIMP: (4537) implies:
% 158.31/22.98 | | | | | | | | | | (4538) ~ (all_52_12 = all_38_0)
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | REDUCE: (3441), (4529) imply:
% 158.31/22.98 | | | | | | | | | | (4539) ~ (all_38_0 = e3)
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | REDUCE: (4519), (4529) imply:
% 158.31/22.98 | | | | | | | | | | (4540) ~ (all_38_0 = e1)
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | BETA: splitting (203) gives:
% 158.31/22.98 | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | (4541) all_54_1 = e3
% 158.31/22.98 | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | COMBINE_EQS: (4530), (4541) imply:
% 158.31/22.98 | | | | | | | | | | | (4542) all_38_0 = e3
% 158.31/22.98 | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | REDUCE: (4539), (4542) imply:
% 158.31/22.98 | | | | | | | | | | | (4543) $false
% 158.31/22.98 | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | CLOSE: (4543) is inconsistent.
% 158.31/22.98 | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | (4544) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 158.31/22.98 | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | BETA: splitting (4544) gives:
% 158.31/22.98 | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | (4545) all_54_1 = e2
% 158.31/22.98 | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | COMBINE_EQS: (4530), (4545) imply:
% 158.31/22.98 | | | | | | | | | | | | (4546) all_38_0 = e2
% 158.31/22.98 | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | REDUCE: (4532), (4546) imply:
% 158.31/22.98 | | | | | | | | | | | | (4547) ~ (all_52_6 = e2)
% 158.31/22.98 | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | REDUCE: (4534), (4546) imply:
% 158.31/22.98 | | | | | | | | | | | | (4548) ~ (all_52_7 = e2)
% 158.31/22.98 | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | REDUCE: (4536), (4546) imply:
% 158.31/22.98 | | | | | | | | | | | | (4549) ~ (all_52_8 = e2)
% 158.31/22.98 | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | REDUCE: (4538), (4546) imply:
% 158.31/22.98 | | | | | | | | | | | | (4550) ~ (all_52_12 = e2)
% 158.31/22.98 | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | BETA: splitting (234) gives:
% 158.31/22.98 | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | (4551) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 158.31/22.98 | | | | | | | | | | | | | & op(e3, e2) = e2)
% 158.31/22.98 | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | BETA: splitting (4551) gives:
% 158.31/22.98 | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | (4552) all_56_0 = e2 & op(e3, e3) = e2
% 158.31/22.98 | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | ALPHA: (4552) implies:
% 158.31/22.98 | | | | | | | | | | | | | | (4553) op(e3, e3) = e2
% 158.31/22.98 | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | REF_CLOSE: (6), (4522), (4553), (function-axioms) are
% 158.31/22.98 | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 158.31/22.98 | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | (4554) all_56_1 = e2 & op(e3, e2) = e2
% 158.31/22.98 | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | ALPHA: (4554) implies:
% 158.31/22.98 | | | | | | | | | | | | | | (4555) all_56_1 = e2
% 158.31/22.98 | | | | | | | | | | | | | | (4556) op(e3, e2) = e2
% 158.31/22.98 | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 158.31/22.98 | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | (4557) ~ (all_30_2 = e2)
% 158.31/22.98 | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | REDUCE: (309), (4557) imply:
% 158.31/22.98 | | | | | | | | | | | | | | | (4558) ~ (all_10_2 = e2)
% 158.31/22.98 | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 158.31/22.98 | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | (4559) ~ (all_32_2 = e3)
% 158.31/22.98 | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | REDUCE: (301), (4559) imply:
% 158.31/22.98 | | | | | | | | | | | | | | | | (4560) ~ (all_4_2 = e3)
% 158.31/22.98 | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 158.31/22.98 | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | (4561) all_54_10 = e3
% 158.31/22.98 | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (4560), (4561) are inconsistent by
% 158.31/22.98 | | | | | | | | | | | | | | | | | sub-proof #1479.
% 158.31/22.98 | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | (4562) ~ (all_54_10 = e3)
% 158.31/22.98 | | | | | | | | | | | | | | | | | (4563) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 158.31/22.98 | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | BETA: splitting (4563) gives:
% 158.31/22.98 | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | (4564) all_54_10 = e2
% 158.31/22.98 | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (4564) are inconsistent by sub-proof
% 158.31/22.98 | | | | | | | | | | | | | | | | | | #1478.
% 158.31/22.98 | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | (4565) ~ (all_54_10 = e2)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | (4566) all_54_10 = e1 | all_54_10 = e0
% 158.31/22.98 | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | BETA: splitting (4566) gives:
% 158.31/22.98 | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | (4567) all_54_10 = e1
% 158.31/22.98 | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (4567) imply:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | (4568) all_4_2 = e1
% 158.31/22.98 | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | SIMP: (4568) implies:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | (4569) all_4_2 = e1
% 158.31/22.98 | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | REDUCE: (360), (4569) imply:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | (4570) ~ (all_52_6 = e1)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | REDUCE: (363), (4569) imply:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | (4571) ~ (all_52_9 = e1)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | REDUCE: (367), (4569) imply:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | (4572) ~ (all_52_14 = e1)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | REDUCE: (4560), (4569) imply:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | (4573) ~ (e3 = e1)
% 158.31/22.98 | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (4569) imply:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | (4574) op(e1, e1) = e1
% 158.31/22.98 | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | (4575) all_54_9 = e3
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (4575) imply:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | (4576) all_52_6 = e3
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (3442), (4576) imply:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | (4577) $false
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | CLOSE: (4577) is inconsistent.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | (4578) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4578) gives:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | (4579) all_54_9 = e2
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (4579) imply:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | (4580) all_52_6 = e2
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4547), (4580) imply:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | (4581) $false
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | CLOSE: (4581) is inconsistent.
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | (4582) all_54_9 = e1 | all_54_9 = e0
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | (4583) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (3446), (4517), (4583),
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | #768.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | (4584) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4584) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | (4585) all_56_5 = e1 & op(e2, e1) = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4571), (4585), (function-axioms) are
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | (4586) all_56_10 = e1 & op(e2, e0) = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4586) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | (4587) op(e2, e0) = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4582) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | (4588) all_54_9 = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (4570), (4588) are inconsistent by
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1087.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | (4589) all_54_9 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (4589) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | (4590) all_52_6 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4590) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | (4591) all_52_6 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (4591) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | (4592) ~ (all_52_7 = e0)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4592) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | (4593) ~ (all_52_7 = e0)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | (4594) all_54_13 = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (3443), (4594) are inconsistent by
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #919.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | (4595) ~ (all_54_13 = e3)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | (4596) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4596) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4597) all_54_13 = e2
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (4548), (4597) are inconsistent by
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #918.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4598) ~ (all_54_13 = e2)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4599) all_54_13 = e1 | all_54_13 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4599) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4600) all_54_13 = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (4600) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4601) all_52_7 = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4601) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4602) all_52_7 = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (4602) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4603) ~ (all_52_3 = e1)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (4602) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4604) ~ (all_10_2 = e1)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4604) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4605) ~ (all_10_2 = e1)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4548), (4602) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4606) ~ (e2 = e1)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4607) all_54_15 = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (376), (4607) are inconsistent by sub-proof
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1265.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4608) ~ (all_54_15 = e3)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4609) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4609) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4610) all_54_15 = e2
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (4558), (4610) are inconsistent by
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4611) ~ (all_54_15 = e2)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4612) all_54_15 = e1 | all_54_15 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4612) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4613) all_54_15 = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (4605), (4613) are inconsistent by
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1213.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4614) all_54_15 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (4614) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4615) all_10_2 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4615) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4616) all_10_2 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (4616) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4617) ~ (all_52_3 = e0)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (4616) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4618) ~ (all_52_11 = e0)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (4616) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4619) ~ (all_52_12 = e0)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (4616) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620) ~ (e3 = e0)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4558), (4616) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4621) ~ (e2 = e0)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4605), (4616) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622) ~ (e1 = e0)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (4616) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4623) op(e0, e0) = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4624) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4624) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (163), (4518), (4574), (4623), (4625),
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #838.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4626) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4626) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4627) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (375), (4623), (4627),
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #837.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4628) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4628) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4629) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) op(e3, e3) = e2
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4522), (4630), (function-axioms) are
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (3446), (4623), (4631),
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #836.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4632) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4633) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4634) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4635) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) op(e0, e0) = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (4605), (4636), (function-axioms) are
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1180.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4637) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) all_57_26 = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) all_57_23 = e2
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) op(e2, e2) = all_57_28
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) all_54_3 = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (4641) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) all_52_12 = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4642) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) all_52_12 = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (4643) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) ~ (all_52_8 = e3)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4645) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) all_56_4 = e3 & op(e3, e1) = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4646) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) op(e3, e1) = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4644), (4647), (function-axioms) are
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4648) all_56_5 = e3 & op(e2, e1) = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4648) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4649) all_56_5 = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650) all_54_2 = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (4644), (4650) are inconsistent by
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1068.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4651) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4652) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4652) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) all_56_2 = e2 & op(e2, e3) = e2
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4653) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4654) op(e2, e3) = e2
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4651) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655) all_54_2 = e2
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4655) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4656) all_52_8 = e2
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4549), (4656) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) $false
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4657) is inconsistent.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) all_54_2 = e1 | all_54_2 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4658) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) all_54_2 = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4659) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) all_52_8 = e1
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4520), (4660) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) $false
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4661) is inconsistent.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) all_54_2 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4662) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) all_52_8 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (4663) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) ~ (all_52_9 = e0)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4664) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) ~ (all_52_9 = e0)
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) all_54_6 = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (4666) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) all_52_9 = e3
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3444), (4667) imply:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) $false
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4668) is inconsistent.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (146), (167), (261), (4571), (4654), (4665),
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669), (function-axioms) are inconsistent by
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #792.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4670) all_56_3 = e2 & op(e2, e2) = e2
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4670) implies:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671) op(e2, e2) = e2
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3446), (4640), (4671), (function-axioms) are
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #767.
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/22.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4672) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4672) gives:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673) all_56_5 = e2 & op(e2, e1) = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4673) implies:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4674) all_56_5 = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4649), (4674) are inconsistent by sub-proof
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #910.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4675) all_56_10 = e2 & op(e2, e0) = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4675) implies:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4676) op(e2, e0) = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4587), (4676), (function-axioms) are
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #903.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4677) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4677) gives:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678) all_56_8 = e3 & op(e1, e1) = e3
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4678) implies:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4679) op(e1, e1) = e3
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4574), (4679), (function-axioms) are
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1477.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4680) all_56_14 = e3 & op(e0, e1) = e3
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4680) implies:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4681) all_56_14 = e3
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4682) op(e0, e1) = e3
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4683) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4683) gives:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4684) all_56_4 = e2 & op(e3, e1) = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4684) implies:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4685) op(e3, e1) = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4549), (4685), (function-axioms) are
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4686) all_56_5 = e2 & op(e2, e1) = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4686) implies:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4687) all_56_5 = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4688) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4688) gives:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4689) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4689) implies:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) op(e3, all_57_26) = e3
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4638), (4690) imply:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4691) op(e3, e1) = e3
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (217), (4574), (4681), (4687),
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4691), (function-axioms) are inconsistent by
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #788.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4692) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4692) implies:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4693) op(e2, all_57_23) = e1
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4639), (4693) imply:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4694) op(e2, e2) = e1
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3446), (4694), (function-axioms) are
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4695) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4695) gives:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4696) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4522), (4644), (4696), (function-axioms)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1127.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4697) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4697) implies:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4698) op(e0, e1) = all_57_24
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4699) op(e0, e3) = all_57_18
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4700) op(e0, all_57_24) = e1
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (4603), (4682), (4698), (4699), (4700),
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1028.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4701) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4701) gives:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4702) all_56_8 = e2 & op(e1, e1) = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4702) implies:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4703) op(e1, e1) = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (4703), (function-axioms) are
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4704) all_56_14 = e2 & op(e0, e1) = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4704) implies:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4705) all_56_14 = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4681), (4705) are inconsistent by sub-proof
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1402.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4706) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (133), (170), (270), (4521), (4556), (4619),
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4706), (function-axioms) are inconsistent by
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #888.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4707) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (45), (3446), (4574), (4605), (4707),
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #765.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4708) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4708) gives:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4709) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (4572), (4587), (4709),
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #764.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4710) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4710) gives:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4711) implies:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4712) op(e2, e0) = e2
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4587), (4712), (function-axioms) are
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #903.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4713) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4713) gives:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4714) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4714) implies:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4715) op(e2, e2) = e0
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3446), (4715), (function-axioms) are
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4716) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4716) implies:
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4717) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (36), (157), (158), (159), (189), (246),
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (361), (375), (376), (3446), (4558),
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4574), (4605), (4617), (4618), (4717),
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #808.
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4718) all_54_13 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (4593), (4718) are inconsistent by
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #877.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | (4719) all_54_10 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (4719) are inconsistent by sub-proof
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | #1332.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | (4720) all_32_2 = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | (4721) ( ~ (all_32_0 = e0) & op(e3, e1) = all_32_0 &
% 158.31/23.01 | | | | | | | | | | | | | | | | $i(all_32_0)) | ( ~ (all_32_1 = e2) & op(e3, e3)
% 158.31/23.01 | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 158.31/23.01 | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (4720) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | (4722) all_4_2 = e3
% 158.31/23.01 | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | SIMP: (4722) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | (4723) all_4_2 = e3
% 158.31/23.01 | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | REDUCE: (362), (4723) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | (4724) ~ (all_52_8 = e3)
% 158.31/23.01 | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | REDUCE: (365), (4723) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | (4725) ~ (all_52_11 = e3)
% 158.31/23.01 | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | REDUCE: (36), (4723) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | (4726) op(e1, e1) = e3
% 158.31/23.01 | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | (4727) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 158.31/23.01 | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (3441), (4522), (4727),
% 158.31/23.01 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.01 | | | | | | | | | | | | | | | | | #763.
% 158.31/23.01 | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | (4728) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 158.31/23.01 | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | BETA: splitting (4728) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | (4729) all_56_4 = e3 & op(e3, e1) = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | ALPHA: (4729) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | (4730) op(e3, e1) = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4724), (4730), (function-axioms) are
% 158.31/23.01 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 158.31/23.01 | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | (4731) all_56_9 = e3 & op(e3, e0) = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | ALPHA: (4731) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | (4732) op(e3, e0) = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | (4733) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (4733) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | (4734) all_56_12 = e3 & op(e0, e3) = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (4734) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | (4735) all_56_12 = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | (4736) op(e0, e3) = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | (4737) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4737) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | (4738) all_56_12 = e2 & op(e0, e3) = e2
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4735), (4738) are inconsistent by sub-proof
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | #979.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | (4739) all_56_13 = e2 & op(e0, e2) = e2
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4548), (4739), (function-axioms) are
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1259.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | (4740) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4740) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | (4741) all_56_14 = e2 & op(e0, e1) = e2
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4741) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | (4742) all_56_14 = e2
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | (4743) op(e0, e1) = e2
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | (4744) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4744) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | (4745) all_56_4 = e1 & op(e3, e1) = e1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4745) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | (4746) all_56_4 = e1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4747) all_54_2 = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4747) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4748) all_52_8 = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4724), (4748) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4749) $false
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4749) is inconsistent.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4750) ~ (all_54_2 = e3)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4751) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4751) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (4752) all_54_2 = e2
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4752) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (4753) all_52_8 = e2
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4549), (4753) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (4754) $false
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4754) is inconsistent.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (4755) ~ (all_54_2 = e2)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (4756) all_54_2 = e1 | all_54_2 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4756) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4757) all_54_2 = e1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4757) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4758) all_52_8 = e1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4520), (4758) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4759) $false
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4759) is inconsistent.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4760) all_54_2 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4760) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4761) all_52_8 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (4761) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4762) ~ (all_52_9 = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4762) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4763) ~ (all_52_9 = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (4761) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4764) ~ (all_52_11 = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4764) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4765) ~ (all_52_11 = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4724), (4761) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4766) ~ (e3 = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4549), (4761) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4767) ~ (e2 = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4520), (4761) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4768) ~ (e1 = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4769) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4522), (4527), (4528), (4769),
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #761.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4770) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4770) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4771) all_56_4 = e0 & op(e3, e1) = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4771) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4772) all_56_4 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4746), (4772) are inconsistent by sub-proof
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1373.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4773) all_56_9 = e0 & op(e3, e0) = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4773) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4774) all_56_9 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4775) op(e3, e0) = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (157), (165), (217),
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (4522), (4726), (4763), (4765),
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4774), (4775), (function-axioms) are inconsistent
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #883.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | (4776) all_56_5 = e1 & op(e2, e1) = e1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4776) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | (4777) op(e2, e1) = e1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4778) all_54_2 = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4778) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4779) all_52_8 = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4724), (4779) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4780) $false
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4780) is inconsistent.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4781) ~ (all_54_2 = e3)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4782) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4782) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (4783) all_54_2 = e2
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4783) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (4784) all_52_8 = e2
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4549), (4784) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (4785) $false
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4785) is inconsistent.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (4786) all_54_2 = e1 | all_54_2 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4786) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4787) all_54_2 = e1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4787) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4788) all_52_8 = e1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4520), (4788) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4789) $false
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4789) is inconsistent.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4790) all_54_2 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (4790) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4791) all_52_8 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (4791) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4792) ~ (all_52_9 = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4792) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4793) ~ (all_52_9 = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (4791) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4794) ~ (all_52_11 = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4794) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4795) ~ (all_52_11 = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4724), (4791) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4796) ~ (e3 = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (4791) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4797) op(e3, e1) = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4721) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4798) ~ (all_32_0 = e0) & op(e3, e1) = all_32_0 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4798) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4799) ~ (all_32_0 = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4800) op(e3, e1) = all_32_0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4797), (4799), (4800), (function-axioms)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1004.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4801) ~ (all_32_1 = e2) & op(e3, e3) = all_32_1 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4801) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4802) ~ (all_32_1 = e2)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4803) op(e3, e3) = all_32_1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4804) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4804) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4805) all_56_4 = e0 & op(e3, e1) = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4805) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4806) all_56_4 = e0
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (4743) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4807) all_52_11 = e2
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (4736) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4808) all_52_3 = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (4777) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4809) all_52_9 = e1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (4522), (4803) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4810) all_32_1 = e1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (4808) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4811) ~ (all_10_2 = e3)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3444), (4809) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4812) ~ (e3 = e1)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (4807) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4813) ~ (all_10_2 = e2)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4725), (4807) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4814) ~ (e3 = e2)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4802), (4810) imply:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4815) ~ (e2 = e1)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4816) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4816) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4817) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (376), (3446), (4726), (4817),
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #803.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4818) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4818) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4819) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (4558), (4726), (4819),
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1286.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4820) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4820) gives:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4821) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4821) implies:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4822) op(e3, e3) = e2
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4802), (4803), (4822), (function-axioms) are
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1003.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4823) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (3446), (4558), (4823),
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #802.
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4824) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4824) gives:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4825) gives:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4826) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4826) gives:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4827) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4827) implies:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4828) op(e3, e1) = e3
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4797), (4828), (function-axioms) are
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1458.
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4829) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4829) implies:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4830) op(e2, e1) = e2
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e1,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4777), (4830) gives:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4831) e2 = e1
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4555), (4831) imply:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4832) all_56_1 = e1
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (51), (234), (377), (4732), (4806),
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4832), (function-axioms) are inconsistent by
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #941.
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4833) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4833) gives:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4834) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4834) implies:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4835) all_57_31 = e1
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4836) all_57_23 = e2
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4837) op(e0, e0) = e1
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4838) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4838) gives:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4839) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4839) implies:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4840) (all_57_17 = e1 & op(e1, e3) = e1) | ( ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4518), (4726), (4840), (function-axioms)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1108.
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4841) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4841) implies:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4842) op(e2, all_57_23) = e1
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4836), (4842) imply:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4843) op(e2, e2) = e1
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3446), (4843), (function-axioms) are
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4844) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4844) gives:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4743), (4837), (4845), (function-axioms) are
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #760.
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4846) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4846) implies:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4847) op(e0, all_57_31) = e0
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4835), (4847) imply:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4848) op(e0, e1) = e0
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (4520), (4786), (4848),
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #759.
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4849) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3446), (4726), (4849), (function-axioms) are
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #801.
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4850) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4850) gives:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4851) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4522), (4851), (function-axioms) are
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #758.
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4852) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4852) gives:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4853) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4853) implies:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4854) op(e1, e1) = e0
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4726), (4854), (function-axioms) are
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4855) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4855) gives:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4856) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4856) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4857) op(e2, e2) = e0
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3446), (4857), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4858) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4858) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4859) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4859) gives:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4860) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4860) gives:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4861) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4861) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4862) op(e0, e3) = e0
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4736), (4862), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1131.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4863) gives:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4864) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4864) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4865) op(e0, e3) = e0
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4736), (4865), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1131.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4866) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4866) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4867) op(e3, e3) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4802), (4803), (4867), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1003.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4868) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4868) gives:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4869) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870) op(e1, e1) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4726), (4870), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4871) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4871) gives:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4872) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4872) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4873) op(e0, e1) = e0
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (4520), (4786), (4873),
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #759.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4874) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4874) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4875) op(e2, e2) = e1
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3446), (4875), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4876) all_56_5 = e0 & op(e2, e1) = e0
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4876) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4877) op(e2, e1) = e0
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4793), (4877), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1105.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4878) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4878) gives:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4879) all_56_8 = e0 & op(e1, e1) = e0
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4879) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4880) op(e1, e1) = e0
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (4726), (4880), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4881) all_56_14 = e0 & op(e0, e1) = e0
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4881) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4882) op(e0, e1) = e0
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (271), (4520), (4786), (4882),
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #759.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | (4883) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4883) gives:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | (4884) all_56_8 = e1 & op(e1, e1) = e1
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4884) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | (4885) op(e1, e1) = e1
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4726), (4885), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1477.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | (4886) all_56_14 = e1 & op(e0, e1) = e1
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4742), (4886) are inconsistent by sub-proof
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | | #1235.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | (4887) all_56_15 = e2 & op(e0, e0) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4887) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | (4888) op(e0, e0) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (4558), (4888), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1471.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | (4889) all_56_13 = e3 & op(e0, e2) = e3
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | ALPHA: (4889) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | (4890) all_56_13 = e3
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | (3446), (4890), (function-axioms) are inconsistent
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | | by sub-proof #846.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | (4891) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.31/23.03 | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (376), (4725), (4891),
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.03 | | | | | | | | | | | | | | | | | | | #969.
% 158.31/23.03 | | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | (4892) all_30_2 = e2
% 158.31/23.03 | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | COMBINE_EQS: (309), (4892) imply:
% 158.31/23.03 | | | | | | | | | | | | | | | (4893) all_10_2 = e2
% 158.31/23.03 | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | COMBINE_EQS: (303), (4893) imply:
% 158.31/23.03 | | | | | | | | | | | | | | | (4894) all_42_2 = e2
% 158.31/23.03 | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | REDUCE: (368), (4893) imply:
% 158.31/23.03 | | | | | | | | | | | | | | | (4895) ~ (all_52_11 = e2)
% 158.31/23.03 | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 158.31/23.03 | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | (4896) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | BETA: splitting (4896) gives:
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | (4897) all_56_4 = e2 & op(e3, e1) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | ALPHA: (4897) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | (4898) op(e3, e1) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4549), (4898), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 158.31/23.03 | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | (4899) all_56_5 = e2 & op(e2, e1) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | ALPHA: (4899) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | (4900) all_56_5 = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (94), (167), (222), (3446), (4517),
% 158.31/23.03 | | | | | | | | | | | | | | | | | (4894), (4900), (function-axioms) are inconsistent
% 158.31/23.03 | | | | | | | | | | | | | | | | | by sub-proof #757.
% 158.31/23.03 | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | (4901) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 158.31/23.03 | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | REF_CLOSE: (36), (157), (375), (4895), (4901),
% 158.31/23.03 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.03 | | | | | | | | | | | | | | | | #1069.
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | (4902) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 158.31/23.03 | | | | | | | | | | | | | & op(e3, e0) = e2)
% 158.31/23.03 | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | REF_CLOSE: (168), (169), (4549), (4550), (4902),
% 158.31/23.03 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.03 | | | | | | | | | | | | | #756.
% 158.31/23.03 | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | (4903) all_54_1 = e1 | all_54_1 = e0
% 158.31/23.03 | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | REF_CLOSE: (4527), (4530), (4540), (4903) are inconsistent by
% 158.31/23.03 | | | | | | | | | | | | sub-proof #755.
% 158.31/23.03 | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | (4904) ~ (all_38_1 = e1) & op(e3, e3) = all_38_1 &
% 158.31/23.03 | | | | | | | | | | $i(all_38_1)
% 158.31/23.03 | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | ALPHA: (4904) implies:
% 158.31/23.03 | | | | | | | | | | (4905) ~ (all_38_1 = e1)
% 158.31/23.03 | | | | | | | | | | (4906) op(e3, e3) = all_38_1
% 158.31/23.03 | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | REF_CLOSE: (4522), (4905), (4906), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | inconsistent by sub-proof #754.
% 158.31/23.03 | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | End of split
% 158.31/23.03 | | | | | | | | |
% 158.31/23.03 | | | | | | | | End of split
% 158.31/23.03 | | | | | | | |
% 158.31/23.03 | | | | | | | End of split
% 158.31/23.03 | | | | | | |
% 158.31/23.03 | | | | | | End of split
% 158.31/23.03 | | | | | |
% 158.31/23.03 | | | | | Case 2:
% 158.31/23.03 | | | | | |
% 158.31/23.03 | | | | | | (4907) all_14_2 = e2
% 158.31/23.03 | | | | | | (4908) ( ~ (all_14_0 = e1) & op(e2, e3) = all_14_0 &
% 158.31/23.03 | | | | | | $i(all_14_0)) | ( ~ (all_14_1 = e0) & op(e2, e2) =
% 158.31/23.03 | | | | | | all_14_1 & $i(all_14_1))
% 158.31/23.03 | | | | | |
% 158.31/23.03 | | | | | | REDUCE: (337), (4907) imply:
% 158.31/23.03 | | | | | | (4909) ~ (all_52_1 = e2)
% 158.31/23.03 | | | | | |
% 158.31/23.03 | | | | | | REDUCE: (339), (4907) imply:
% 158.31/23.03 | | | | | | (4910) ~ (all_52_2 = e2)
% 158.31/23.03 | | | | | |
% 158.31/23.03 | | | | | | REDUCE: (341), (4907) imply:
% 158.31/23.03 | | | | | | (4911) ~ (all_52_3 = e2)
% 158.31/23.03 | | | | | |
% 158.31/23.03 | | | | | | REDUCE: (343), (4907) imply:
% 158.31/23.03 | | | | | | (4912) ~ (all_52_4 = e2)
% 158.31/23.03 | | | | | |
% 158.31/23.03 | | | | | | REDUCE: (345), (4907) imply:
% 158.31/23.03 | | | | | | (4913) ~ (all_52_8 = e2)
% 158.31/23.03 | | | | | |
% 158.31/23.03 | | | | | | REDUCE: (347), (4907) imply:
% 158.31/23.03 | | | | | | (4914) ~ (all_52_12 = e2)
% 158.31/23.03 | | | | | |
% 158.31/23.03 | | | | | | BETA: splitting (233) gives:
% 158.31/23.03 | | | | | |
% 158.31/23.03 | | | | | | Case 1:
% 158.31/23.03 | | | | | | |
% 158.31/23.03 | | | | | | | (4915) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2 &
% 158.31/23.03 | | | | | | | op(e2, e3) = e2)
% 158.31/23.03 | | | | | | |
% 158.31/23.03 | | | | | | | BETA: splitting (4915) gives:
% 158.31/23.03 | | | | | | |
% 158.31/23.03 | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | |
% 158.31/23.03 | | | | | | | | (4916) all_56_0 = e2 & op(e3, e3) = e2
% 158.31/23.03 | | | | | | | |
% 158.31/23.03 | | | | | | | | ALPHA: (4916) implies:
% 158.31/23.03 | | | | | | | | (4917) all_56_0 = e2
% 158.31/23.03 | | | | | | | | (4918) op(e3, e3) = e2
% 158.31/23.03 | | | | | | | |
% 158.31/23.03 | | | | | | | | BETA: splitting (55) gives:
% 158.31/23.03 | | | | | | | |
% 158.31/23.03 | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | |
% 158.31/23.03 | | | | | | | | | (4919) ~ (all_16_2 = e3)
% 158.31/23.03 | | | | | | | | |
% 158.31/23.03 | | | | | | | | | REDUCE: (328), (4919) imply:
% 158.31/23.03 | | | | | | | | | (4920) ~ (all_6_2 = e3)
% 158.31/23.03 | | | | | | | | |
% 158.31/23.03 | | | | | | | | | BETA: splitting (61) gives:
% 158.31/23.03 | | | | | | | | |
% 158.31/23.03 | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | (4921) ~ (all_20_2 = e0)
% 158.31/23.03 | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | REDUCE: (283), (4921) imply:
% 158.31/23.03 | | | | | | | | | | (4922) ~ (all_6_2 = e0)
% 158.31/23.03 | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | BETA: splitting (199) gives:
% 158.31/23.03 | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | (4923) all_54_5 = e3
% 158.31/23.03 | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | COMBINE_EQS: (268), (4923) imply:
% 158.31/23.03 | | | | | | | | | | | (4924) all_6_2 = e3
% 158.31/23.03 | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | REDUCE: (4920), (4924) imply:
% 158.31/23.03 | | | | | | | | | | | (4925) $false
% 158.31/23.03 | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | CLOSE: (4925) is inconsistent.
% 158.31/23.03 | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | (4926) ~ (all_54_5 = e3)
% 158.31/23.03 | | | | | | | | | | | (4927) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 158.31/23.03 | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | BETA: splitting (4927) gives:
% 158.31/23.03 | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | (4928) all_54_5 = e2
% 158.31/23.03 | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | COMBINE_EQS: (268), (4928) imply:
% 158.31/23.03 | | | | | | | | | | | | (4929) all_6_2 = e2
% 158.31/23.03 | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | REDUCE: (353), (4929) imply:
% 158.31/23.03 | | | | | | | | | | | | (4930) ~ (all_52_6 = e2)
% 158.31/23.03 | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | REDUCE: (357), (4929) imply:
% 158.31/23.03 | | | | | | | | | | | | (4931) ~ (all_52_9 = e2)
% 158.31/23.03 | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | REDUCE: (359), (4929) imply:
% 158.31/23.03 | | | | | | | | | | | | (4932) ~ (all_52_13 = e2)
% 158.31/23.03 | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | REDUCE: (4920), (4929) imply:
% 158.31/23.03 | | | | | | | | | | | | (4933) ~ (e3 = e2)
% 158.31/23.03 | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | BETA: splitting (219) gives:
% 158.31/23.03 | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | (4934) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 158.31/23.03 | | | | | | | | | | | | | & op(e2, e1) = e2)
% 158.31/23.03 | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | REF_CLOSE: (165), (169), (4913), (4931), (4934),
% 158.31/23.03 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.03 | | | | | | | | | | | | | #753.
% 158.31/23.03 | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | (4935) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 158.31/23.03 | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 158.31/23.03 | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | BETA: splitting (4935) gives:
% 158.31/23.03 | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | (4936) all_56_8 = e2 & op(e1, e1) = e2
% 158.31/23.03 | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | ALPHA: (4936) implies:
% 158.31/23.03 | | | | | | | | | | | | | | (4937) op(e1, e1) = e2
% 158.31/23.03 | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (4937), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 158.31/23.03 | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | (4938) all_56_14 = e2 & op(e0, e1) = e2
% 158.31/23.03 | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | ALPHA: (4938) implies:
% 158.31/23.03 | | | | | | | | | | | | | | (4939) all_56_14 = e2
% 158.31/23.03 | | | | | | | | | | | | | | (4940) op(e0, e1) = e2
% 158.31/23.03 | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 158.31/23.03 | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | (4941) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 158.31/23.03 | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 158.31/23.03 | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (4910), (4930), (4941),
% 158.31/23.03 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.03 | | | | | | | | | | | | | | | #752.
% 158.31/23.03 | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | (4942) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 158.31/23.03 | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 158.31/23.03 | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | BETA: splitting (4942) gives:
% 158.31/23.03 | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | (4943) all_56_8 = e2 & op(e1, e1) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | ALPHA: (4943) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | (4944) op(e1, e1) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (4944), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | (4945) all_56_11 = e2 & op(e1, e0) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | ALPHA: (4945) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | (4946) all_56_11 = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | (4947) op(e1, e0) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 158.31/23.03 | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | (4948) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 158.31/23.03 | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | BETA: splitting (4948) gives:
% 158.31/23.03 | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.03 | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | (4949) all_56_2 = e2 & op(e2, e3) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | ALPHA: (4949) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | (4950) op(e2, e3) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4909), (4950), (function-axioms) are
% 158.31/23.03 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1330.
% 158.31/23.03 | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.03 | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | (4951) all_56_3 = e2 & op(e2, e2) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | ALPHA: (4951) implies:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | (4952) op(e2, e2) = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | | |
% 158.31/23.03 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 158.31/23.03 | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (4940) gives:
% 158.31/23.03 | | | | | | | | | | | | | | | | | | (4953) all_52_11 = e2
% 158.31/23.03 | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 158.31/23.04 | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (4947) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | (4954) all_52_14 = e2
% 158.31/23.04 | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | REDUCE: (125), (4953) imply:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | (4955) ~ (all_52_7 = e2)
% 158.31/23.04 | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | REDUCE: (371), (4954) imply:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | (4956) ~ (all_10_2 = e2)
% 158.31/23.04 | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | SIMP: (4956) implies:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | (4957) ~ (all_10_2 = e2)
% 158.31/23.04 | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | REDUCE: (367), (4954) imply:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | (4958) ~ (all_4_2 = e2)
% 158.31/23.04 | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | (4959) ~ (all_32_2 = e3)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | REDUCE: (301), (4959) imply:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | (4960) ~ (all_4_2 = e3)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | (4961) all_54_10 = e3
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (4960), (4961) are inconsistent by
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | sub-proof #1479.
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | (4962) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4962) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | (4963) all_54_10 = e2
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (4963) are inconsistent by sub-proof
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | #1478.
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | (4964) ~ (all_54_10 = e2)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | (4965) all_54_10 = e1 | all_54_10 = e0
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4965) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | (4966) all_54_10 = e1
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (4966) imply:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | (4967) all_4_2 = e1
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4967) implies:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | (4968) all_4_2 = e1
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (4968) imply:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | (4969) ~ (all_52_2 = e1)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (360), (4968) imply:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | (4970) ~ (all_52_6 = e1)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (4968) imply:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | (4971) ~ (e2 = e1)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (4968) imply:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | (4972) op(e1, e1) = e1
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | (4973) ~ (all_40_2 = e1)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (307), (4973) imply:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | (4974) ~ (all_10_2 = e1)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (4975) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4975) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (4976) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4976) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4977) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (167), (376), (4909), (4977),
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | #1289.
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4978) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (163), (376), (4969), (4978),
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | #1474.
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (4979) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4979) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4980) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (375), (4957), (4980),
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | #1470.
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4981) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4981) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4982) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4982) implies:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4983) op(e1, e2) = e1
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4970), (4983), (function-axioms) are
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4984) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (45), (4952), (4957), (4984),
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1467.
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (4985) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4985) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (4986) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4986) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4987) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (45), (4918), (4974), (4987),
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | #751.
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4988) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4988) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4989) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4989) implies:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4990) op(e0, e0) = e1
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (4974), (4990), (function-axioms) are
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1180.
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4991) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (4952), (4972), (4991),
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1340.
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (4992) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4992) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4993) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (4932), (4947), (4993),
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | #750.
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (4994) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4994) gives:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4995) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4995) implies:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4996) op(e2, e0) = e2
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4932), (4996), (function-axioms) are
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4997) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4997) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4998) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4998) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4999) op(e2, e2) = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4952), (4999), (function-axioms) are
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5000) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5000) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5001) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5001) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5002) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5002) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5003) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5003) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5004) op(e2, e2) = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4952), (5004), (function-axioms) are
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5005) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5005) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5006) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5006) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5007) op(e1, e1) = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5008) all_54_15 = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (376), (5008) are inconsistent by sub-proof
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1265.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5009) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5009) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5010) all_54_15 = e2
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (4957), (5010) are inconsistent by
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5011) all_54_15 = e1 | all_54_15 = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5011) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5012) all_54_15 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (4974), (5012) are inconsistent by
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1213.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5013) all_54_15 = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5013) imply:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5014) all_10_2 = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5014) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5015) all_10_2 = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (5015) imply:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5016) ~ (all_52_3 = e0)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (5015) imply:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5017) ~ (all_52_7 = e0)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (158), (159), (4918), (4952), (5001),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5007), (5016), (5017), (function-axioms) are
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1143.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5018) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5018) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5019) op(e0, e2) = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5020) all_54_15 = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (376), (5020) are inconsistent by sub-proof
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1265.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5021) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5021) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5022) all_54_15 = e2
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5022) imply:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5023) all_10_2 = e2
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4957), (5023) imply:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5024) $false
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5024) is inconsistent.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5025) all_54_15 = e1 | all_54_15 = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (246), (361), (4974), (5019), (5025),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #904.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5026) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5026) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5027) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5027) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5028) op(e1, e1) = e2
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (5028), (function-axioms) are
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5029) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4918), (4952), (5029), (function-axioms) are
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1145.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | (5030) all_40_2 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (5030) imply:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | (5031) all_10_2 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (5031) imply:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | (5032) all_46_2 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (5031) imply:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | (5033) ~ (e3 = e1)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (5031) imply:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | (5034) op(e0, e0) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | (5035) ~ (all_46_2 = e1)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5032), (5035) imply:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | (5036) $false
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5036) is inconsistent.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | (5037) ( ~ (all_46_0 = e2) & op(e1, e0) = all_46_0 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_0)) | ( ~ (all_46_1 = e3) & op(e1, e1)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5037) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | (5038) ~ (all_46_0 = e2) & op(e1, e0) = all_46_0 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_0)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5038) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | (5039) ~ (all_46_0 = e2)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | (5040) op(e1, e0) = all_46_0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4947), (5039), (5040), (function-axioms) are
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1130.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | (5041) ~ (all_46_1 = e3) & op(e1, e1) = all_46_1 &
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5041) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | (5042) ~ (all_46_1 = e3)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | (5043) op(e1, e1) = all_46_1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (5044) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5044) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5045) all_56_2 = e1 & op(e2, e3) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5045) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5046) all_56_2 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5047) op(e2, e3) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5048) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5048) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5049) all_56_9 = e1 & op(e3, e0) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5049) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5050) all_56_9 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (167), (206),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (211), (212), (220), (221), (222),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (226), (228), (229), (230), (235), (4917),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918), (4931), (4939), (4946), (4952), (5034),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5042), (5043), (5046), (5047), (5050),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #743.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5051) all_56_10 = e1 & op(e2, e0) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5051) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5052) all_56_10 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5053) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5053) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5054) all_56_9 = e3 & op(e3, e0) = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5054) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5055) all_56_9 = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5056) op(e3, e0) = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5057) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (4952), (5046), (5057),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1296.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5058) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5058) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5059) all_56_5 = e0 & op(e2, e1) = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5059) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5060) all_56_5 = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5061) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5061) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5062) all_56_0 = e1 & op(e3, e3) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5062) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063) op(e3, e3) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4918), (5063), (function-axioms) are
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5064) all_56_1 = e1 & op(e3, e2) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5064) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5065) all_56_1 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5066) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5066) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5067) all_56_4 = e3 & op(e3, e1) = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (230), (4918), (5056), (5065),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5067), (function-axioms) are inconsistent by
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #740.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5068) all_56_5 = e3 & op(e2, e1) = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5068) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5069) all_56_5 = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5060), (5069) are inconsistent by sub-proof
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1316.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5070) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4939), (5042), (5043), (5070),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #745.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5071) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5071) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5072) all_56_4 = e1 & op(e3, e1) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5072) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5073) all_56_4 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5074) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5074) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5075) all_56_4 = e3 & op(e3, e1) = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5075) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5076) all_56_4 = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5073), (5076) imply:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5077) e3 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5077) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5078) e3 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5055), (5078) imply:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5079) all_56_9 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (167), (206),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (211), (212), (220), (221), (222),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (226), (228), (229), (230), (235), (4917),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918), (4931), (4939), (4946), (4952), (5034),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5042), (5043), (5046), (5047), (5079),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #743.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5080) all_56_5 = e3 & op(e2, e1) = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5080) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5081) all_56_5 = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5060), (5081) are inconsistent by sub-proof
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1316.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5082) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4939), (5042), (5043), (5082),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #745.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5083) all_56_9 = e1 & op(e3, e0) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5083) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5084) all_56_9 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (167), (206),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (211), (212), (220), (221), (222),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (226), (228), (229), (230), (235), (4917),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918), (4931), (4939), (4946), (4952), (5034),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5042), (5043), (5046), (5047), (5084),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #743.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5085) all_56_10 = e0 & op(e2, e0) = e0
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5052), (5085) are inconsistent by sub-proof
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1435.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5086) all_56_10 = e3 & op(e2, e0) = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5086) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5087) all_56_10 = e3
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5052), (5087) are inconsistent by sub-proof
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1447.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5088) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (4946), (5034), (5088),
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1437.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5089) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5089) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5090) all_56_11 = e1 & op(e1, e0) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5090) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5091) op(e1, e0) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4947), (5091), (function-axioms) are
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1219.
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5092) all_56_15 = e1 & op(e0, e0) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5092) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5093) all_56_15 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5094) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5094) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5095) all_56_1 = e1 & op(e3, e2) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5095) implies:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5096) op(e3, e2) = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_46_1,
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (4972), (5043) gives:
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5097) all_46_1 = e1
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (5047) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5098) all_52_1 = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (5096) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5099) all_52_4 = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5100) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (169), (4909), (4913), (4918), (5096),
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5100), (function-axioms) are inconsistent by
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #738.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5101) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5101) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5102) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4940), (5034), (5102), (function-axioms) are
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #760.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5103) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5103) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5104) op(e0, e0) = all_57_31
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5105) op(e0, e1) = all_57_24
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5106) op(e0, all_57_31) = e0
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5107) (all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4908) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5108) ~ (all_14_0 = e1) & op(e2, e3) = all_14_0 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_0)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5108) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5109) ~ (all_14_0 = e1)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5110) op(e2, e3) = all_14_0
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5047), (5109), (5110), (function-axioms) are
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #737.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5111) ~ (all_14_1 = e0) & op(e2, e2) = all_14_1 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5111) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5112) ~ (all_14_1 = e0)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5113) op(e2, e2) = all_14_1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5107) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5114) all_57_27 = e2 & op(e2, e0) = e2
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5114) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5115) op(e2, e0) = e2
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4932), (5115), (function-axioms) are
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5116) ~ (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5116) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5117) op(e2, e2) = all_57_28
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (5034), (5104)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5118) all_57_31 = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24, e1, e0, simplifying with (4940), (5105)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5119) all_57_24 = e2
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (4952), (5117)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5120) all_57_28 = e2
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (5113), (5117)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5121) all_57_28 = all_14_1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5120), (5121) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5122) all_14_1 = e2
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5122) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5123) all_14_1 = e2
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5106), (5118) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5124) op(e0, e1) = e0
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4940), (5124), (function-axioms) are
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1315.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5125) all_56_3 = e1 & op(e2, e2) = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5125) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5126) op(e2, e2) = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4952), (5126), (function-axioms) are
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1468.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5127) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5127) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5128) all_56_7 = e1 & op(e1, e2) = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5128) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5129) op(e1, e2) = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4970), (5129), (function-axioms) are
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5130) all_56_13 = e1 & op(e0, e2) = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5130) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131) all_56_13 = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5132) all_56_15 = e0 & op(e0, e0) = e0
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5093), (5132) are inconsistent by sub-proof
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1026.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5133) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5133) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5134) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (209), (4939), (5034),
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131), (5134), (function-axioms) are inconsistent
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1400.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5135) all_56_3 = e1 & op(e2, e2) = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5135) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5136) op(e2, e2) = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4952), (5136), (function-axioms) are
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1468.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5137) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5137) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5138) all_56_5 = e1 & op(e2, e1) = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5138) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5139) all_56_5 = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5140) op(e2, e1) = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5141) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5141) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5142) all_56_4 = e3 & op(e3, e1) = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5142) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5143) op(e3, e1) = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (217), (4940), (4972), (5139),
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5143), (function-axioms) are inconsistent by
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #736.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5144) all_56_5 = e3 & op(e2, e1) = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5144) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145) op(e2, e1) = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5140), (5145), (function-axioms) are
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5146) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4939), (5042), (5043), (5146),
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #745.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5147) all_56_10 = e1 & op(e2, e0) = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5147) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5148) all_56_10 = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (206), (212), (4946),
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5034), (5148), (function-axioms) are inconsistent
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1432.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | (5149) all_54_10 = e0
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (5149) are inconsistent by sub-proof
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | #1332.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.06 | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | (5150) all_32_2 = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | (5151) ( ~ (all_32_0 = e0) & op(e3, e1) = all_32_0 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | $i(all_32_0)) | ( ~ (all_32_1 = e2) & op(e3, e3)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 158.31/23.06 | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (5150) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | (5152) all_4_2 = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | SIMP: (5152) implies:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | (5153) all_4_2 = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (5153) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | (5154) op(e1, e1) = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | (5155) ~ (all_46_2 = e1)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (297), (5155) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | (5156) ~ (all_10_2 = e1)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | (5157) all_54_15 = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5157) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | (5158) all_10_2 = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (5158) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | (5159) $false
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5159) is inconsistent.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | (5160) ~ (all_54_15 = e3)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | (5161) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5161) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | (5162) all_54_15 = e2
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5162) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | (5163) all_10_2 = e2
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4957), (5163) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | (5164) $false
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5164) is inconsistent.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | (5165) ~ (all_54_15 = e2)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | (5166) all_54_15 = e1 | all_54_15 = e0
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5166) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | (5167) all_54_15 = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5167) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | (5168) all_10_2 = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5156), (5168) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | (5169) $false
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5169) is inconsistent.
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | (5170) all_54_15 = e0
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (5170) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | (5171) all_10_2 = e0
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (5171) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | (5172) ~ (all_52_3 = e0)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (5171) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | (5173) ~ (all_52_7 = e0)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (5171) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | (5174) ~ (e3 = e0)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4957), (5171) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | (5175) ~ (e2 = e0)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5156), (5171) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | (5176) ~ (e1 = e0)
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (5171) imply:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | (5177) op(e0, e0) = e0
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | (5178) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5178) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | (5179) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5179) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5180) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5180) gives:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5181) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5181) implies:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5182) op(e2, e3) = e2
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4909), (5182), (function-axioms) are
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1330.
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5183) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5183) implies:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5184) op(e0, e0) = e3
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5177), (5184), (function-axioms) are
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1216.
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (5185) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5185) gives:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5186) all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5186) implies:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5187) op(e2, e2) = e3
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4952), (5187), (function-axioms) are
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5188) all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_30)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5188) implies:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5189) op(e0, e0) = e3
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5177), (5189), (function-axioms) are
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1216.
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | (5190) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5190) gives:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (5191) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (4957), (5154), (5191),
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | #1286.
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (5192) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5192) gives:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5193) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5193) implies:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5194) all_57_26 = e2
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5195) all_57_20 = e1
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5196) ~ (all_57_30 = e2)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197) ~ (all_57_19 = e3)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198) op(e1, e2) = e1
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5199) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5199) gives:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5200) implies:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5201) op(e3, e2) = all_57_19
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5202) op(e3, all_57_26) = e3
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5194), (5202) imply:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5203) op(e3, e2) = e3
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (5197), (5201), (5203), (function-axioms)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #735.
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5204) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5204) implies:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5205) (all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4918), (5197), (5205), (function-axioms) are
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5206) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5206) gives:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5207) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5207) implies:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208) op(e1, e1) = all_57_30
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5209) op(e1, all_57_20) = e2
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5195), (5209) imply:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5210) op(e1, e1) = e2
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5196), (5208), (5210), (function-axioms) are
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1397.
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5211) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5211) implies:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5212) op(e0, e2) = all_57_21
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5213) op(e0, e3) = all_57_18
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5214) op(e0, all_57_21) = e2
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5215) (all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5215) gives:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5216) all_57_29 = e1 & op(e1, e0) = e1
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5216) implies:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5217) op(e1, e0) = e1
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e0,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4947), (5217) gives:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5218) e2 = e1
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (5218) imply:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5219) $false
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5219) is inconsistent.
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21, e2, e0, simplifying with (158), (5212)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5220) all_57_21 = all_52_7
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_18, e3, e0, simplifying with (159), (5213)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5221) all_57_18 = all_52_3
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (5198) gives:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5222) all_52_6 = e1
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5222) imply:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5223) ~ (all_52_7 = e1)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5223) implies:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5224) ~ (all_52_7 = e1)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5214), (5220) imply:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5225) op(e0, all_52_7) = e2
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5226) all_54_13 = e3
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (5226) imply:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5227) all_52_7 = e3
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5227) implies:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5228) all_52_7 = e3
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5225), (5228) imply:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5229) op(e0, e3) = e2
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (4911), (5229), (function-axioms) are
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5230) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (4955), (5173), (5224), (5230) are
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #734.
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5231) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (45), (4952), (4957), (5231),
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1467.
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (5232) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5232) gives:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | (5233) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5233) gives:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (5234) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (45), (4918), (5156), (5234),
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | #751.
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (5235) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (169), (226),
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (230), (4918), (5151), (5154),
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (5156), (5235), (function-axioms) are inconsistent
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #732.
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5236) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5236) gives:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (5237) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (164), (4932), (4947), (5237),
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | #750.
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (5238) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5238) gives:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5239) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5239) implies:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5240) op(e2, e0) = e2
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4932), (5240), (function-axioms) are
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5241) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5241) gives:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5242) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5242) implies:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5243) op(e2, e2) = e0
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4952), (5243), (function-axioms) are
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5244) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5244) implies:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5245) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (158), (159), (4918), (4952), (5154),
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5172), (5173), (5245), (function-axioms) are
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1143.
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | (5246) ( ~ (all_46_0 = e2) & op(e1, e0) = all_46_0 &
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | $i(all_46_0)) | ( ~ (all_46_1 = e3) & op(e1, e1)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4947), (5154), (5246), (function-axioms) are
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1132.
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | (5247) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 158.31/23.08 | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (4931), (4932), (5247),
% 158.31/23.08 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.08 | | | | | | | | | | | | | | | | | #731.
% 158.31/23.08 | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | (5248) all_54_5 = e1 | all_54_5 = e0
% 158.31/23.08 | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | REF_CLOSE: (268), (373), (4922), (5248) are inconsistent by
% 158.31/23.08 | | | | | | | | | | | | sub-proof #1084.
% 158.31/23.08 | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | End of split
% 158.31/23.08 | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | (5249) all_20_2 = e0
% 158.31/23.08 | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | COMBINE_EQS: (283), (5249) imply:
% 158.31/23.08 | | | | | | | | | | (5250) all_6_2 = e0
% 158.31/23.08 | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | REDUCE: (348), (5250) imply:
% 158.31/23.08 | | | | | | | | | | (5251) ~ (all_52_1 = e0)
% 158.31/23.08 | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | REDUCE: (355), (5250) imply:
% 158.31/23.08 | | | | | | | | | | (5252) ~ (all_52_7 = e0)
% 158.31/23.08 | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | REDUCE: (357), (5250) imply:
% 158.31/23.08 | | | | | | | | | | (5253) ~ (all_52_9 = e0)
% 158.31/23.08 | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | REDUCE: (359), (5250) imply:
% 158.31/23.08 | | | | | | | | | | (5254) ~ (all_52_13 = e0)
% 158.31/23.08 | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | REDUCE: (373), (5250) imply:
% 158.31/23.08 | | | | | | | | | | (5255) ~ (e1 = e0)
% 158.31/23.08 | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | REDUCE: (39), (5250) imply:
% 158.31/23.08 | | | | | | | | | | (5256) op(e2, e2) = e0
% 158.31/23.08 | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | BETA: splitting (4908) gives:
% 158.31/23.08 | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | (5257) ~ (all_14_0 = e1) & op(e2, e3) = all_14_0 &
% 158.31/23.08 | | | | | | | | | | | $i(all_14_0)
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | ALPHA: (5257) implies:
% 158.31/23.08 | | | | | | | | | | | (5258) ~ (all_14_0 = e1)
% 158.31/23.08 | | | | | | | | | | | (5259) op(e2, e3) = all_14_0
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 158.31/23.08 | | | | | | | | | | | all_14_0, e3, e2, simplifying with (167), (5259)
% 158.31/23.08 | | | | | | | | | | | gives:
% 158.31/23.08 | | | | | | | | | | | (5260) all_52_1 = all_14_0
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | COMBINE_EQS: (269), (5260) imply:
% 158.31/23.08 | | | | | | | | | | | (5261) all_54_4 = all_14_0
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | REDUCE: (149), (5260) imply:
% 158.31/23.08 | | | | | | | | | | | (5262) ~ (all_52_2 = all_14_0)
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | SIMP: (5262) implies:
% 158.31/23.08 | | | | | | | | | | | (5263) ~ (all_52_2 = all_14_0)
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | REDUCE: (148), (5260) imply:
% 158.31/23.08 | | | | | | | | | | | (5264) ~ (all_52_3 = all_14_0)
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | SIMP: (5264) implies:
% 158.31/23.08 | | | | | | | | | | | (5265) ~ (all_52_3 = all_14_0)
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | REDUCE: (146), (5260) imply:
% 158.31/23.08 | | | | | | | | | | | (5266) ~ (all_52_9 = all_14_0)
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | SIMP: (5266) implies:
% 158.31/23.08 | | | | | | | | | | | (5267) ~ (all_52_9 = all_14_0)
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | REDUCE: (145), (5260) imply:
% 158.31/23.08 | | | | | | | | | | | (5268) ~ (all_52_13 = all_14_0)
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | SIMP: (5268) implies:
% 158.31/23.08 | | | | | | | | | | | (5269) ~ (all_52_13 = all_14_0)
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | REDUCE: (4909), (5260) imply:
% 158.31/23.08 | | | | | | | | | | | (5270) ~ (all_14_0 = e2)
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | REDUCE: (5251), (5260) imply:
% 158.31/23.08 | | | | | | | | | | | (5271) ~ (all_14_0 = e0)
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | BETA: splitting (200) gives:
% 158.31/23.08 | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | (5272) all_54_4 = e3
% 158.31/23.08 | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | COMBINE_EQS: (5261), (5272) imply:
% 158.31/23.08 | | | | | | | | | | | | (5273) all_14_0 = e3
% 158.31/23.08 | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | REDUCE: (5263), (5273) imply:
% 158.31/23.08 | | | | | | | | | | | | (5274) ~ (all_52_2 = e3)
% 158.31/23.08 | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | REDUCE: (5265), (5273) imply:
% 158.31/23.08 | | | | | | | | | | | | (5275) ~ (all_52_3 = e3)
% 158.31/23.08 | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | REDUCE: (5267), (5273) imply:
% 158.31/23.08 | | | | | | | | | | | | (5276) ~ (all_52_9 = e3)
% 158.31/23.08 | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | REDUCE: (5269), (5273) imply:
% 158.31/23.08 | | | | | | | | | | | | (5277) ~ (all_52_13 = e3)
% 158.31/23.08 | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | REDUCE: (5259), (5273) imply:
% 158.31/23.08 | | | | | | | | | | | | (5278) op(e2, e3) = e3
% 158.31/23.08 | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | BETA: splitting (235) gives:
% 158.31/23.08 | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | (5279) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 158.31/23.08 | | | | | | | | | | | | | & op(e2, e3) = e3)
% 158.31/23.08 | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | BETA: splitting (5279) gives:
% 158.31/23.08 | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | (5280) all_56_0 = e3 & op(e3, e3) = e3
% 158.31/23.08 | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | REF_CLOSE: (9), (4917), (5280) are inconsistent by sub-proof
% 158.31/23.08 | | | | | | | | | | | | | | #1039.
% 158.31/23.08 | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | (5281) all_56_2 = e3 & op(e2, e3) = e3
% 158.31/23.08 | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | ALPHA: (5281) implies:
% 158.31/23.08 | | | | | | | | | | | | | | (5282) all_56_2 = e3
% 158.31/23.08 | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 158.31/23.08 | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | (5283) ~ (all_32_2 = e3)
% 158.31/23.08 | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | REDUCE: (301), (5283) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | (5284) ~ (all_4_2 = e3)
% 158.31/23.08 | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 158.31/23.08 | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | (5285) all_54_10 = e3
% 158.31/23.08 | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | REF_CLOSE: (335), (5284), (5285) are inconsistent by
% 158.31/23.08 | | | | | | | | | | | | | | | | sub-proof #1479.
% 158.31/23.08 | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | (5286) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 158.31/23.08 | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | BETA: splitting (5286) gives:
% 158.31/23.08 | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | (5287) all_54_10 = e2
% 158.31/23.08 | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (5287) are inconsistent by sub-proof
% 158.31/23.08 | | | | | | | | | | | | | | | | | #1478.
% 158.31/23.08 | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | (5288) all_54_10 = e1 | all_54_10 = e0
% 158.31/23.08 | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | BETA: splitting (5288) gives:
% 158.31/23.08 | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | (5289) all_54_10 = e1
% 158.31/23.08 | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (5289) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | (5290) all_4_2 = e1
% 158.31/23.08 | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | SIMP: (5290) implies:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | (5291) all_4_2 = e1
% 158.31/23.08 | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | REDUCE: (349), (5291) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | (5292) ~ (all_52_2 = e1)
% 158.31/23.08 | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | REDUCE: (360), (5291) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | (5293) ~ (all_52_6 = e1)
% 158.31/23.08 | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | REDUCE: (363), (5291) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | (5294) ~ (all_52_9 = e1)
% 158.31/23.08 | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | REDUCE: (36), (5291) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | (5295) op(e1, e1) = e1
% 158.31/23.08 | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 158.31/23.08 | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | (5296) all_54_6 = e3
% 158.31/23.08 | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (5276), (5296) are inconsistent by
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | sub-proof #1393.
% 158.31/23.08 | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | (5297) ~ (all_54_6 = e3)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | (5298) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 158.31/23.08 | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | BETA: splitting (5298) gives:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | (5299) all_54_6 = e2
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (5299) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | (5300) all_52_9 = e2
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | SIMP: (5300) implies:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | (5301) all_52_9 = e2
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (5301) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | (5302) ~ (all_52_13 = e2)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | SIMP: (5302) implies:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | (5303) ~ (all_52_13 = e2)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (5276), (5301) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | (5304) ~ (e3 = e2)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | (5305) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (4909), (5256), (5305),
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | #730.
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | (5306) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5306) gives:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | (5307) all_56_5 = e2 & op(e2, e1) = e2
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5307) implies:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | (5308) all_56_5 = e2
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | (5309) all_54_7 = e3
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (5309) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | (5310) all_52_13 = e3
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5277), (5310) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | (5311) $false
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5311) is inconsistent.
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | (5312) ~ (all_54_7 = e3)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | (5313) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5313) gives:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | (5314) all_54_7 = e2
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (5314) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | (5315) all_52_13 = e2
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5303), (5315) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | (5316) $false
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5316) is inconsistent.
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | (5317) ~ (all_54_7 = e2)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | (5318) all_54_7 = e1 | all_54_7 = e0
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5318) gives:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5319) all_54_7 = e1
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (5319) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5320) all_52_13 = e1
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (5320) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5321) ~ (all_52_14 = e1)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5321) implies:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5322) ~ (all_52_14 = e1)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (5320) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5323) ~ (all_10_2 = e1)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5323) implies:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5324) ~ (all_10_2 = e1)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5277), (5320) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5325) ~ (e3 = e1)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5303), (5320) imply:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | (5326) ~ (e2 = e1)
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (5327) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5327) gives:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5328) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5328) gives:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5329) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (167), (376), (4909), (5329),
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1289.
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5330) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (163), (376), (5292), (5330),
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1474.
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5331) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5331) gives:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5332) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4918), (5332), (function-axioms) are inconsistent
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #729.
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5333) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (5256), (5293), (5333),
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #728.
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (5334) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5334) gives:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5335) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5335) gives:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5336) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (45), (4918), (5324), (5336),
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #751.
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5337) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5337) gives:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5338) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5338) implies:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5339) op(e0, e0) = e1
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (5324), (5339), (function-axioms) are
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1180.
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5340) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5340) gives:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5341) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5341) implies:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5342) all_57_28 = e0
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5343) all_57_25 = e3
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5344) ~ (all_57_27 = e2)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5345) ~ (all_57_26 = e0)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5346) op(e3, e0) = e3
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5347) op(e3, e3) = all_57_26
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5348) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5348) gives:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5349) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5349) implies:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5350) op(e3, all_57_25) = e0
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5343), (5350) imply:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351) op(e3, e3) = e0
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5345), (5347), (5351), (function-axioms) are
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1225.
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5352) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5352) implies:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5353) op(e2, e0) = all_57_27
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5354) op(e2, all_57_28) = e2
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5342), (5354) imply:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5355) op(e2, e0) = e2
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5344), (5353), (5355), (function-axioms) are
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #727.
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5356) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5356) gives:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5357) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5357) implies:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5358) op(e1, e0) = all_57_29
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5359) op(e1, e3) = all_57_17
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5360) op(e1, all_57_17) = e3
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5361) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (4918), (5278), (5361),
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #726.
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5362) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5362) gives:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5363) all_56_6 = e1 & op(e1, e3) = e1
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5363) implies:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5364) op(e1, e3) = e1
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5292), (5364), (function-axioms) are
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5365) all_56_12 = e1 & op(e0, e3) = e1
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5365) implies:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5366) all_56_12 = e1
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5367) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5367) gives:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5368) all_56_0 = e0 & op(e3, e3) = e0
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5368) implies:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5369) op(e3, e3) = e0
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5345), (5347), (5369), (function-axioms) are
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1225.
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5370) all_56_2 = e0 & op(e2, e3) = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5370) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5371) all_56_2 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5372) op(e2, e3) = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (5256), (5371), (5372), (function-axioms)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #908.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5373) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5373) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5374) all_56_6 = e0 & op(e1, e3) = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5374) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5375) op(e1, e3) = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (168), (192), (249), (4911), (5275),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5346), (5358), (5359), (5360), (5375),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #725.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5376) all_56_12 = e0 & op(e0, e3) = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5376) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5377) all_56_12 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5366), (5377) are inconsistent by sub-proof
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1302.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5378) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5378) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5379) (all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5303), (5342), (5379), (function-axioms)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #724.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5380) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5380) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5381) all_57_30 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5382) all_57_25 = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5383) ~ (all_57_29 = e1)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5384) ~ (all_57_26 = e0)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385) op(e1, e1) = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5386) op(e3, e0) = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5387) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5387) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5388) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5388) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5389) op(e3, e3) = all_57_26
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5390) op(e3, all_57_25) = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5382), (5390) imply:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5391) op(e3, e3) = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5384), (5389), (5391), (function-axioms) are
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1225.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5392) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5392) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5393) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5394) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (5256), (5278), (5394),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #996.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5395) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5395) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5396) all_56_5 = e1 & op(e2, e1) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5396) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5397) all_56_5 = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5308), (5397) are inconsistent by sub-proof
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1208.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5398) all_56_10 = e1 & op(e2, e0) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5398) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5399) all_56_10 = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5393) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5400) all_57_21 = e0 & op(e0, e2) = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5400) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5401) op(e0, e2) = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5252), (5401), (function-axioms) are
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1190.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5402) ~ (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5402) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5403) ~ (all_57_31 = e2)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5404) op(e0, e0) = all_57_31
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5405) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5405) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5406) all_56_6 = e1 & op(e1, e3) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5406) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5407) op(e1, e3) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5292), (5407), (function-axioms) are
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5408) all_56_7 = e1 & op(e1, e2) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5408) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5409) all_56_7 = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5410) op(e1, e2) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5411) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (4912), (5256), (5411),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #723.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5412) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5412) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5413) all_56_7 = e2 & op(e1, e2) = e2
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5409), (5413) are inconsistent by sub-proof
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1133.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5414) all_56_13 = e2 & op(e0, e2) = e2
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5414) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5415) all_56_13 = e2
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5416) all_54_8 = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5274), (5416) are inconsistent by
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1388.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5417) ~ (all_54_8 = e3)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5418) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5418) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5419) all_54_8 = e2
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4910), (5419) are inconsistent by
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #722.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5420) ~ (all_54_8 = e2)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5421) all_54_8 = e1 | all_54_8 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5422) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5422) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5423) all_56_1 = e3 & op(e3, e2) = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5423) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5424) all_56_1 = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5425) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (4918), (5278), (5425),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #726.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5426) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5426) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5427) all_56_6 = e1 & op(e1, e3) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5427) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5428) op(e1, e3) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5292), (5428), (function-axioms) are
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5429) all_56_12 = e1 & op(e0, e3) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5429) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5430) all_56_12 = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5421) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5431) all_54_8 = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5292), (5431) are inconsistent by
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1238.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5432) all_54_8 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (5432) imply:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5433) all_52_2 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5433) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5434) all_52_2 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (5434) imply:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5435) ~ (all_52_3 = e0)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5435) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5436) ~ (all_52_3 = e0)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5274), (5434) imply:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5437) ~ (e3 = e0)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4910), (5434) imply:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5438) ~ (e2 = e0)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5439) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (4918), (5256), (5278),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5410), (5439), (function-axioms) are inconsistent
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #715.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5440) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5440) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5441) all_56_8 = e3 & op(e1, e1) = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5441) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5442) all_56_8 = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5443) all_54_12 = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (5275), (5443) are inconsistent by
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #864.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5444) ~ (all_54_12 = e3)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5445) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5445) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5446) all_54_12 = e2
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (4911), (5446) are inconsistent by
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1361.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5447) ~ (all_54_12 = e2)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5448) all_54_12 = e1 | all_54_12 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5449) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5449) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5450) all_56_4 = e0 & op(e3, e1) = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5450) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5451) all_56_4 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5452) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5452) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5453) all_56_0 = e1 & op(e3, e3) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5453) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5454) op(e3, e3) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4918), (5454), (function-axioms) are
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5455) all_56_1 = e1 & op(e3, e2) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (226), (227), (228), (249), (4911),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5256), (5275), (5295), (5385), (5436), (5448),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5455), (function-axioms) are inconsistent by
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #714.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5456) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5456) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5457) all_56_4 = e1 & op(e3, e1) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5457) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5458) all_56_4 = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5451), (5458) are inconsistent by sub-proof
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1373.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5459) all_56_9 = e1 & op(e3, e0) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (167),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (221), (222), (223), (376), (4909),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5256), (5278), (5282), (5303), (5386), (5403),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5404), (5459), (function-axioms) are inconsistent
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #710.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5460) all_56_5 = e0 & op(e2, e1) = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5308), (5460) are inconsistent by sub-proof
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #787.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5461) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5461) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5462) all_56_8 = e0 & op(e1, e1) = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5462) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5463) all_56_8 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5442), (5463) imply:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5464) e3 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5464) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465) e3 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5424), (5465) imply:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5466) all_56_1 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (5256),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5415), (5466), (function-axioms) are inconsistent
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1008.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467) all_56_14 = e0 & op(e0, e1) = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5467) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5468) all_56_14 = e0
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (45), (209), (376), (5415), (5430),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5468), (function-axioms) are inconsistent by
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1029.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5469) all_56_11 = e3 & op(e1, e0) = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5469) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5470) all_56_11 = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (211), (5303), (5386), (5403), (5404),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5470), (function-axioms) are inconsistent by
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #711.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471) all_56_3 = e3 & op(e2, e2) = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5471) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5472) op(e2, e2) = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5256), (5472), (function-axioms) are
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (5410), (5415), (5473),
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #709.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5474) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5474) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5475) all_56_8 = e1 & op(e1, e1) = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5475) implies:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5476) all_56_8 = e1
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5477) all_54_8 = e3
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5274), (5477) are inconsistent by
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1388.
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5478) ~ (all_54_8 = e3)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5479) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5479) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5480) all_54_8 = e2
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4910), (5480) are inconsistent by
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #722.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5481) ~ (all_54_8 = e2)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5482) all_54_8 = e1 | all_54_8 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5482) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5483) all_54_8 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5292), (5483) are inconsistent by
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1238.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5484) all_54_8 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (5484) imply:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5485) all_52_2 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5485) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5486) all_52_2 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (5486) imply:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5487) ~ (all_52_3 = e0)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5487) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5488) ~ (all_52_3 = e0)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5274), (5486) imply:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5489) ~ (e3 = e0)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4910), (5486) imply:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5490) ~ (e2 = e0)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5491) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5491) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5492) all_56_0 = e1 & op(e3, e3) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5492) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5493) op(e3, e3) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4918), (5493), (function-axioms) are
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5494) all_56_1 = e1 & op(e3, e2) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (192), (226), (227), (228), (249),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4911), (5256), (5275), (5295), (5385), (5488),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5494), (function-axioms) are inconsistent by
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #707.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5495) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5495) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5496) all_56_4 = e1 & op(e3, e1) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5496) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5497) all_56_4 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (217), (220), (5308),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5476), (5497) are inconsistent by sub-proof
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1071.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5498) all_56_9 = e1 & op(e3, e0) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (164), (167),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (221), (222), (223), (376), (4909),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5256), (5278), (5282), (5303), (5386), (5403),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5404), (5498), (function-axioms) are inconsistent
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #710.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5499) all_56_11 = e1 & op(e1, e0) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5499) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5500) all_56_11 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5501) op(e1, e0) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (164), (206), (211),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5303), (5386), (5399), (5500), (5501),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #704.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5502) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5502) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5503) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5503) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5504) op(e1, e1) = all_57_30
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5505) op(e1, all_57_30) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5506) (all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5381), (5505) imply:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5507) op(e1, e0) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5508) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (5256), (5278), (5508),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #996.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5509) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5509) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5510) all_56_5 = e1 & op(e2, e1) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5510) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511) all_56_5 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5308), (5511) are inconsistent by sub-proof
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1208.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5512) all_56_10 = e1 & op(e2, e0) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5512) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5513) all_56_10 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5514) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5514) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5515) all_56_6 = e1 & op(e1, e3) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5515) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5516) op(e1, e3) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5292), (5516), (function-axioms) are
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517) all_56_7 = e1 & op(e1, e2) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5517) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518) all_56_7 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519) op(e1, e2) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (4912), (5256), (5520),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #723.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5521) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5521) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5522) all_56_7 = e2 & op(e1, e2) = e2
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5518), (5522) are inconsistent by sub-proof
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1133.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5523) all_56_13 = e2 & op(e0, e2) = e2
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5523) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5524) all_56_13 = e2
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5525) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5525) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526) all_56_1 = e3 & op(e3, e2) = e3
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5526) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527) all_56_1 = e3
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5528) all_54_8 = e3
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5274), (5528) are inconsistent by
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1388.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5529) ~ (all_54_8 = e3)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5530) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5531) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (4918), (5256), (5278),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5524), (5531), (function-axioms) are inconsistent
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #700.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5532) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5532) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5533) all_56_14 = e3 & op(e0, e1) = e3
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5533) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5534) all_56_14 = e3
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5530) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5535) all_54_8 = e2
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4910), (5535) are inconsistent by
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #722.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5536) ~ (all_54_8 = e2)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5537) all_54_8 = e1 | all_54_8 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5537) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5538) all_54_8 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5292), (5538) are inconsistent by
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1238.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5539) all_54_8 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (5539) imply:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5540) all_52_2 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5540) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5541) all_52_2 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (5541) imply:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5542) ~ (all_52_3 = e0)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5542) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5543) ~ (all_52_3 = e0)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5274), (5541) imply:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5544) ~ (e3 = e0)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4910), (5541) imply:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5545) ~ (e2 = e0)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5546) all_56_15 = e0 & op(e0, e0) = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5546) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5547) all_56_15 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5548) op(e0, e0) = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5549) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5549) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5550) all_56_12 = e1 & op(e0, e3) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5550) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5551) all_56_12 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5552) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5552) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5553) all_56_4 = e0 & op(e3, e1) = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5553) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5554) all_56_4 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5555) op(e3, e1) = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5556) all_54_12 = e3
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (5275), (5556) are inconsistent by
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #864.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5557) ~ (all_54_12 = e3)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5558) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5558) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5559) all_54_12 = e2
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (4911), (5559) are inconsistent by
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1361.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5560) ~ (all_54_12 = e2)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5561) all_54_12 = e1 | all_54_12 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5562) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5562) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5563) all_56_0 = e1 & op(e3, e3) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5563) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5564) op(e3, e3) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5506), (5555), (5564), (function-axioms) are
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #902.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5565) all_56_1 = e1 & op(e3, e2) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (226), (227), (228), (249), (4911),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5256), (5275), (5295), (5385), (5543), (5561),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5565), (function-axioms) are inconsistent by
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #714.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5566) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5566) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5567) all_56_4 = e1 & op(e3, e1) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5567) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5568) all_56_4 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5554), (5568) are inconsistent by sub-proof
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1373.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5569) all_56_9 = e1 & op(e3, e0) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5569) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5570) all_56_9 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (167), (212),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (4909), (5256), (5278),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5282), (5507), (5548), (5570), (function-axioms)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #699.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5571) all_56_5 = e0 & op(e2, e1) = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5571) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5572) all_56_5 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5308), (5572) are inconsistent by sub-proof
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1074.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5573) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5573) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5574) all_56_8 = e0 & op(e1, e1) = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5574) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5575) all_56_8 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5576) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (4918), (5256), (5278),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519), (5576), (function-axioms) are inconsistent
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #715.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5577) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5577) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5578) all_56_8 = e3 & op(e1, e1) = e3
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5578) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5579) all_56_8 = e3
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5575), (5579) imply:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5580) e3 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5527), (5580) imply:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5581) all_56_1 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (5256),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5524), (5581), (function-axioms) are inconsistent
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1008.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5582) all_56_11 = e3 & op(e1, e0) = e3
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5582) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5583) op(e1, e0) = e3
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (5507), (5583), (function-axioms) are
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1217.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5584) all_56_14 = e0 & op(e0, e1) = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5584) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5585) all_56_14 = e0
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (45), (209), (376), (5524), (5551),
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5585), (function-axioms) are inconsistent by
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1029.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5586) all_56_13 = e1 & op(e0, e2) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5586) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5587) all_56_13 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5524), (5587) are inconsistent by sub-proof
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1193.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5588) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5588) gives:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5589) all_56_14 = e1 & op(e0, e1) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5589) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5590) all_56_14 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5534), (5590) are inconsistent by sub-proof
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1194.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5591) all_56_15 = e1 & op(e0, e0) = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5591) implies:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5592) all_56_15 = e1
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5547), (5592) are inconsistent by sub-proof
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1419.
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5593) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5593) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5594) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (5386), (5507), (5513), (5594),
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #705.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5595) all_56_15 = e3 & op(e0, e0) = e3
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5595) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5596) op(e0, e0) = e3
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (376), (5596), (function-axioms) are
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5597) all_56_3 = e3 & op(e2, e2) = e3
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5597) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5598) op(e2, e2) = e3
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5256), (5598), (function-axioms) are
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5599) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (5519), (5524), (5599),
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #709.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5600) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5600) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5601) all_56_8 = e1 & op(e1, e1) = e1
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5601) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5602) all_56_8 = e1
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5603) all_54_8 = e3
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5274), (5603) are inconsistent by
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1388.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5604) ~ (all_54_8 = e3)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5605) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5605) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5606) all_54_8 = e2
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4910), (5606) are inconsistent by
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #722.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5607) ~ (all_54_8 = e2)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5608) all_54_8 = e1 | all_54_8 = e0
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5609) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5609) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5610) all_56_0 = e1 & op(e3, e3) = e1
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5610) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5611) op(e3, e3) = e1
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4918), (5611), (function-axioms) are
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5612) all_56_1 = e1 & op(e3, e2) = e1
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (144), (192), (226), (227), (228), (249),
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (4910), (4911), (5256), (5274), (5275),
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5292), (5295), (5385), (5608), (5612),
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #698.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5613) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5613) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5614) all_56_4 = e1 & op(e3, e1) = e1
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5614) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5615) all_56_4 = e1
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (217), (220), (5308),
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5602), (5615) are inconsistent by sub-proof
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1071.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5616) all_56_9 = e1 & op(e3, e0) = e1
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5616) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5617) all_56_9 = e1
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5618) all_56_15 = e0 & op(e0, e0) = e0
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5618) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5619) op(e0, e0) = e0
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (167), (212),
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (4909), (5256), (5278),
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5282), (5507), (5617), (5619), (function-axioms)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #699.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5620) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5620) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5621) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (5386), (5507), (5513), (5621),
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #705.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5622) all_56_11 = e1 & op(e1, e0) = e1
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5622) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5623) all_56_11 = e1
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (164), (206), (211),
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5303), (5386), (5507), (5513), (5623),
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #704.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5624) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5624) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5625) (all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5381), (5383), (5625) are inconsistent by
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #697.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5626) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5626) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5627) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (5303), (5322), (5627),
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1337.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5628) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5628) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5629) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5629) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5630) op(e2, e0) = e2
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5303), (5630), (function-axioms) are
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5631) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5631) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5632) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5633) op(e1, e0) = e1
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5322), (5633), (function-axioms) are
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1338.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5634) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5634) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5635) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5635) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5636) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5636) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5637) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5637) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5638) op(e2, e2) = e3
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5256), (5638), (function-axioms) are
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5639) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5639) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5640) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5640) implies:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5641) all_57_30 = e3
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5642) all_57_18 = e0
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5643) ~ (all_57_31 = e3)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5644) op(e0, e3) = e0
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5645) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5645) gives:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5646) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5292), (5641), (5646), (function-axioms)
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1139.
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5647) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5647) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5648) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (5256), (5278), (5649),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #996.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5650) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5651) all_56_5 = e1 & op(e2, e1) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5651) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5652) all_56_5 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5308), (5652) are inconsistent by sub-proof
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1208.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5653) all_56_10 = e1 & op(e2, e0) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5653) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5654) all_56_10 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5655) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (5292), (5293), (5655),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1083.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5656) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5656) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5657) all_56_8 = e1 & op(e1, e1) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5657) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5658) all_56_8 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5648) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5659) all_57_21 = e0 & op(e0, e2) = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5659) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5660) op(e0, e2) = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5252), (5660), (function-axioms) are
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1190.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5661) ~ (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5661) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5662) ~ (all_57_31 = e2)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5663) op(e0, e0) = all_57_31
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5664) all_54_8 = e3
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (5274), (5664) are inconsistent by
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1388.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5665) ~ (all_54_8 = e3)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5666) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5666) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5667) all_54_8 = e2
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (4910), (5667) are inconsistent by
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #722.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5668) ~ (all_54_8 = e2)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5669) all_54_8 = e1 | all_54_8 = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5670) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (4918), (5256), (5670), (function-axioms)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #721.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5671) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5671) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5672) all_56_6 = e0 & op(e1, e3) = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5672) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5673) all_56_6 = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5674) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (4918), (5278), (5674),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #726.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5675) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5675) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5676) all_56_6 = e1 & op(e1, e3) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5676) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5677) op(e1, e3) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5292), (5677), (function-axioms) are
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678) all_56_12 = e1 & op(e0, e3) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5678) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5679) all_56_12 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5680) op(e0, e3) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5681) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5681) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5682) all_56_1 = e1 & op(e3, e2) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5682) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5683) all_56_1 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e3,
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (5644), (5680) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5684) e1 = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5683), (5684) imply:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5685) all_56_1 = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5256), (5685), (function-axioms) are inconsistent
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1007.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5686) all_56_3 = e1 & op(e2, e2) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5686) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5687) op(e2, e2) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5256), (5687), (function-axioms) are
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5688) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5688) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5689) all_56_7 = e1 & op(e1, e2) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5689) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5690) op(e1, e2) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5293), (5690), (function-axioms) are
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5691) all_56_13 = e1 & op(e0, e2) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5691) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5692) all_56_13 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5693) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5693) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5694) all_56_12 = e3 & op(e0, e3) = e3
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5694) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5695) all_56_12 = e3
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (231), (4918), (5278), (5673),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5695), (function-axioms) are inconsistent by
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #702.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5696) all_56_13 = e3 & op(e0, e2) = e3
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5696) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5697) all_56_13 = e3
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5692), (5697) are inconsistent by sub-proof
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1403.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5698) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5698) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5699) all_56_14 = e3 & op(e0, e1) = e3
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5699) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5700) all_56_14 = e3
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5701) all_56_15 = e0 & op(e0, e0) = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5701) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5702) op(e0, e0) = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5703) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (4914), (5303), (5703),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #696.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5704) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5704) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5705) all_56_11 = e2 & op(e1, e0) = e2
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5705) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5706) all_56_11 = e2
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (170), (216),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (227), (229), (231), (4912),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918), (5256), (5278), (5658), (5692), (5706),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #694.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5707) all_56_15 = e2 & op(e0, e0) = e2
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5707) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5708) op(e0, e0) = e2
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5702), (5708), (function-axioms) are
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1100.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5709) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5709) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5710) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (158), (5252), (5679), (5700), (5710),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #935.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5711) all_56_15 = e3 & op(e0, e0) = e3
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5711) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5712) op(e0, e0) = e3
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5643), (5663), (5712), (function-axioms) are
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1231.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5713) all_56_12 = e0 & op(e0, e3) = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5713) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5714) all_56_12 = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5715) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5715) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5716) all_56_12 = e1 & op(e0, e3) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5714), (5716) are inconsistent by sub-proof
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #719.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717) all_56_13 = e1 & op(e0, e2) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5717) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5718) all_56_13 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5719) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (4914), (5303), (5719),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #696.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5720) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721) all_56_11 = e2 & op(e1, e0) = e2
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5721) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5722) all_56_11 = e2
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (170), (216),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (227), (229), (231), (4912),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918), (5256), (5278), (5658), (5718), (5722),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #694.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723) all_56_15 = e2 & op(e0, e0) = e2
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5723) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5724) op(e0, e0) = e2
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5662), (5663), (5724), (function-axioms) are
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1239.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5725) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5725) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5726) all_56_14 = e1 & op(e0, e1) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5726) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5727) all_56_14 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5728) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5729) all_56_1 = e1 & op(e3, e2) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5729) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5730) all_56_1 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5731) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5731) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5732) all_56_4 = e0 & op(e3, e1) = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5732) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5733) op(e3, e1) = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (5308), (5658), (5727),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5733), (function-axioms) are inconsistent by
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #923.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5734) all_56_5 = e0 & op(e2, e1) = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5734) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5735) all_56_5 = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5308), (5735) are inconsistent by sub-proof
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1074.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5736) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5736) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5737) all_56_8 = e0 & op(e1, e1) = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5737) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5738) op(e1, e1) = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (144), (192), (226), (227), (228), (249),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (259), (4910), (4911), (5256), (5274), (5275),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5292), (5295), (5669), (5729), (5738),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #698.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5739) all_56_14 = e0 & op(e0, e1) = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5739) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740) all_56_14 = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5727), (5740) imply:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5741) e1 = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5730), (5741) imply:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742) all_56_1 = e0
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5256), (5742), (function-axioms) are inconsistent
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1007.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5743) all_56_3 = e1 & op(e2, e2) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5743) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744) op(e2, e2) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5256), (5744), (function-axioms) are
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5745) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5746) all_56_7 = e1 & op(e1, e2) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5746) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5747) op(e1, e2) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5293), (5747), (function-axioms) are
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748) all_56_13 = e1 & op(e0, e2) = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5748) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5749) all_56_13 = e1
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5750) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5750) gives:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5751) all_56_12 = e3 & op(e0, e3) = e3
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5751) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5752) all_56_12 = e3
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (4918), (5256), (5278),
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5752), (function-axioms) are inconsistent by
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #701.
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5753) all_56_13 = e3 & op(e0, e2) = e3
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5753) implies:
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5754) all_56_13 = e3
% 158.31/23.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5749), (5754) are inconsistent by sub-proof
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1403.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5755) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5755) gives:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5756) all_56_14 = e3 & op(e0, e1) = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5756) implies:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5757) all_56_14 = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5727), (5757) are inconsistent by sub-proof
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1194.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758) all_56_15 = e3 & op(e0, e0) = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5758) implies:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5759) op(e0, e0) = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5643), (5663), (5759), (function-axioms) are
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1231.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5760) all_56_15 = e1 & op(e0, e0) = e1
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5760) implies:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5761) op(e0, e0) = e1
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (5324), (5761), (function-axioms) are
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1180.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762) all_56_11 = e1 & op(e1, e0) = e1
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5762) implies:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5763) all_56_11 = e1
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5764) op(e1, e0) = e1
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5765) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5765) gives:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5766) all_56_9 = e3 & op(e3, e0) = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5766) implies:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5767) op(e3, e0) = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (164), (206), (211),
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5303), (5654), (5763), (5764), (5767),
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #704.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5768) all_56_10 = e3 & op(e2, e0) = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5768) implies:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5769) all_56_10 = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (221), (222),
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (4909), (5256), (5278), (5282), (5769),
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #713.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5770) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (160), (376), (5764), (5770),
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1181.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5771) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5771) gives:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5772) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5772) implies:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5773) op(e1, all_57_30) = e1
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5641), (5773) imply:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5774) op(e1, e3) = e1
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5292), (5774), (function-axioms) are
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5775) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5775) implies:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5776) op(e0, e0) = all_57_31
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5777) op(e0, all_57_18) = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5642), (5777) imply:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5778) op(e0, e0) = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5643), (5776), (5778), (function-axioms) are
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1231.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5779) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5779) implies:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5780) op(e0, e2) = e0
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5252), (5780), (function-axioms) are
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1190.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5781) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5781) gives:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5782) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5782) implies:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5783) op(e0, e2) = e0
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5252), (5783), (function-axioms) are
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1190.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5784) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (4918), (5256), (5784),
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #693.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5785) all_54_7 = e0
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (5785) imply:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5786) all_52_13 = e0
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5254), (5786) imply:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5787) $false
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5787) is inconsistent.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | (5788) all_56_10 = e2 & op(e2, e0) = e2
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5788) implies:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | (5789) op(e2, e0) = e2
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5303), (5789), (function-axioms) are
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | (5790) all_54_6 = e1 | all_54_6 = e0
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (5253), (5294), (5790) are inconsistent by
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | | sub-proof #964.
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | (5791) all_54_10 = e0
% 158.31/23.14 | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (5791) are inconsistent by sub-proof
% 158.31/23.14 | | | | | | | | | | | | | | | | | | #1332.
% 158.31/23.14 | | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | (5792) all_32_2 = e3
% 158.31/23.14 | | | | | | | | | | | | | | | (5793) ( ~ (all_32_0 = e0) & op(e3, e1) = all_32_0 &
% 158.31/23.14 | | | | | | | | | | | | | | | $i(all_32_0)) | ( ~ (all_32_1 = e2) & op(e3, e3)
% 158.31/23.14 | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 158.31/23.14 | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | COMBINE_EQS: (301), (5792) imply:
% 158.31/23.14 | | | | | | | | | | | | | | | (5794) all_4_2 = e3
% 158.31/23.14 | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | REDUCE: (367), (5794) imply:
% 158.31/23.14 | | | | | | | | | | | | | | | (5795) ~ (all_52_14 = e3)
% 158.31/23.14 | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 158.31/23.14 | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | (5796) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 158.31/23.14 | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 158.31/23.14 | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | BETA: splitting (5796) gives:
% 158.31/23.14 | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | (5797) all_56_9 = e3 & op(e3, e0) = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | ALPHA: (5797) implies:
% 158.31/23.14 | | | | | | | | | | | | | | | | | (5798) op(e3, e0) = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (226), (227),
% 158.31/23.14 | | | | | | | | | | | | | | | | | (228), (230), (4918), (5256), (5793), (5798),
% 158.31/23.14 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.14 | | | | | | | | | | | | | | | | | #1002.
% 158.31/23.14 | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | (5799) all_56_10 = e3 & op(e2, e0) = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | ALPHA: (5799) implies:
% 158.31/23.14 | | | | | | | | | | | | | | | | | (5800) all_56_10 = e3
% 158.31/23.14 | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (221), (222),
% 158.31/23.14 | | | | | | | | | | | | | | | | | (223), (4909), (5256), (5278), (5282), (5800),
% 158.31/23.14 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.14 | | | | | | | | | | | | | | | | | #713.
% 158.31/23.14 | | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | (5801) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 158.31/23.14 | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.31/23.14 | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (160), (376), (5795), (5801),
% 158.31/23.14 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.14 | | | | | | | | | | | | | | | | #1292.
% 158.31/23.14 | | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | (5802) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 158.31/23.14 | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | BETA: splitting (5802) gives:
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | (5803) all_56_6 = e3 & op(e1, e3) = e3
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | ALPHA: (5803) implies:
% 158.31/23.14 | | | | | | | | | | | | | | (5804) all_56_6 = e3
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 158.31/23.14 | | | | | | | | | | | | | | (224), (229), (231), (4918), (5256), (5278),
% 158.31/23.14 | | | | | | | | | | | | | | (5804), (function-axioms) are inconsistent by
% 158.31/23.14 | | | | | | | | | | | | | | sub-proof #717.
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | (5805) all_56_12 = e3 & op(e0, e3) = e3
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | ALPHA: (5805) implies:
% 158.31/23.14 | | | | | | | | | | | | | | (5806) all_56_12 = e3
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 158.31/23.14 | | | | | | | | | | | | | | (224), (229), (231), (4918), (5256), (5278),
% 158.31/23.14 | | | | | | | | | | | | | | (5806), (function-axioms) are inconsistent by
% 158.31/23.14 | | | | | | | | | | | | | | sub-proof #701.
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | (5807) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 158.31/23.14 | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | BETA: splitting (5807) gives:
% 158.31/23.14 | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | (5808) all_54_4 = e2
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | COMBINE_EQS: (5261), (5808) imply:
% 158.31/23.14 | | | | | | | | | | | | | (5809) all_14_0 = e2
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | REDUCE: (5270), (5809) imply:
% 158.31/23.14 | | | | | | | | | | | | | (5810) $false
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | CLOSE: (5810) is inconsistent.
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | (5811) all_54_4 = e1 | all_54_4 = e0
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | BETA: splitting (5811) gives:
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | (5812) all_54_4 = e1
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | COMBINE_EQS: (5261), (5812) imply:
% 158.31/23.14 | | | | | | | | | | | | | | (5813) all_14_0 = e1
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | REDUCE: (5258), (5813) imply:
% 158.31/23.14 | | | | | | | | | | | | | | (5814) $false
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | CLOSE: (5814) is inconsistent.
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | (5815) all_54_4 = e0
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | COMBINE_EQS: (5261), (5815) imply:
% 158.31/23.14 | | | | | | | | | | | | | | (5816) all_14_0 = e0
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | REDUCE: (5271), (5816) imply:
% 158.31/23.14 | | | | | | | | | | | | | | (5817) $false
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | CLOSE: (5817) is inconsistent.
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | (5818) ~ (all_14_1 = e0) & op(e2, e2) = all_14_1 &
% 158.31/23.14 | | | | | | | | | | | $i(all_14_1)
% 158.31/23.14 | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | ALPHA: (5818) implies:
% 158.31/23.14 | | | | | | | | | | | (5819) ~ (all_14_1 = e0)
% 158.31/23.14 | | | | | | | | | | | (5820) op(e2, e2) = all_14_1
% 158.31/23.14 | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | REF_CLOSE: (5256), (5819), (5820), (function-axioms) are
% 158.31/23.14 | | | | | | | | | | | inconsistent by sub-proof #692.
% 158.31/23.14 | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | End of split
% 158.31/23.14 | | | | | | | | |
% 158.31/23.14 | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | |
% 158.31/23.14 | | | | | | | | | (5821) all_16_2 = e3
% 158.31/23.14 | | | | | | | | |
% 158.31/23.14 | | | | | | | | | COMBINE_EQS: (328), (5821) imply:
% 158.31/23.14 | | | | | | | | | (5822) all_6_2 = e3
% 158.31/23.14 | | | | | | | | |
% 158.31/23.14 | | | | | | | | | SIMP: (5822) implies:
% 158.31/23.14 | | | | | | | | | (5823) all_6_2 = e3
% 158.31/23.14 | | | | | | | | |
% 158.31/23.14 | | | | | | | | | COMBINE_EQS: (332), (5823) imply:
% 158.31/23.14 | | | | | | | | | (5824) all_38_2 = e3
% 158.31/23.14 | | | | | | | | |
% 158.31/23.14 | | | | | | | | | REDUCE: (351), (5823) imply:
% 158.31/23.14 | | | | | | | | | (5825) ~ (all_52_4 = e3)
% 158.31/23.14 | | | | | | | | |
% 158.31/23.14 | | | | | | | | | REDUCE: (353), (5823) imply:
% 158.31/23.14 | | | | | | | | | (5826) ~ (all_52_6 = e3)
% 158.31/23.14 | | | | | | | | |
% 158.31/23.14 | | | | | | | | | REDUCE: (355), (5823) imply:
% 158.31/23.14 | | | | | | | | | (5827) ~ (all_52_7 = e3)
% 158.31/23.14 | | | | | | | | |
% 158.31/23.14 | | | | | | | | | REDUCE: (357), (5823) imply:
% 158.31/23.14 | | | | | | | | | (5828) ~ (all_52_9 = e3)
% 158.31/23.14 | | | | | | | | |
% 158.31/23.14 | | | | | | | | | REDUCE: (359), (5823) imply:
% 158.31/23.14 | | | | | | | | | (5829) ~ (all_52_13 = e3)
% 158.31/23.14 | | | | | | | | |
% 158.31/23.14 | | | | | | | | | REDUCE: (39), (5823) imply:
% 158.31/23.14 | | | | | | | | | (5830) op(e2, e2) = e3
% 158.31/23.14 | | | | | | | | |
% 158.31/23.14 | | | | | | | | | BETA: splitting (79) gives:
% 158.31/23.14 | | | | | | | | |
% 158.31/23.14 | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | (5831) ~ (all_32_2 = e3)
% 158.31/23.14 | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | REDUCE: (301), (5831) imply:
% 158.31/23.14 | | | | | | | | | | (5832) ~ (all_4_2 = e3)
% 158.31/23.14 | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | BETA: splitting (194) gives:
% 158.31/23.14 | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | (5833) all_54_10 = e3
% 158.31/23.14 | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | COMBINE_EQS: (335), (5833) imply:
% 158.31/23.14 | | | | | | | | | | | (5834) all_4_2 = e3
% 158.31/23.14 | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | REDUCE: (5832), (5834) imply:
% 158.31/23.14 | | | | | | | | | | | (5835) $false
% 158.31/23.14 | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | CLOSE: (5835) is inconsistent.
% 158.31/23.14 | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | (5836) ~ (all_54_10 = e3)
% 158.31/23.14 | | | | | | | | | | | (5837) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 158.31/23.14 | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | BETA: splitting (5837) gives:
% 158.31/23.14 | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | (5838) all_54_10 = e2
% 158.31/23.14 | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | COMBINE_EQS: (335), (5838) imply:
% 158.31/23.14 | | | | | | | | | | | | (5839) all_4_2 = e2
% 158.31/23.14 | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | REDUCE: (375), (5839) imply:
% 158.31/23.14 | | | | | | | | | | | | (5840) $false
% 158.31/23.14 | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | CLOSE: (5840) is inconsistent.
% 158.31/23.14 | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | (5841) ~ (all_54_10 = e2)
% 158.31/23.14 | | | | | | | | | | | | (5842) all_54_10 = e1 | all_54_10 = e0
% 158.31/23.14 | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | BETA: splitting (5842) gives:
% 158.31/23.14 | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | (5843) all_54_10 = e1
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | COMBINE_EQS: (335), (5843) imply:
% 158.31/23.14 | | | | | | | | | | | | | (5844) all_4_2 = e1
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | REDUCE: (349), (5844) imply:
% 158.31/23.14 | | | | | | | | | | | | | (5845) ~ (all_52_2 = e1)
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | REDUCE: (360), (5844) imply:
% 158.31/23.14 | | | | | | | | | | | | | (5846) ~ (all_52_6 = e1)
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | REDUCE: (363), (5844) imply:
% 158.31/23.14 | | | | | | | | | | | | | (5847) ~ (all_52_9 = e1)
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | REDUCE: (367), (5844) imply:
% 158.31/23.14 | | | | | | | | | | | | | (5848) ~ (all_52_14 = e1)
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | REDUCE: (5832), (5844) imply:
% 158.31/23.14 | | | | | | | | | | | | | (5849) ~ (e3 = e1)
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | REDUCE: (375), (5844) imply:
% 158.31/23.14 | | | | | | | | | | | | | (5850) ~ (e2 = e1)
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | BETA: splitting (214) gives:
% 158.31/23.14 | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | (5851) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 158.31/23.14 | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (5845), (5846), (5851),
% 158.31/23.14 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.14 | | | | | | | | | | | | | | #1083.
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | Case 2:
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | (5852) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 158.31/23.14 | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | BETA: splitting (5852) gives:
% 158.31/23.14 | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | Case 1:
% 158.31/23.14 | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | (5853) all_56_8 = e1 & op(e1, e1) = e1
% 158.31/23.14 | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | ALPHA: (5853) implies:
% 158.31/23.14 | | | | | | | | | | | | | | | (5854) all_56_8 = e1
% 158.31/23.14 | | | | | | | | | | | | | | | (5855) op(e1, e1) = e1
% 158.31/23.14 | | | | | | | | | | | | | | |
% 158.31/23.14 | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 158.31/23.15 | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | Case 1:
% 158.31/23.15 | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | (5856) ~ (all_30_2 = e2)
% 158.31/23.15 | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | REDUCE: (309), (5856) imply:
% 158.31/23.15 | | | | | | | | | | | | | | | | (5857) ~ (all_10_2 = e2)
% 158.31/23.15 | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 158.31/23.15 | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.15 | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | (5858) ~ (all_40_2 = e1)
% 158.31/23.15 | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | REDUCE: (307), (5858) imply:
% 158.31/23.15 | | | | | | | | | | | | | | | | | (5859) ~ (all_10_2 = e1)
% 158.31/23.15 | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.31/23.15 | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.15 | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (5860) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.15 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.15 | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.15 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.31/23.15 | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.15 | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.31/23.15 | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.15 | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.15 | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | BETA: splitting (5860) gives:
% 158.31/23.15 | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (5861) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (5861) gives:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (5862) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (167), (376), (4909), (5862),
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | #1289.
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (5863) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (163), (376), (5845), (5863),
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | #1474.
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (5864) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (5864) gives:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (5865) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (45), (375), (5857), (5865),
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | #1470.
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (5866) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5866) gives:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (5867) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5867) implies:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (5868) op(e1, e2) = e1
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5846), (5868), (function-axioms) are
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (5869) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (5830), (5857), (5869),
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | #802.
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.15 | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.15 | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (5870) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.15 | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.15 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.31/23.15 | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.31/23.15 | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.31/23.15 | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.31/23.15 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.31/23.15 | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.31/23.15 | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.31/23.15 | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.15 | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | BETA: splitting (5870) gives:
% 158.31/23.15 | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (5871) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (5871) gives:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (5872) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (45), (4918), (5859), (5872),
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | #751.
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (5873) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (45), (5830), (5855), (5859), (5873),
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | #765.
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (5874) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (5874) gives:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (5875) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5875) gives:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (5876) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5876) implies:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (5877) op(e3, e3) = e0
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4918), (5877), (function-axioms) are
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1228.
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (5878) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5878) implies:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (5879) op(e1, e0) = e1
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5848), (5879), (function-axioms) are
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1338.
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (5880) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5880) gives:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (5881) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5881) implies:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (5882) op(e1, e1) = e0
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5855), (5882), (function-axioms) are
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1455.
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (5883) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5883) gives:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | (5884) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5884) implies:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | (5885) op(e2, e2) = e0
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5830), (5885), (function-axioms) are
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | (5886) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.15 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5886) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | (5887) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (36), (158), (159), (189), (246), (350),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | (361), (375), (376), (4918), (5830), (5857),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | (5859), (5887), (function-axioms) are inconsistent
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #832.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | (5888) all_40_2 = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (5888) imply:
% 158.31/23.16 | | | | | | | | | | | | | | | | | (5889) all_10_2 = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | REDUCE: (45), (5889) imply:
% 158.31/23.16 | | | | | | | | | | | | | | | | | (5890) op(e0, e0) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | (5891) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.31/23.16 | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | BETA: splitting (5891) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (5892) all_56_2 = e1 & op(e2, e3) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | ALPHA: (5892) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (5893) all_56_2 = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (5894) op(e2, e3) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (110), (112),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (113), (117), (118), (125), (128), (133), (135),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (136), (139), (141), (143), (144), (145), (146),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (148), (149), (157), (159), (160), (162), (167),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (168), (169), (170), (191), (192), (193), (195),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (196), (197), (198), (201), (206), (208), (209),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (211), (213), (216), (219), (221), (225), (226),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (227), (229), (231), (235), (239), (248), (249),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (250), (258), (259), (260), (261), (270), (375),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (4908), (4909), (4910), (4911), (4912), (4913),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (4914), (4917), (4918), (5825), (5826), (5827),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (5828), (5830), (5846), (5848), (5854), (5855),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (5890), (5893), (5894), (function-axioms) are
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #681.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (5895) all_56_3 = e1 & op(e2, e2) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | ALPHA: (5895) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (5896) op(e2, e2) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5830), (5896), (function-axioms) are
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | (5897) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 158.31/23.16 | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | BETA: splitting (5897) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (5898) all_56_5 = e1 & op(e2, e1) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | ALPHA: (5898) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (5899) all_56_5 = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | (5900) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5900) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | (5901) all_56_1 = e1 & op(e3, e2) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5901) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | (5902) op(e3, e2) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | (5903) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5903) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | (5904) all_56_4 = e2 & op(e3, e1) = e2
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5904) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | (5905) op(e3, e1) = e2
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4913), (5905), (function-axioms) are
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | (5906) all_56_5 = e2 & op(e2, e1) = e2
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5906) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | (5907) all_56_5 = e2
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5899), (5907) are inconsistent by sub-proof
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | #1208.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | (5908) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5908) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | (5909) all_56_8 = e2 & op(e1, e1) = e2
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5909) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | (5910) op(e1, e1) = e2
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (5910), (function-axioms) are
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | (5911) all_56_14 = e2 & op(e0, e1) = e2
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5911) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | (5912) all_56_14 = e2
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | (5913) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5913) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5914) all_56_12 = e3 & op(e0, e3) = e3
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5914) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5915) all_56_12 = e3
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (5916) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5916) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5917) all_56_0 = e1 & op(e3, e3) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5917) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5918) op(e3, e3) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4918), (5918), (function-axioms) are
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5919) all_56_2 = e1 & op(e2, e3) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5919) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5920) all_56_2 = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5921) op(e2, e3) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (36), (110), (112), (113),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (117), (118), (125), (128), (133), (135), (136),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (141), (143), (144), (145), (146), (148),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (159), (160), (162), (167), (168),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (191), (192), (193), (195), (196),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (198), (201), (209), (211), (213), (216),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (225), (226), (227), (229), (231),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (239), (248), (249), (250), (258), (259),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (260), (261), (270), (375), (4908), (4909),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4910), (4911), (4912), (4913), (4914), (4917),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918), (5825), (5826), (5827), (5828), (5830),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5848), (5854), (5855), (5890), (5902), (5920),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5921), (function-axioms) are inconsistent by
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #683.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (5922) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5922) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5923) all_56_6 = e1 & op(e1, e3) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5923) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5924) op(e1, e3) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5845), (5924), (function-axioms) are
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5925) all_56_12 = e1 & op(e0, e3) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5925) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926) all_56_12 = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5915), (5926) are inconsistent by sub-proof
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1300.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5927) all_56_13 = e3 & op(e0, e2) = e3
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5927) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5928) all_56_13 = e3
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | (5830), (5928), (function-axioms) are inconsistent
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #846.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | (5929) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (5890), (5912), (5929),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | | #823.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | (5930) all_56_3 = e1 & op(e2, e2) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5930) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | (5931) op(e2, e2) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5830), (5931), (function-axioms) are
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | (5932) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (162), (206),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | (208), (209), (225), (226), (227), (4911), (5830),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | (5846), (5890), (5932), (function-axioms) are
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #682.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (5933) all_56_10 = e1 & op(e2, e0) = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | ALPHA: (5933) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (5934) all_56_10 = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (168), (206), (211),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (212), (4914), (5890), (5934), (function-axioms)
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #680.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | (5935) all_30_2 = e2
% 158.31/23.16 | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (5935) imply:
% 158.31/23.16 | | | | | | | | | | | | | | | | (5936) all_10_2 = e2
% 158.31/23.16 | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | SIMP: (5936) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | (5937) all_10_2 = e2
% 158.31/23.16 | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (5937) imply:
% 158.31/23.16 | | | | | | | | | | | | | | | | (5938) all_42_2 = e2
% 158.31/23.16 | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | REDUCE: (368), (5937) imply:
% 158.31/23.16 | | | | | | | | | | | | | | | | (5939) ~ (all_52_11 = e2)
% 158.31/23.16 | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | REDUCE: (370), (5937) imply:
% 158.31/23.16 | | | | | | | | | | | | | | | | (5940) ~ (all_52_13 = e2)
% 158.31/23.16 | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | REDUCE: (371), (5937) imply:
% 158.31/23.16 | | | | | | | | | | | | | | | | (5941) ~ (all_52_14 = e2)
% 158.31/23.16 | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | REDUCE: (376), (5937) imply:
% 158.31/23.16 | | | | | | | | | | | | | | | | (5942) ~ (e3 = e2)
% 158.31/23.16 | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | REDUCE: (45), (5937) imply:
% 158.31/23.16 | | | | | | | | | | | | | | | | (5943) op(e0, e0) = e2
% 158.31/23.16 | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | (5944) ~ (all_42_2 = e2)
% 158.31/23.16 | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | REDUCE: (5938), (5944) imply:
% 158.31/23.16 | | | | | | | | | | | | | | | | | (5945) $false
% 158.31/23.16 | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | CLOSE: (5945) is inconsistent.
% 158.31/23.16 | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | (5946) ( ~ (all_42_0 = e1) & op(e2, e0) = all_42_0 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | $i(all_42_0)) | ( ~ (all_42_1 = e3) & op(e2, e2)
% 158.31/23.16 | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 158.31/23.16 | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | BETA: splitting (5946) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | (5947) ~ (all_42_0 = e1) & op(e2, e0) = all_42_0 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | $i(all_42_0)
% 158.31/23.16 | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | ALPHA: (5947) implies:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | (5948) ~ (all_42_0 = e1)
% 158.31/23.16 | | | | | | | | | | | | | | | | | | (5949) op(e2, e0) = all_42_0
% 158.31/23.16 | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (5950) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (5950) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | (5951) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5951) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | (5952) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (4909), (5943), (5952),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | #679.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | (5953) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (5845), (5943), (5953),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | #955.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | (5954) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5954) gives:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | (5955) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (170), (375), (5825), (5955),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | #954.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | (5956) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (5830), (5846), (5956),
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | | #678.
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.16 | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.16 | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (5957) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (5957) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (5958) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5958) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (5959) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4918), (5943), (5959), (function-axioms) are
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #677.
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (5960) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5960) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (5961) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5961) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (5962) op(e0, e0) = e1
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5943), (5962), (function-axioms) are
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1431.
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (5963) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (5830), (5855), (5963),
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | #766.
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (5964) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5964) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (5965) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (5848), (5940), (5965),
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | #1337.
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (5966) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5966) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (5967) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5967) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (5968) op(e2, e0) = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5940), (5968), (function-axioms) are
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (5969) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5969) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | (5970) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5970) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | (5971) op(e2, e2) = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5830), (5971), (function-axioms) are
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | (5972) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5972) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | (5973) op(e0, e0) = all_57_31
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | (5974) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | (5975) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5975) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5976) all_56_6 = e2 & op(e1, e3) = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5976) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5977) op(e1, e3) = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4910), (5977), (function-axioms) are
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5978) all_56_7 = e2 & op(e1, e2) = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5978) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5979) all_56_7 = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5980) op(e1, e2) = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5981) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5981) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5982) all_56_4 = e2 & op(e3, e1) = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5982) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5983) op(e3, e1) = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4913), (5983), (function-axioms) are
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5984) all_56_5 = e2 & op(e2, e1) = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5984) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5985) all_56_5 = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5986) op(e2, e1) = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (5943), (5973)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5987) all_57_31 = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (5980) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5988) all_52_6 = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, e0, e2, simplifying with (164), (5949)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5989) all_52_13 = all_42_0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (5986) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5990) all_52_9 = e2
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (5989) imply:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5991) all_54_7 = all_42_0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5988) imply:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5992) ~ (all_52_14 = e2)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (5989) imply:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5993) ~ (all_52_14 = all_42_0)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5993) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5994) ~ (all_52_14 = all_42_0)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5829), (5989) imply:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5995) ~ (all_42_0 = e3)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5940), (5989) imply:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5996) ~ (all_42_0 = e2)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5997) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5997) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5998) all_56_2 = e1 & op(e2, e3) = e1
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5998) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5999) all_56_2 = e1
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6000) op(e2, e3) = e1
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6001) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6001) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6002) all_56_2 = e0 & op(e2, e3) = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6002) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6003) all_56_2 = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (141), (144),
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (163), (167), (169), (170), (193), (196),
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (209), (217), (220), (225), (226), (227),
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (236), (239), (250), (259), (375),
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4909), (4910), (4913), (4917), (4918), (5825),
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5830), (5845), (5848), (5854), (5855), (5941),
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5943), (5948), (5973), (5974), (5985), (5987),
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5991), (5994), (5995), (5996), (6003),
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #671.
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6004) all_56_3 = e0 & op(e2, e2) = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6004) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6005) op(e2, e2) = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5830), (6005), (function-axioms) are
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6006) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6006) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6007) all_56_5 = e0 & op(e2, e1) = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5985), (6007) are inconsistent by sub-proof
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #787.
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6008) all_56_10 = e0 & op(e2, e0) = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6008) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6009) all_56_10 = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6010) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6010) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6011) all_56_9 = e1 & op(e3, e0) = e1
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6011) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6012) all_56_9 = e1
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5974) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6013) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6013) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6014) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6014) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6015) ~ (all_57_31 = e3)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6016) op(e0, e3) = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (170), (212),
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (217), (220), (235), (236), (376), (4917),
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5825), (5854), (5855), (5973), (5979), (5985),
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6000), (6009), (6012), (6015), (6016),
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #669.
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6017) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6017) gives:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6018) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6018) implies:
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6019) ~ (all_57_31 = e3)
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6020) op(e0, e3) = e0
% 158.31/23.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (170), (212),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (217), (220), (235), (236), (376), (4917),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5825), (5854), (5855), (5973), (5979), (5985),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6000), (6009), (6012), (6019), (6020),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #669.
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6021) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6021) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6022) ~ (all_57_31 = e2)
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5943), (5973), (6022), (function-axioms) are
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1239.
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6023) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (36), (375), (4918), (5830), (6023),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #833.
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6024) all_56_10 = e1 & op(e2, e0) = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6024) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6025) all_56_10 = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (141), (144),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (163), (167), (169), (170), (193), (196),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (209), (217), (220), (221), (225), (226),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (231), (232), (236), (239), (250), (259),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375), (4909), (4910), (4913), (4917), (4918),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5825), (5830), (5845), (5848), (5854), (5855),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5941), (5943), (5948), (5973), (5974), (5985),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5987), (5991), (5994), (5995), (5996), (6025),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #668.
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6026) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6026) gives:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6027) all_56_11 = e1 & op(e1, e0) = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6027) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6028) op(e1, e0) = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5848), (6028), (function-axioms) are
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1338.
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6029) all_56_15 = e1 & op(e0, e0) = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6029) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6030) op(e0, e0) = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (110), (112),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (113), (117), (118), (125), (128), (133), (135),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (136), (139), (141), (143), (144), (145), (146),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (157), (159), (160), (162), (167),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (191), (192), (193), (195),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (201), (206), (208), (209),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (213), (216), (219), (221), (225), (226),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (229), (231), (235), (239), (248), (249),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (258), (259), (260), (261), (270), (375),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4908), (4909), (4910), (4911), (4912), (4913),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4914), (4917), (4918), (5825), (5826), (5827),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5828), (5830), (5846), (5848), (5854), (5855),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5999), (6000), (6030), (function-axioms) are
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #681.
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6031) all_56_3 = e1 & op(e2, e2) = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6031) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6032) op(e2, e2) = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5830), (6032), (function-axioms) are
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6033) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6033) gives:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6034) all_56_5 = e1 & op(e2, e1) = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5985), (6034) are inconsistent by sub-proof
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #988.
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6035) all_56_10 = e1 & op(e2, e0) = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6035) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6036) all_56_10 = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (141), (144),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (163), (167), (169), (170), (193), (196),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (209), (217), (220), (221), (225), (226),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (231), (232), (236), (239), (250), (259),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (375), (4909), (4910), (4913), (4917), (4918),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5825), (5830), (5845), (5848), (5854), (5855),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5941), (5943), (5948), (5973), (5974), (5985),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5987), (5991), (5994), (5995), (5996), (6036),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #668.
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (6037) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (157), (375), (5939), (6037),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | | #1069.
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | (6038) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (160), (375), (5941), (6038),
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | | #1156.
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | (6039) ~ (all_42_1 = e3) & op(e2, e2) = all_42_1 &
% 158.31/23.18 | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 158.31/23.18 | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | ALPHA: (6039) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | (6040) ~ (all_42_1 = e3)
% 158.31/23.18 | | | | | | | | | | | | | | | | | | (6041) op(e2, e2) = all_42_1
% 158.31/23.18 | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5830), (6040), (6041), (function-axioms) are
% 158.31/23.18 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #865.
% 158.31/23.18 | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | (6042) all_56_11 = e1 & op(e1, e0) = e1
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | ALPHA: (6042) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | (6043) op(e1, e0) = e1
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | REF_CLOSE: (160), (5848), (6043), (function-axioms) are
% 158.31/23.18 | | | | | | | | | | | | | | | inconsistent by sub-proof #1338.
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | (6044) all_54_10 = e0
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | COMBINE_EQS: (335), (6044) imply:
% 158.31/23.18 | | | | | | | | | | | | | (6045) all_4_2 = e0
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | REDUCE: (372), (6045) imply:
% 158.31/23.18 | | | | | | | | | | | | | (6046) $false
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | CLOSE: (6046) is inconsistent.
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | (6047) all_32_2 = e3
% 158.31/23.18 | | | | | | | | | | (6048) ( ~ (all_32_0 = e0) & op(e3, e1) = all_32_0 &
% 158.31/23.18 | | | | | | | | | | $i(all_32_0)) | ( ~ (all_32_1 = e2) & op(e3, e3)
% 158.31/23.18 | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 158.31/23.18 | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | COMBINE_EQS: (301), (6047) imply:
% 158.31/23.18 | | | | | | | | | | (6049) all_4_2 = e3
% 158.31/23.18 | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | SIMP: (6049) implies:
% 158.31/23.18 | | | | | | | | | | (6050) all_4_2 = e3
% 158.31/23.18 | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | REDUCE: (362), (6050) imply:
% 158.31/23.18 | | | | | | | | | | (6051) ~ (all_52_8 = e3)
% 158.31/23.18 | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | REDUCE: (365), (6050) imply:
% 158.31/23.18 | | | | | | | | | | (6052) ~ (all_52_11 = e3)
% 158.31/23.18 | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | REDUCE: (36), (6050) imply:
% 158.31/23.18 | | | | | | | | | | (6053) op(e1, e1) = e3
% 158.31/23.18 | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | BETA: splitting (6048) gives:
% 158.31/23.18 | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | (6054) ~ (all_32_0 = e0) & op(e3, e1) = all_32_0 &
% 158.31/23.18 | | | | | | | | | | | $i(all_32_0)
% 158.31/23.18 | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | ALPHA: (6054) implies:
% 158.31/23.18 | | | | | | | | | | | (6055) ~ (all_32_0 = e0)
% 158.31/23.18 | | | | | | | | | | | (6056) op(e3, e1) = all_32_0
% 158.31/23.18 | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | BETA: splitting (235) gives:
% 158.31/23.18 | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | (6057) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 158.31/23.18 | | | | | | | | | | | | & op(e2, e3) = e3)
% 158.31/23.18 | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | BETA: splitting (6057) gives:
% 158.31/23.18 | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | (6058) all_56_0 = e3 & op(e3, e3) = e3
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | REF_CLOSE: (9), (4917), (6058) are inconsistent by sub-proof
% 158.31/23.18 | | | | | | | | | | | | | #1039.
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | (6059) all_56_2 = e3 & op(e2, e3) = e3
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | ALPHA: (6059) implies:
% 158.31/23.18 | | | | | | | | | | | | | (6060) all_56_2 = e3
% 158.31/23.18 | | | | | | | | | | | | | (6061) op(e2, e3) = e3
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | BETA: splitting (209) gives:
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | (6062) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 158.31/23.18 | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | BETA: splitting (6062) gives:
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | (6063) all_56_12 = e3 & op(e0, e3) = e3
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | ALPHA: (6063) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | (6064) all_56_12 = e3
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (4918),
% 158.31/23.18 | | | | | | | | | | | | | | | (6060), (6061), (6064), (function-axioms) are
% 158.31/23.18 | | | | | | | | | | | | | | | inconsistent by sub-proof #666.
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | (6065) all_56_13 = e3 & op(e0, e2) = e3
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | ALPHA: (6065) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | (6066) all_56_13 = e3
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 158.31/23.18 | | | | | | | | | | | | | | | (5830), (6066), (function-axioms) are inconsistent
% 158.31/23.18 | | | | | | | | | | | | | | | by sub-proof #846.
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | (6067) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 158.31/23.18 | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (376), (6052), (6067),
% 158.31/23.18 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.18 | | | | | | | | | | | | | | #969.
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | (6068) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 158.31/23.18 | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 158.31/23.18 | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | BETA: splitting (6068) gives:
% 158.31/23.18 | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | (6069) all_56_6 = e3 & op(e1, e3) = e3
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | ALPHA: (6069) implies:
% 158.31/23.18 | | | | | | | | | | | | | (6070) all_56_6 = e3
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | BETA: splitting (209) gives:
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | (6071) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 158.31/23.18 | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | BETA: splitting (6071) gives:
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | (6072) all_56_12 = e3 & op(e0, e3) = e3
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | ALPHA: (6072) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | (6073) all_56_12 = e3
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (229), (231), (4918),
% 158.31/23.18 | | | | | | | | | | | | | | | (6070), (6073), (function-axioms) are inconsistent
% 158.31/23.18 | | | | | | | | | | | | | | | by sub-proof #688.
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | (6074) all_56_13 = e3 & op(e0, e2) = e3
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | ALPHA: (6074) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | (6075) all_56_13 = e3
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 158.31/23.18 | | | | | | | | | | | | | | | (5830), (6075), (function-axioms) are inconsistent
% 158.31/23.18 | | | | | | | | | | | | | | | by sub-proof #846.
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | (6076) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 158.31/23.18 | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | REF_CLOSE: (45), (157), (376), (6052), (6076),
% 158.31/23.18 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.18 | | | | | | | | | | | | | | #969.
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | End of split
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | (6077) all_56_12 = e3 & op(e0, e3) = e3
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | ALPHA: (6077) implies:
% 158.31/23.18 | | | | | | | | | | | | | (6078) op(e0, e3) = e3
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | BETA: splitting (236) gives:
% 158.31/23.18 | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | (6079) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 158.31/23.18 | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (4917), (5825), (6079),
% 158.31/23.18 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.18 | | | | | | | | | | | | | | #672.
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | (6080) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 158.31/23.18 | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | BETA: splitting (6080) gives:
% 158.31/23.18 | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | (6081) all_56_4 = e3 & op(e3, e1) = e3
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | ALPHA: (6081) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | (6082) op(e3, e1) = e3
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | REF_CLOSE: (169), (6051), (6082), (function-axioms) are
% 158.31/23.18 | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | (6083) all_56_9 = e3 & op(e3, e0) = e3
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | ALPHA: (6083) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | (6084) all_56_9 = e3
% 158.31/23.18 | | | | | | | | | | | | | | | (6085) op(e3, e0) = e3
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 158.31/23.18 | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (6078) gives:
% 158.31/23.18 | | | | | | | | | | | | | | | (6086) all_52_3 = e3
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 158.31/23.18 | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (6085) gives:
% 158.31/23.18 | | | | | | | | | | | | | | | (6087) all_52_12 = e3
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 158.31/23.18 | | | | | | | | | | | | | | | all_32_0, e1, e3, simplifying with (169), (6056)
% 158.31/23.18 | | | | | | | | | | | | | | | gives:
% 158.31/23.18 | | | | | | | | | | | | | | | (6088) all_52_8 = all_32_0
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | COMBINE_EQS: (271), (6088) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | (6089) all_54_2 = all_32_0
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | REDUCE: (140), (6086) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | (6090) ~ (all_52_7 = e3)
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | REDUCE: (139), (6086) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | (6091) ~ (all_52_11 = e3)
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | REDUCE: (134), (6088) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | (6092) ~ (all_52_4 = all_32_0)
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | REDUCE: (121), (6088) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | (6093) ~ (all_52_11 = all_32_0)
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | SIMP: (6093) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | (6094) ~ (all_52_11 = all_32_0)
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | REDUCE: (6051), (6088) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | (6095) ~ (all_32_0 = e3)
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | REDUCE: (4913), (6088) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | (6096) ~ (all_32_0 = e2)
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | REDUCE: (369), (6087) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | (6097) ~ (all_10_2 = e3)
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 158.31/23.18 | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | (6098) all_54_2 = e3
% 158.31/23.18 | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (6089), (6098) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | | (6099) all_32_0 = e3
% 158.31/23.18 | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | REDUCE: (6095), (6099) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | | (6100) $false
% 158.31/23.18 | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | CLOSE: (6100) is inconsistent.
% 158.31/23.18 | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | (6101) ~ (all_54_2 = e3)
% 158.31/23.18 | | | | | | | | | | | | | | | | (6102) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 158.31/23.18 | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 158.31/23.18 | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | (6103) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 158.31/23.18 | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 158.31/23.18 | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | BETA: splitting (6103) gives:
% 158.31/23.18 | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | (6104) all_56_0 = e0 & op(e3, e3) = e0
% 158.31/23.18 | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | ALPHA: (6104) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | (6105) op(e3, e3) = e0
% 158.31/23.18 | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4918), (6105), (function-axioms) are
% 158.31/23.18 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1228.
% 158.31/23.18 | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | (6106) all_56_1 = e0 & op(e3, e2) = e0
% 158.31/23.18 | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | ALPHA: (6106) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | (6107) all_56_1 = e0
% 158.31/23.18 | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | BETA: splitting (6102) gives:
% 158.31/23.18 | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | (6108) all_54_2 = e2
% 158.31/23.18 | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6089), (6108) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | (6109) all_32_0 = e2
% 158.31/23.18 | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | REDUCE: (6096), (6109) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | (6110) $false
% 158.31/23.18 | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | CLOSE: (6110) is inconsistent.
% 158.31/23.18 | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | (6111) all_54_2 = e1 | all_54_2 = e0
% 158.31/23.18 | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (6111) gives:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | (6112) all_54_2 = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6089), (6112) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | (6113) all_32_0 = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | SIMP: (6113) implies:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | (6114) all_32_0 = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (6092), (6114) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | (6115) ~ (all_52_4 = e1)
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (6094), (6114) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | (6116) ~ (all_52_11 = e1)
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (6095), (6114) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | (6117) ~ (e3 = e1)
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | (6118) all_54_1 = e3
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (6118) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | (6119) all_52_4 = e3
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5825), (6119) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | (6120) $false
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | CLOSE: (6120) is inconsistent.
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | (6121) ~ (all_54_1 = e3)
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | (6122) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6122) gives:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | (6123) all_54_1 = e2
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (6123) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | (6124) all_52_4 = e2
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4912), (6124) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | (6125) $false
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6125) is inconsistent.
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | (6126) ~ (all_54_1 = e2)
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | (6127) all_54_1 = e1 | all_54_1 = e0
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6127) gives:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | (6128) all_54_1 = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (6128) imply:
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | (6129) all_52_4 = e1
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6115), (6129) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | (6130) $false
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6130) is inconsistent.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | (6131) all_54_1 = e0
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (6131) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | (6132) all_52_4 = e0
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6132) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | (6133) ~ (all_52_7 = e0)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6133) implies:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | (6134) ~ (all_52_7 = e0)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5825), (6132) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | (6135) ~ (e3 = e0)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4912), (6132) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | (6136) ~ (e2 = e0)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6115), (6132) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | (6137) ~ (e1 = e0)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (6132) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | (6138) op(e3, e2) = e0
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | (6139) ~ (all_38_2 = e3)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5824), (6139) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | (6140) $false
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6140) is inconsistent.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | (6141) ( ~ (all_38_0 = e0) & op(e3, e2) = all_38_0 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_0)) | ( ~ (all_38_1 = e1) & op(e3, e3)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6141) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (6142) ~ (all_38_0 = e0) & op(e3, e2) = all_38_0 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_0)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6142) implies:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (6143) ~ (all_38_0 = e0)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (6144) op(e3, e2) = all_38_0
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_38_0,
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (6138), (6144) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (6145) all_38_0 = e0
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6143), (6145) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (6146) $false
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6146) is inconsistent.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (6147) ~ (all_38_1 = e1) & op(e3, e3) = all_38_1 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6147) implies:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (6148) ~ (all_38_1 = e1)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (6149) op(e3, e3) = all_38_1
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_38_1,
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (4918), (6149) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | (6150) all_38_1 = e2
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (6151) ~ (all_30_2 = e2)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (309), (6151) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (6152) ~ (all_10_2 = e2)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6153) ~ (all_40_2 = e1)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (307), (6153) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6154) ~ (all_10_2 = e1)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6155) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6155) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6156) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6156) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6157) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (167), (376), (4909), (6157),
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1289.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6158) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (376), (6053), (6158), (function-axioms) are
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6159) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6159) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6160) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (6053), (6152), (6160),
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1286.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6161) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6161) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6162) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6162) implies:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6163) op(e1, e2) = e1
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6164) all_54_15 = e3
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6164) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6165) all_10_2 = e3
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (6165) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6166) $false
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6166) is inconsistent.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6167) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6167) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6168) all_54_15 = e2
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6168) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6169) all_10_2 = e2
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6152), (6169) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6170) $false
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6170) is inconsistent.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6171) all_54_15 = e1 | all_54_15 = e0
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6171) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6172) all_54_15 = e1
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6172) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6173) all_10_2 = e1
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6154), (6173) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6174) $false
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6174) is inconsistent.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6175) all_54_15 = e0
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (6175) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6176) all_10_2 = e0
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (6176) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6177) ~ (all_52_11 = e0)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6178) all_54_14 = e3
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (6052), (6178) are inconsistent by
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1390.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6179) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6179) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6180) all_54_14 = e2
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6180) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6181) all_52_11 = e2
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6181) implies:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6182) all_52_11 = e2
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6182) imply:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6183) ~ (all_52_7 = e2)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (128), (162), (191), (248), (5827), (6134),
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6163), (6183), (function-axioms) are inconsistent
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #916.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6184) all_54_14 = e1 | all_54_14 = e0
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (6116), (6177), (6184) are inconsistent by
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1356.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6185) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (5830), (6152), (6185),
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #802.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6186) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6186) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6187) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6187) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6188) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6188) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6189) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6189) implies:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6190) op(e0, e0) = e1
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (6154), (6190), (function-axioms) are
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1180.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6191) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6191) implies:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6192) op(e3, e3) = e1
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6148), (6149), (6192), (function-axioms) are
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (169), (226),
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (230), (4918), (6048), (6053),
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6154), (6193), (function-axioms) are inconsistent
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #732.
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6194) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6194) gives:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6195) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6195) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6196) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6196) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6197) op(e3, e3) = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (232), (234),
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (4913), (6107), (6197), (function-axioms)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #664.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6198) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6199) op(e3, e3) = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (232), (234),
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (4913), (6107), (6199), (function-axioms)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #664.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6200) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6200) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6201) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6202) op(e1, e1) = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6053), (6202), (function-axioms) are
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6203) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6203) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6204) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6204) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6205) op(e2, e2) = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (226), (227),
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (4918), (6048), (6085), (6205),
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1002.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6206) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6206) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6207) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6207) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6208) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6208) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6209) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6209) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6210) op(e0, e3) = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6078), (6210), (function-axioms) are
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1131.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6211) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6211) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6212) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6212) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6213) op(e0, e3) = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6078), (6213), (function-axioms) are
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1131.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6214) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6214) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6215) op(e0, e2) = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6134), (6215), (function-axioms) are
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1190.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6216) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (5830), (6053), (6148), (6149), (6216),
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #663.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6217) all_40_2 = e1
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (6217) imply:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6218) all_10_2 = e1
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (6218) imply:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6219) all_46_2 = e1
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (6218) imply:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6220) ~ (all_52_7 = e1)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6221) ~ (all_46_2 = e1)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6219), (6221) imply:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6222) $false
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6222) is inconsistent.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6223) ( ~ (all_46_0 = e2) & op(e1, e0) = all_46_0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_0)) | ( ~ (all_46_1 = e3) & op(e1, e1)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6223) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6224) ~ (all_46_0 = e2) & op(e1, e0) = all_46_0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_0)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6224) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6225) ~ (all_46_0 = e2)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6226) op(e1, e0) = all_46_0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6227) all_54_13 = e3
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (5827), (6227) are inconsistent by
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #919.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6228) ~ (all_54_13 = e3)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6229) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6229) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6230) all_54_13 = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (6230) imply:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6231) all_52_7 = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6231) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6232) all_52_7 = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6232) imply:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6233) ~ (all_52_6 = e2)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5827), (6232) imply:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6234) ~ (e3 = e2)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6235) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (4910), (6233), (6235),
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #752.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6236) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6053), (6225), (6226), (6236),
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #873.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6237) all_54_13 = e1 | all_54_13 = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (6134), (6220), (6237) are inconsistent by
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #876.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6238) ~ (all_46_1 = e3) & op(e1, e1) = all_46_1 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6238) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6239) ~ (all_46_1 = e3)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6240) op(e1, e1) = all_46_1
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6053), (6239), (6240), (function-axioms) are
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1121.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (6241) all_30_2 = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (6241) imply:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (6242) all_10_2 = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6242) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (6243) all_10_2 = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (6243) imply:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (6244) ~ (all_52_7 = e2)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (6243) imply:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (6245) ~ (all_52_13 = e2)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (6243) imply:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (6246) ~ (all_52_14 = e2)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (376), (6243) imply:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (6247) ~ (e3 = e2)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (6243) imply:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (6248) op(e0, e0) = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6249) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6249) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6250) all_56_6 = e2 & op(e1, e3) = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6250) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6251) op(e1, e3) = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4910), (6251), (function-axioms) are
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6252) all_56_7 = e2 & op(e1, e2) = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6252) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253) all_56_7 = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6254) all_54_13 = e3
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (5827), (6254) are inconsistent by
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #919.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255) ~ (all_54_13 = e3)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6256) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6256) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6257) all_54_13 = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (6244), (6257) are inconsistent by
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #918.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6258) ~ (all_54_13 = e2)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6259) all_54_13 = e1 | all_54_13 = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6260) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6260) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6261) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4909), (5830), (6261), (function-axioms)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #773.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6262) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6262) implies:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6134), (6248), (6263), (function-axioms)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1189.
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6264) gives:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6265) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6265) implies:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6266) (all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6267) (all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6259) gives:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6268) all_54_13 = e1
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (6268) imply:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6269) all_52_7 = e1
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6269) implies:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6270) all_52_7 = e1
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6270) imply:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271) ~ (all_52_6 = e1)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6244), (6270) imply:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6272) ~ (e2 = e1)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6273) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6273) gives:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6274) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (167), (206),
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (4909), (6053), (6084), (6085),
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6246), (6274), (function-axioms) are inconsistent
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #662.
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6275) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6275) gives:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6276) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6276) gives:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6277) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6277) implies:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6278) op(e1, e1) = e2
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6053), (6278), (function-axioms) are
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6279) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6279) implies:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6280) ~ (all_57_26 = e2)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6281) op(e3, e3) = all_57_26
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4918), (6280), (6281), (function-axioms) are
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1169.
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6282) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (5830), (6271), (6282),
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #678.
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6283) gives:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6284) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6284) gives:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6285) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6266), (6267), (6285), (function-axioms) are
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #661.
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6286) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6286) gives:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6287) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6287) implies:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288) ~ (all_57_24 = e0)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6289) op(e0, e0) = e1
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6266), (6288), (6289), (function-axioms) are
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1344.
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6290) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6290) gives:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6291) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6291) implies:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6292) op(e2, e2) = e0
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (6107),
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253), (6292), (function-axioms) are inconsistent
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1011.
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6293) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6293) implies:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6294) op(e1, e1) = e0
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6053), (6294), (function-axioms) are
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6295) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6295) gives:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6296) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6296) gives:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6297) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6297) implies:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6298) op(e2, e0) = e2
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6245), (6298), (function-axioms) are
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6299) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6299) implies:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6300) op(e3, e3) = e0
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (169), (232), (234),
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (4913), (6107), (6300), (function-axioms)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #664.
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6301) gives:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6302) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6302) implies:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6303) op(e2, e0) = e2
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6245), (6303), (function-axioms) are
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6304) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6304) gives:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6305) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6305) implies:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6306) op(e2, e2) = e0
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (6107),
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253), (6306), (function-axioms) are inconsistent
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1011.
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6307) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6307) implies:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6308) op(e0, e0) = all_57_31
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6309) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6309) gives:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6310) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6310) gives:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6311) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6311) implies:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6312) op(e0, e3) = e0
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6078), (6312), (function-axioms) are
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1131.
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6313) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6313) gives:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6314) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6314) implies:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6315) op(e0, e3) = e0
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6078), (6315), (function-axioms) are
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1131.
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6316) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6316) implies:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6317) ~ (all_57_31 = e2)
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6248), (6308), (6317), (function-axioms) are
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1239.
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6318) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6318) gives:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6319) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6319) implies:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6320) op(e1, e1) = e2
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6053), (6320), (function-axioms) are
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6321) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5830), (6267), (6321), (function-axioms) are
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #674.
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.31/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6322) all_54_13 = e0
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (6134), (6322) are inconsistent by
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #877.
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6323) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6323) implies:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6324) op(e0, all_57_18) = e3
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6325) (all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6326) (all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6327) (all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6259) gives:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6328) all_54_13 = e1
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (6328) imply:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6329) all_52_7 = e1
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6329) implies:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6330) all_52_7 = e1
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (6330) imply:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6331) ~ (all_52_6 = e1)
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6244), (6330) imply:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6332) ~ (e2 = e1)
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6333) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6333) gives:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6334) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (167), (206),
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (4909), (6053), (6084), (6085),
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6246), (6334), (function-axioms) are inconsistent
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #662.
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6335) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6335) gives:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6336) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (5825), (6053), (6336),
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #925.
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6337) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (5830), (6331), (6337),
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #678.
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6338) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6338) gives:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6339) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6339) gives:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6340) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6340) gives:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6341) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6341) implies:
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6342) op(e0, e0) = e1
% 158.91/23.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6248), (6342), (function-axioms) are
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1431.
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6343) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6343) implies:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6344) op(e3, e3) = e1
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6148), (6149), (6344), (function-axioms) are
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6345) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6345) gives:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6346) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6346) implies:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6347) op(e0, e0) = e1
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6248), (6347), (function-axioms) are
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1431.
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6348) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6348) gives:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6349) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6349) implies:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6350) all_57_28 = e0
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6245), (6326), (6350), (function-axioms)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #724.
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6351) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6351) implies:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6352) all_57_30 = e0
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6353) ~ (all_57_29 = e1)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6325), (6352), (6353) are inconsistent by
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #697.
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6354) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6354) gives:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6355) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6245), (6327), (6355), (function-axioms)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #660.
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6356) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6356) gives:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6357) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6357) implies:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6358) op(e2, e0) = e2
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6245), (6358), (function-axioms) are
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6359) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6359) gives:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6360) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6360) implies:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6361) all_57_28 = e0
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6245), (6326), (6361), (function-axioms)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #724.
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6362) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6362) implies:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6363) op(e0, e0) = all_57_31
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6364) gives:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6365) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6248), (6324), (6363), (6365), (function-axioms)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #673.
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6366) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (5830), (6053), (6148), (6149), (6366),
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #663.
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6367) all_54_13 = e0
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (6134), (6367) are inconsistent by
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #877.
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6368) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (6053), (6246), (6368),
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | #920.
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | (6369) all_54_2 = e0
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6089), (6369) imply:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | (6370) all_32_0 = e0
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | SIMP: (6370) implies:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | (6371) all_32_0 = e0
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (6055), (6371) imply:
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | (6372) $false
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | | CLOSE: (6372) is inconsistent.
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | (6373) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 158.91/23.23 | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 158.91/23.23 | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (6055), (6056), (6085), (6373),
% 158.91/23.23 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.23 | | | | | | | | | | | | | | | | | #659.
% 158.91/23.23 | | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | (6374) ~ (all_32_1 = e2) & op(e3, e3) = all_32_1 &
% 158.91/23.23 | | | | | | | | | | | $i(all_32_1)
% 158.91/23.23 | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | ALPHA: (6374) implies:
% 158.91/23.23 | | | | | | | | | | | (6375) ~ (all_32_1 = e2)
% 158.91/23.23 | | | | | | | | | | | (6376) op(e3, e3) = all_32_1
% 158.91/23.23 | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | REF_CLOSE: (4918), (6375), (6376), (function-axioms) are
% 158.91/23.23 | | | | | | | | | | | inconsistent by sub-proof #1003.
% 158.91/23.23 | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | End of split
% 158.91/23.23 | | | | | | | | |
% 158.91/23.23 | | | | | | | | End of split
% 158.91/23.23 | | | | | | | |
% 158.91/23.23 | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | |
% 158.91/23.23 | | | | | | | | (6377) all_56_2 = e2 & op(e2, e3) = e2
% 158.91/23.23 | | | | | | | |
% 158.91/23.23 | | | | | | | | ALPHA: (6377) implies:
% 158.91/23.23 | | | | | | | | (6378) op(e2, e3) = e2
% 158.91/23.23 | | | | | | | |
% 158.91/23.23 | | | | | | | | REF_CLOSE: (167), (4909), (6378), (function-axioms) are
% 158.91/23.23 | | | | | | | | inconsistent by sub-proof #1330.
% 158.91/23.23 | | | | | | | |
% 158.91/23.23 | | | | | | | End of split
% 158.91/23.23 | | | | | | |
% 158.91/23.23 | | | | | | Case 2:
% 158.91/23.23 | | | | | | |
% 158.91/23.23 | | | | | | | (6379) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2 &
% 158.91/23.23 | | | | | | | op(e0, e3) = e2)
% 158.91/23.23 | | | | | | |
% 158.91/23.23 | | | | | | | REF_CLOSE: (159), (163), (4910), (4911), (6379), (function-axioms)
% 158.91/23.23 | | | | | | | are inconsistent by sub-proof #770.
% 158.91/23.23 | | | | | | |
% 158.91/23.23 | | | | | | End of split
% 158.91/23.23 | | | | | |
% 158.91/23.23 | | | | | End of split
% 158.91/23.23 | | | | |
% 158.91/23.23 | | | | Case 2:
% 158.91/23.23 | | | | |
% 158.91/23.23 | | | | | (6380) all_10_2 = e3
% 158.91/23.23 | | | | | (6381) ( ~ (all_10_0 = e2) & op(e3, e0) = all_10_0 & $i(all_10_0))
% 158.91/23.23 | | | | | | ( ~ (all_10_1 = e1) & op(e3, e3) = all_10_1 &
% 158.91/23.23 | | | | | $i(all_10_1))
% 158.91/23.23 | | | | |
% 158.91/23.23 | | | | | COMBINE_EQS: (319), (6380) imply:
% 158.91/23.23 | | | | | (6382) all_24_2 = e3
% 158.91/23.23 | | | | |
% 158.91/23.23 | | | | | REDUCE: (350), (6380) imply:
% 158.91/23.23 | | | | | (6383) ~ (all_52_3 = e3)
% 158.91/23.23 | | | | |
% 158.91/23.23 | | | | | REDUCE: (361), (6380) imply:
% 158.91/23.23 | | | | | (6384) ~ (all_52_7 = e3)
% 158.91/23.23 | | | | |
% 158.91/23.23 | | | | | REDUCE: (368), (6380) imply:
% 158.91/23.23 | | | | | (6385) ~ (all_52_11 = e3)
% 158.91/23.23 | | | | |
% 158.91/23.23 | | | | | REDUCE: (369), (6380) imply:
% 158.91/23.23 | | | | | (6386) ~ (all_52_12 = e3)
% 158.91/23.23 | | | | |
% 158.91/23.23 | | | | | REDUCE: (370), (6380) imply:
% 158.91/23.23 | | | | | (6387) ~ (all_52_13 = e3)
% 158.91/23.23 | | | | |
% 158.91/23.23 | | | | | REDUCE: (371), (6380) imply:
% 158.91/23.23 | | | | | (6388) ~ (all_52_14 = e3)
% 158.91/23.23 | | | | |
% 158.91/23.23 | | | | | REDUCE: (45), (6380) imply:
% 158.91/23.23 | | | | | (6389) op(e0, e0) = e3
% 158.91/23.23 | | | | |
% 158.91/23.23 | | | | | BETA: splitting (52) gives:
% 158.91/23.23 | | | | |
% 158.91/23.23 | | | | | Case 1:
% 158.91/23.23 | | | | | |
% 158.91/23.23 | | | | | | (6390) ~ (all_14_2 = e2)
% 158.91/23.23 | | | | | |
% 158.91/23.23 | | | | | | BETA: splitting (55) gives:
% 158.91/23.23 | | | | | |
% 158.91/23.23 | | | | | | Case 1:
% 158.91/23.23 | | | | | | |
% 158.91/23.23 | | | | | | | (6391) ~ (all_16_2 = e3)
% 158.91/23.23 | | | | | | |
% 158.91/23.23 | | | | | | | REDUCE: (328), (6391) imply:
% 158.91/23.23 | | | | | | | (6392) ~ (all_6_2 = e3)
% 158.91/23.23 | | | | | | |
% 158.91/23.23 | | | | | | | BETA: splitting (61) gives:
% 158.91/23.23 | | | | | | |
% 158.91/23.23 | | | | | | | Case 1:
% 158.91/23.23 | | | | | | | |
% 158.91/23.23 | | | | | | | | (6393) ~ (all_20_2 = e0)
% 158.91/23.23 | | | | | | | |
% 158.91/23.23 | | | | | | | | REDUCE: (283), (6393) imply:
% 158.91/23.23 | | | | | | | | (6394) ~ (all_6_2 = e0)
% 158.91/23.23 | | | | | | | |
% 158.91/23.23 | | | | | | | | BETA: splitting (199) gives:
% 158.91/23.23 | | | | | | | |
% 158.91/23.23 | | | | | | | | Case 1:
% 158.91/23.23 | | | | | | | | |
% 158.91/23.23 | | | | | | | | | (6395) all_54_5 = e3
% 158.91/23.23 | | | | | | | | |
% 158.91/23.23 | | | | | | | | | REF_CLOSE: (268), (6392), (6395) are inconsistent by sub-proof
% 158.91/23.23 | | | | | | | | | #658.
% 158.91/23.23 | | | | | | | | |
% 158.91/23.23 | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | |
% 158.91/23.23 | | | | | | | | | (6396) ~ (all_54_5 = e3)
% 158.91/23.23 | | | | | | | | | (6397) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 158.91/23.23 | | | | | | | | |
% 158.91/23.23 | | | | | | | | | BETA: splitting (6397) gives:
% 158.91/23.23 | | | | | | | | |
% 158.91/23.23 | | | | | | | | | Case 1:
% 158.91/23.23 | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | (6398) all_54_5 = e2
% 158.91/23.23 | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | COMBINE_EQS: (268), (6398) imply:
% 158.91/23.23 | | | | | | | | | | (6399) all_6_2 = e2
% 158.91/23.23 | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | SIMP: (6399) implies:
% 158.91/23.23 | | | | | | | | | | (6400) all_6_2 = e2
% 158.91/23.23 | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | REDUCE: (348), (6400) imply:
% 158.91/23.23 | | | | | | | | | | (6401) ~ (all_52_1 = e2)
% 158.91/23.23 | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | REDUCE: (351), (6400) imply:
% 158.91/23.23 | | | | | | | | | | (6402) ~ (all_52_4 = e2)
% 158.91/23.23 | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | REDUCE: (355), (6400) imply:
% 158.91/23.23 | | | | | | | | | | (6403) ~ (all_52_7 = e2)
% 158.91/23.23 | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | REDUCE: (357), (6400) imply:
% 158.91/23.23 | | | | | | | | | | (6404) ~ (all_52_9 = e2)
% 158.91/23.23 | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | REDUCE: (359), (6400) imply:
% 158.91/23.23 | | | | | | | | | | (6405) ~ (all_52_13 = e2)
% 158.91/23.23 | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | REDUCE: (6392), (6400) imply:
% 158.91/23.23 | | | | | | | | | | (6406) ~ (e3 = e2)
% 158.91/23.23 | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | REDUCE: (39), (6400) imply:
% 158.91/23.23 | | | | | | | | | | (6407) op(e2, e2) = e2
% 158.91/23.23 | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | BETA: splitting (73) gives:
% 158.91/23.23 | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | Case 1:
% 158.91/23.23 | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | (6408) ~ (all_28_2 = e1)
% 158.91/23.23 | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | REDUCE: (315), (6408) imply:
% 158.91/23.23 | | | | | | | | | | | (6409) ~ (all_14_2 = e1)
% 158.91/23.23 | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | BETA: splitting (79) gives:
% 158.91/23.23 | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | Case 1:
% 158.91/23.23 | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | (6410) ~ (all_32_2 = e3)
% 158.91/23.23 | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | REDUCE: (301), (6410) imply:
% 158.91/23.23 | | | | | | | | | | | | (6411) ~ (all_4_2 = e3)
% 158.91/23.23 | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | BETA: splitting (194) gives:
% 158.91/23.23 | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | Case 1:
% 158.91/23.23 | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | (6412) all_54_10 = e3
% 158.91/23.23 | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | REF_CLOSE: (335), (6411), (6412) are inconsistent by
% 158.91/23.23 | | | | | | | | | | | | | sub-proof #1479.
% 158.91/23.23 | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | (6413) ~ (all_54_10 = e3)
% 158.91/23.23 | | | | | | | | | | | | | (6414) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 158.91/23.23 | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | BETA: splitting (6414) gives:
% 158.91/23.23 | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | Case 1:
% 158.91/23.23 | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | (6415) all_54_10 = e2
% 158.91/23.23 | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (6415) are inconsistent by sub-proof
% 158.91/23.23 | | | | | | | | | | | | | | #1478.
% 158.91/23.23 | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | Case 2:
% 158.91/23.23 | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | (6416) ~ (all_54_10 = e2)
% 158.91/23.23 | | | | | | | | | | | | | | (6417) all_54_10 = e1 | all_54_10 = e0
% 158.91/23.23 | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | BETA: splitting (6417) gives:
% 158.91/23.23 | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | Case 1:
% 158.91/23.23 | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | (6418) all_54_10 = e1
% 158.91/23.23 | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | COMBINE_EQS: (335), (6418) imply:
% 158.91/23.23 | | | | | | | | | | | | | | | (6419) all_4_2 = e1
% 158.91/23.23 | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | SIMP: (6419) implies:
% 158.91/23.23 | | | | | | | | | | | | | | | (6420) all_4_2 = e1
% 158.91/23.23 | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | REDUCE: (349), (6420) imply:
% 158.91/23.23 | | | | | | | | | | | | | | | (6421) ~ (all_52_2 = e1)
% 158.91/23.23 | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | REDUCE: (367), (6420) imply:
% 158.91/23.23 | | | | | | | | | | | | | | | (6422) ~ (all_52_14 = e1)
% 158.91/23.23 | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | REDUCE: (6411), (6420) imply:
% 158.91/23.23 | | | | | | | | | | | | | | | (6423) ~ (e3 = e1)
% 158.91/23.23 | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | REDUCE: (375), (6420) imply:
% 158.91/23.23 | | | | | | | | | | | | | | | (6424) ~ (e2 = e1)
% 158.91/23.23 | | | | | | | | | | | | | | |
% 158.91/23.23 | | | | | | | | | | | | | | | REDUCE: (36), (6420) imply:
% 158.91/23.23 | | | | | | | | | | | | | | | (6425) op(e1, e1) = e1
% 158.91/23.23 | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.91/23.24 | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | (6426) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.91/23.24 | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.91/23.24 | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.91/23.24 | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.91/23.24 | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.91/23.24 | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.91/23.24 | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.91/23.24 | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.91/23.24 | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.91/23.24 | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.91/23.24 | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.91/23.24 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.91/23.24 | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.91/23.24 | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.91/23.24 | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.91/23.24 | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.91/23.24 | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | BETA: splitting (6426) gives:
% 158.91/23.24 | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | (6427) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.91/23.24 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.91/23.24 | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.91/23.24 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | BETA: splitting (6427) gives:
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (6428) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.91/23.24 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | BETA: splitting (6428) gives:
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | (6429) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | ALPHA: (6429) implies:
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | (6430) op(e1, e1) = e3
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6425), (6430), (function-axioms) are
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1477.
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | (6431) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | ALPHA: (6431) implies:
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | (6432) op(e2, e3) = e2
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (6401), (6432), (function-axioms) are
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1330.
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (6433) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6421), (6433), (function-axioms) are
% 158.91/23.24 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | End of split
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | (6434) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.91/23.24 | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.91/23.24 | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.91/23.24 | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | BETA: splitting (6434) gives:
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (6435) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (375), (6389), (6435),
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.24 | | | | | | | | | | | | | | | | | | #656.
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (6436) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.91/23.24 | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (51), (6389), (6390), (6407), (6436),
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.24 | | | | | | | | | | | | | | | | | | #654.
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | End of split
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | End of split
% 158.91/23.24 | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | Case 2:
% 158.91/23.24 | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | (6437) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.91/23.24 | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.91/23.24 | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.91/23.24 | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.91/23.24 | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.91/23.24 | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.91/23.24 | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.91/23.24 | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.91/23.24 | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.91/23.24 | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.91/23.24 | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.91/23.24 | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.91/23.24 | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.91/23.24 | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.91/23.24 | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.91/23.24 | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.91/23.24 | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.91/23.24 | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.91/23.24 | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.91/23.24 | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.91/23.24 | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.91/23.24 | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.91/23.24 | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.91/23.24 | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.91/23.24 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.91/23.24 | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | BETA: splitting (6437) gives:
% 158.91/23.24 | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | (6438) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.91/23.24 | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.91/23.24 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | BETA: splitting (6438) gives:
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (6439) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (6389), (6409), (6439),
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.24 | | | | | | | | | | | | | | | | | | #653.
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (6440) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.91/23.24 | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (6386), (6389), (6440),
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.24 | | | | | | | | | | | | | | | | | | #652.
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | End of split
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | (6441) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.91/23.24 | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.91/23.24 | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.91/23.24 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.91/23.24 | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (36), (51), (160), (164),
% 158.91/23.24 | | | | | | | | | | | | | | | | | (375), (6390), (6405), (6407), (6409), (6422),
% 158.91/23.24 | | | | | | | | | | | | | | | | | (6425), (6441), (function-axioms) are inconsistent
% 158.91/23.24 | | | | | | | | | | | | | | | | | by sub-proof #1333.
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | End of split
% 158.91/23.24 | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | End of split
% 158.91/23.24 | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | Case 2:
% 158.91/23.24 | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | (6442) all_54_10 = e0
% 158.91/23.24 | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (6442) are inconsistent by sub-proof
% 158.91/23.24 | | | | | | | | | | | | | | | #1332.
% 158.91/23.24 | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | End of split
% 158.91/23.24 | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | End of split
% 158.91/23.24 | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | End of split
% 158.91/23.24 | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | Case 2:
% 158.91/23.24 | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | (6443) all_32_2 = e3
% 158.91/23.24 | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | COMBINE_EQS: (301), (6443) imply:
% 158.91/23.24 | | | | | | | | | | | | (6444) all_4_2 = e3
% 158.91/23.24 | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | SIMP: (6444) implies:
% 158.91/23.24 | | | | | | | | | | | | (6445) all_4_2 = e3
% 158.91/23.24 | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | COMBINE_EQS: (295), (6445) imply:
% 158.91/23.24 | | | | | | | | | | | | (6446) all_50_2 = e3
% 158.91/23.24 | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | REDUCE: (360), (6445) imply:
% 158.91/23.24 | | | | | | | | | | | | (6447) ~ (all_52_6 = e3)
% 158.91/23.24 | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | REDUCE: (363), (6445) imply:
% 158.91/23.24 | | | | | | | | | | | | (6448) ~ (all_52_9 = e3)
% 158.91/23.24 | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | REDUCE: (36), (6445) imply:
% 158.91/23.24 | | | | | | | | | | | | (6449) op(e1, e1) = e3
% 158.91/23.24 | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | BETA: splitting (228) gives:
% 158.91/23.24 | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | (6450) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 158.91/23.24 | | | | | | | | | | | | | & op(e2, e2) = e3)
% 158.91/23.24 | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | BETA: splitting (6450) gives:
% 158.91/23.24 | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | (6451) all_56_1 = e3 & op(e3, e2) = e3
% 158.91/23.24 | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | ALPHA: (6451) implies:
% 158.91/23.24 | | | | | | | | | | | | | | (6452) op(e3, e2) = e3
% 158.91/23.24 | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 158.91/23.24 | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | (6453) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 158.91/23.24 | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 158.91/23.24 | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | BETA: splitting (6453) gives:
% 158.91/23.24 | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | (6454) all_56_2 = e3 & op(e2, e3) = e3
% 158.91/23.24 | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | ALPHA: (6454) implies:
% 158.91/23.24 | | | | | | | | | | | | | | | | (6455) all_56_2 = e3
% 158.91/23.24 | | | | | | | | | | | | | | | | (6456) op(e2, e3) = e3
% 158.91/23.24 | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 158.91/23.24 | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | (6457) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.91/23.24 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.91/23.24 | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.91/23.24 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 158.91/23.24 | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 158.91/23.24 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 158.91/23.24 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.91/23.24 | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | BETA: splitting (6457) gives:
% 158.91/23.24 | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (6458) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.91/23.24 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 158.91/23.24 | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 158.91/23.24 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | BETA: splitting (6458) gives:
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | (6459) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (6401), (6459), (function-axioms) are
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #651.
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | (6460) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6449), (6460), (function-axioms) are inconsistent
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | by sub-proof #650.
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (6461) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 158.91/23.24 | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 158.91/23.24 | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.91/23.24 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | BETA: splitting (6461) gives:
% 158.91/23.24 | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | (6462) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (167), (168),
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | (212), (221), (222), (223), (6386), (6388),
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | (6401), (6407), (6449), (6455), (6456), (6462),
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | #648.
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | (6463) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | BETA: splitting (6463) gives:
% 158.91/23.24 | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | | (6464) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.24 | | | | | | | | | | | | | | | | | | | | ALPHA: (6464) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | (6465) op(e3, e3) = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (6390), (6465), (function-axioms) are
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | (6466) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (167), (168),
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | (212), (221), (222), (223), (6386), (6388),
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | (6401), (6407), (6455), (6456), (6466),
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | #647.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | (6467) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.91/23.25 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 158.91/23.25 | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 158.91/23.25 | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 158.91/23.25 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 158.91/23.25 | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 158.91/23.25 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 158.91/23.25 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.91/23.25 | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | BETA: splitting (6467) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (6468) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 158.91/23.25 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 158.91/23.25 | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | BETA: splitting (6468) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | (6469) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 158.91/23.25 | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (6389), (6409), (6469),
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | #653.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | (6470) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 158.91/23.25 | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (6386), (6389), (6470),
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | #652.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (6471) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.91/23.25 | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 158.91/23.25 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.91/23.25 | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | BETA: splitting (6471) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | (6472) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 158.91/23.25 | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | BETA: splitting (6472) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | (6473) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | ALPHA: (6473) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | (6474) op(e2, e0) = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6405), (6474), (function-axioms) are
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | (6475) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | ALPHA: (6475) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | (6476) all_57_29 = e1
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | (6477) op(e1, e0) = e1
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | (6478) op(e1, e1) = all_57_30
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | (6479) op(e3, e3) = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | (6480) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6480) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6481) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6481) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6482) (all_57_17 = e1 & op(e1, e3) = e1) | ( ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (6449), (6477), (6482),
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | #1221.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6483) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6483) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6484) op(e2, e1) = all_57_23
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6485) op(e2, e2) = all_57_28
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6486) (all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (6477) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6487) all_52_14 = e1
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (6449), (6478)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6488) all_57_30 = e3
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | all_57_23, e1, e2, simplifying with (165), (6484)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6489) all_57_23 = all_52_9
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | all_57_28, e2, e2, simplifying with (6407), (6485)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6490) all_57_28 = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (6452) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6491) all_52_4 = e3
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2, e0,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (51), (6479) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6492) all_14_2 = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (339), (6492) imply:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6493) ~ (all_52_2 = e0)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (341), (6492) imply:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6494) ~ (all_52_3 = e0)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (6487) imply:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6495) ~ (all_52_6 = e1)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6388), (6487) imply:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6496) ~ (e3 = e1)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6390), (6492) imply:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6497) ~ (e2 = e0)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6409), (6492) imply:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | (6498) ~ (e1 = e0)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | (6499) ~ (all_50_2 = e3)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6446), (6499) imply:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | (6500) $false
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6500) is inconsistent.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | (6501) ( ~ (all_50_0 = e2) & op(e3, e1) = all_50_0 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_0)) | ( ~ (all_50_1 = e0) & op(e3, e3)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | (6502) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (6407), (6452), (6502),
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | #1187.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | (6503) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6503) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | (6504) all_56_7 = e1 & op(e1, e2) = e1
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6504) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | (6505) op(e1, e2) = e1
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (6495), (6505), (function-axioms) are
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1464.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | (6506) all_56_13 = e1 & op(e0, e2) = e1
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6506) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | (6507) op(e0, e2) = e1
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6501) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (6508) ~ (all_50_0 = e2) & op(e3, e1) = all_50_0 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_0)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6508) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (6509) ~ (all_50_0 = e2)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (6510) op(e3, e1) = all_50_0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6511) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6511) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6512) all_56_6 = e0 & op(e1, e3) = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6512) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6513) op(e1, e3) = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6493), (6513), (function-axioms) are
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1051.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6514) all_56_7 = e0 & op(e1, e2) = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6514) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6515) op(e1, e2) = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6516) all_56_15 = e0 & op(e0, e0) = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6516) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6517) op(e0, e0) = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6389), (6517), (function-axioms) are
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1216.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6518) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6518) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6519) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6519) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6520) all_56_12 = e0 & op(e0, e3) = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6520) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6521) op(e0, e3) = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6494), (6521), (function-axioms) are
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1237.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6522) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6522) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6523) all_56_13 = e0 & op(e0, e2) = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6523) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6524) op(e0, e2) = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6507), (6524), (function-axioms) are
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1118.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6525) all_56_14 = e0 & op(e0, e1) = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6525) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6526) op(e0, e1) = e0
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6527) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6527) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6528) all_56_4 = e2 & op(e3, e1) = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6528) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6529) op(e3, e1) = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6509), (6510), (6529), (function-axioms) are
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1163.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6530) all_56_5 = e2 & op(e2, e1) = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6530) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6531) op(e2, e1) = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6404), (6531), (function-axioms) are
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6532) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6532) gives:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6533) all_56_8 = e2 & op(e1, e1) = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6533) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6534) op(e1, e1) = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6486), (6515), (6534), (function-axioms) are
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #646.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6535) all_56_14 = e2 & op(e0, e1) = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6535) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6536) op(e0, e1) = e2
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6526), (6536), (function-axioms) are
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1315.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6537) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (6449), (6477), (6537),
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | #645.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (6538) ~ (all_50_1 = e0) & op(e3, e3) = all_50_1 &
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6538) implies:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (6539) ~ (all_50_1 = e0)
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (6540) op(e3, e3) = all_50_1
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6479), (6539), (6540), (function-axioms) are
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1114.
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.25 | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | (6541) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (168), (6386), (6449), (6476), (6479),
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | (6541), (function-axioms) are inconsistent by
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | | sub-proof #644.
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | End of split
% 158.91/23.26 | | | | | | | | | | | | | | | | | | |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.26 | | | | | | | | | | | | | | | | | | |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | (6542) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 158.91/23.26 | | | | | | | | | | | | | | | | | | |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (6542) gives:
% 158.91/23.26 | | | | | | | | | | | | | | | | | | |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | (6543) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (6543) implies:
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | (6544) op(e2, e0) = e2
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6405), (6544), (function-axioms) are
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | |
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 158.91/23.26 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | (6545) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6545) gives:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (6546) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6546) implies:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (6547) op(e2, e2) = e0
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6407), (6547), (function-axioms) are
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (6548) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6548) implies:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (6549) op(e0, e0) = all_57_31
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (6550) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (51), (6389), (6390), (6407), (6409),
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (6449), (6549), (6550), (function-axioms) are
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #642.
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.26 | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | End of split
% 159.37/23.26 | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | End of split
% 159.37/23.26 | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | Case 2:
% 159.37/23.26 | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | (6551) all_56_3 = e3 & op(e2, e2) = e3
% 159.37/23.26 | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | ALPHA: (6551) implies:
% 159.37/23.26 | | | | | | | | | | | | | | | | (6552) op(e2, e2) = e3
% 159.37/23.26 | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6407), (6552), (function-axioms) are
% 159.37/23.26 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 159.37/23.26 | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | End of split
% 159.37/23.26 | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | Case 2:
% 159.37/23.26 | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | (6553) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 159.37/23.26 | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 159.37/23.26 | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | BETA: splitting (6553) gives:
% 159.37/23.26 | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | Case 1:
% 159.37/23.26 | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | (6554) all_56_5 = e3 & op(e2, e1) = e3
% 159.37/23.26 | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | ALPHA: (6554) implies:
% 159.37/23.26 | | | | | | | | | | | | | | | | (6555) all_56_5 = e3
% 159.37/23.26 | | | | | | | | | | | | | | | | (6556) op(e2, e1) = e3
% 159.37/23.26 | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 159.37/23.26 | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.26 | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | (6557) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.37/23.26 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.37/23.26 | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.37/23.26 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 159.37/23.26 | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 159.37/23.26 | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 159.37/23.26 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 159.37/23.26 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.37/23.26 | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.37/23.26 | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | BETA: splitting (6557) gives:
% 159.37/23.26 | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.26 | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | (6558) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.37/23.26 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.37/23.26 | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.37/23.26 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 159.37/23.26 | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | BETA: splitting (6558) gives:
% 159.37/23.26 | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | (6559) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (6401), (6559), (function-axioms) are
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #651.
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | (6560) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6449), (6560), (function-axioms) are inconsistent
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | by sub-proof #650.
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.26 | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.26 | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | (6561) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 159.37/23.26 | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.37/23.26 | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.37/23.26 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.37/23.26 | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | BETA: splitting (6561) gives:
% 159.37/23.26 | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | (6562) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6389), (6449), (6562), (function-axioms) are
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #641.
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | (6563) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (51), (6389), (6390), (6407), (6563),
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | #654.
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.26 | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | End of split
% 159.37/23.26 | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.26 | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | (6564) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.37/23.26 | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.37/23.26 | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.37/23.26 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 159.37/23.26 | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 159.37/23.26 | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 159.37/23.26 | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 159.37/23.26 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 159.37/23.26 | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 159.37/23.26 | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 159.37/23.26 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.37/23.26 | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | BETA: splitting (6564) gives:
% 159.37/23.26 | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.26 | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | (6565) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.37/23.26 | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.37/23.26 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.37/23.26 | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | BETA: splitting (6565) gives:
% 159.37/23.26 | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | (6566) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (6389), (6409), (6566),
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | #653.
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | (6567) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (6567) gives:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | (6568) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | ALPHA: (6568) implies:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | (6569) op(e0, e0) = e1
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6389), (6569), (function-axioms) are
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1438.
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | (6570) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6570) gives:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (6571) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6571) implies:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (6572) op(e3, e0) = e3
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (170), (217),
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (218), (234), (6390), (6402), (6449), (6555),
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (6556), (6572), (function-axioms) are inconsistent
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1294.
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | (6573) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 159.37/23.26 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6573) implies:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (6574) op(e3, e0) = e3
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (170), (217),
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (218), (234), (6390), (6402), (6449), (6555),
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (6556), (6574), (function-axioms) are inconsistent
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1294.
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.27 | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | (6575) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.37/23.27 | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 159.37/23.27 | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.37/23.27 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.37/23.27 | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | BETA: splitting (6575) gives:
% 159.37/23.27 | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | (6576) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 159.37/23.27 | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (6576) gives:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (6577) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (6577) implies:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (6578) op(e2, e0) = e2
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6405), (6578), (function-axioms) are
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (6579) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (6579) implies:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (6580) all_57_29 = e1
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (6581) op(e1, e0) = e1
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (6582) op(e3, e3) = e0
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (6583) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6583) gives:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | (6584) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6584) implies:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | (6585) (all_57_17 = e1 & op(e1, e3) = e1) | ( ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (6449), (6581), (6585),
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | #1221.
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | (6586) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6586) implies:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | (6587) op(e2, e1) = all_57_23
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6448), (6556), (6587), (function-axioms)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #640.
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (6588) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (168), (6386), (6449), (6580), (6582),
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (6588), (function-axioms) are inconsistent by
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | sub-proof #644.
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | (6589) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.37/23.27 | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (6589) gives:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (6590) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (6590) implies:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (6591) op(e2, e0) = e2
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6405), (6591), (function-axioms) are
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (6592) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6592) gives:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (6593) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6593) implies:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (6594) op(e2, e2) = e0
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6407), (6594), (function-axioms) are
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (6595) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6595) implies:
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (6596) op(e0, e0) = all_57_31
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (6597) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (51), (6389), (6390), (6407), (6409),
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | (6449), (6596), (6597), (function-axioms) are
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #642.
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | Case 2:
% 159.37/23.27 | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | (6598) all_56_10 = e3 & op(e2, e0) = e3
% 159.37/23.27 | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | ALPHA: (6598) implies:
% 159.37/23.27 | | | | | | | | | | | | | | | | (6599) op(e2, e0) = e3
% 159.37/23.27 | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6387), (6599), (function-axioms) are
% 159.37/23.27 | | | | | | | | | | | | | | | | inconsistent by sub-proof #795.
% 159.37/23.27 | | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | Case 2:
% 159.37/23.27 | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | (6600) all_56_3 = e3 & op(e2, e2) = e3
% 159.37/23.27 | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | ALPHA: (6600) implies:
% 159.37/23.27 | | | | | | | | | | | | | | (6601) op(e2, e2) = e3
% 159.37/23.27 | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | REF_CLOSE: (9), (6407), (6601), (function-axioms) are
% 159.37/23.27 | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 159.37/23.27 | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | Case 2:
% 159.37/23.27 | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | (6602) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 159.37/23.27 | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 159.37/23.27 | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | REF_CLOSE: (158), (162), (6384), (6447), (6602),
% 159.37/23.27 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.27 | | | | | | | | | | | | | #638.
% 159.37/23.27 | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | Case 2:
% 159.37/23.27 | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | (6603) all_28_2 = e1
% 159.37/23.27 | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | COMBINE_EQS: (315), (6603) imply:
% 159.37/23.27 | | | | | | | | | | | (6604) all_14_2 = e1
% 159.37/23.27 | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | SIMP: (6604) implies:
% 159.37/23.27 | | | | | | | | | | | (6605) all_14_2 = e1
% 159.37/23.27 | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | REDUCE: (337), (6605) imply:
% 159.37/23.27 | | | | | | | | | | | (6606) ~ (all_52_1 = e1)
% 159.37/23.27 | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | REDUCE: (339), (6605) imply:
% 159.37/23.27 | | | | | | | | | | | (6607) ~ (all_52_2 = e1)
% 159.37/23.27 | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | REDUCE: (343), (6605) imply:
% 159.37/23.27 | | | | | | | | | | | (6608) ~ (all_52_4 = e1)
% 159.37/23.27 | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | REDUCE: (347), (6605) imply:
% 159.37/23.27 | | | | | | | | | | | (6609) ~ (all_52_12 = e1)
% 159.37/23.27 | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | REDUCE: (6390), (6605) imply:
% 159.37/23.27 | | | | | | | | | | | (6610) ~ (e2 = e1)
% 159.37/23.27 | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | REDUCE: (51), (6605) imply:
% 159.37/23.27 | | | | | | | | | | | (6611) op(e3, e3) = e1
% 159.37/23.27 | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | BETA: splitting (238) gives:
% 159.37/23.27 | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | Case 1:
% 159.37/23.27 | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | (6612) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.37/23.27 | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.37/23.27 | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.37/23.27 | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.37/23.27 | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.37/23.27 | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.37/23.27 | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.37/23.27 | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.37/23.27 | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.37/23.27 | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.37/23.27 | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.37/23.27 | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.37/23.27 | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.37/23.27 | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.37/23.27 | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.37/23.27 | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.37/23.27 | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.37/23.27 | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 159.37/23.27 | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 159.37/23.27 | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.37/23.27 | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.37/23.27 | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 159.37/23.27 | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 159.37/23.27 | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.37/23.27 | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 159.37/23.27 | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 159.37/23.27 | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 159.37/23.27 | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 159.37/23.27 | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.37/23.27 | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.37/23.27 | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.37/23.27 | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.37/23.27 | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.37/23.27 | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.37/23.27 | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.37/23.27 | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.37/23.27 | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.37/23.27 | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.37/23.27 | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.37/23.27 | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | BETA: splitting (6612) gives:
% 159.37/23.27 | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | Case 1:
% 159.37/23.27 | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | (6613) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.37/23.27 | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.37/23.27 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.37/23.27 | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.37/23.27 | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.37/23.27 | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.37/23.27 | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.37/23.27 | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.37/23.27 | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.37/23.27 | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.37/23.27 | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.37/23.27 | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.37/23.27 | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.37/23.27 | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.37/23.27 | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.37/23.27 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.37/23.27 | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.37/23.27 | | | | | | | | | | | | | $i(all_57_30))
% 159.37/23.27 | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | BETA: splitting (6613) gives:
% 159.37/23.27 | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | Case 1:
% 159.37/23.27 | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | (6614) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.37/23.27 | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.37/23.27 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.37/23.27 | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.37/23.27 | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.37/23.27 | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.37/23.27 | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.37/23.27 | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.37/23.27 | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 159.37/23.27 | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | REF_CLOSE: (167), (6401), (6614), (function-axioms) are
% 159.37/23.27 | | | | | | | | | | | | | | inconsistent by sub-proof #651.
% 159.37/23.27 | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | Case 2:
% 159.37/23.27 | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | (6615) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 159.37/23.27 | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 159.37/23.27 | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 159.37/23.27 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 159.37/23.27 | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 159.37/23.27 | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 159.37/23.27 | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 159.37/23.27 | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.37/23.27 | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 159.37/23.27 | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | | REF_CLOSE: (163), (6607), (6615), (function-axioms) are
% 159.37/23.27 | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 159.37/23.27 | | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | End of split
% 159.37/23.27 | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | Case 2:
% 159.37/23.27 | | | | | | | | | | | | |
% 159.37/23.27 | | | | | | | | | | | | | (6616) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.37/23.27 | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.37/23.27 | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.37/23.27 | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.37/23.27 | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.37/23.27 | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.37/23.27 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.37/23.27 | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.37/23.27 | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 159.37/23.27 | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.37/23.28 | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.37/23.28 | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 159.37/23.28 | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 159.37/23.28 | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.37/23.28 | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.37/23.28 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.37/23.28 | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.37/23.28 | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.37/23.28 | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.37/23.28 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.37/23.28 | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.37/23.28 | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.37/23.28 | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | BETA: splitting (6616) gives:
% 159.37/23.28 | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | Case 1:
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | (6617) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.37/23.28 | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.37/23.28 | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.37/23.28 | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.37/23.28 | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.37/23.28 | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.37/23.28 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.37/23.28 | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (375), (6389), (6617),
% 159.37/23.28 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.28 | | | | | | | | | | | | | | #656.
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | Case 2:
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | (6618) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.37/23.28 | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.37/23.28 | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.37/23.28 | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.37/23.28 | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.37/23.28 | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.37/23.28 | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.37/23.28 | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.37/23.28 | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | BETA: splitting (6618) gives:
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | Case 1:
% 159.37/23.28 | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | (6619) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.37/23.28 | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 159.37/23.28 | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 159.37/23.28 | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | ALPHA: (6619) implies:
% 159.37/23.28 | | | | | | | | | | | | | | | (6620) op(e3, e3) = e2
% 159.37/23.28 | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | REF_CLOSE: (6), (6611), (6620), (function-axioms) are
% 159.37/23.28 | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 159.37/23.28 | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | Case 2:
% 159.37/23.28 | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | (6621) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.37/23.28 | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.37/23.28 | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.37/23.28 | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.37/23.28 | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.37/23.28 | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.37/23.28 | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (6389), (6407), (6621),
% 159.37/23.28 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.28 | | | | | | | | | | | | | | | #655.
% 159.37/23.28 | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | End of split
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | End of split
% 159.37/23.28 | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | End of split
% 159.37/23.28 | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | Case 2:
% 159.37/23.28 | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | (6622) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.37/23.28 | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.37/23.28 | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.37/23.28 | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.37/23.28 | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.37/23.28 | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.37/23.28 | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.28 | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.37/23.28 | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.37/23.28 | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.37/23.28 | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.37/23.28 | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.37/23.28 | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.37/23.28 | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.37/23.28 | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.37/23.28 | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.37/23.28 | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.37/23.28 | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.37/23.28 | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.37/23.28 | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.37/23.28 | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.37/23.28 | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 159.37/23.28 | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 159.37/23.28 | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 159.37/23.28 | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 159.37/23.28 | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 159.37/23.28 | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.37/23.28 | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.37/23.28 | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 159.37/23.28 | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 159.37/23.28 | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 159.37/23.28 | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 159.37/23.28 | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 159.37/23.28 | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.37/23.28 | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 159.37/23.28 | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 159.37/23.28 | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 159.37/23.28 | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 159.37/23.28 | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 159.37/23.28 | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.37/23.28 | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 159.37/23.28 | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 159.37/23.28 | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 159.37/23.28 | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 159.37/23.28 | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.37/23.28 | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.37/23.28 | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.37/23.28 | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.37/23.28 | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.37/23.28 | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.37/23.28 | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.37/23.28 | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.37/23.28 | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.37/23.28 | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.37/23.28 | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.37/23.28 | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.37/23.28 | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.37/23.28 | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.37/23.28 | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.28 | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.37/23.28 | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.37/23.28 | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.37/23.28 | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.37/23.28 | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.37/23.28 | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | BETA: splitting (6622) gives:
% 159.37/23.28 | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | Case 1:
% 159.37/23.28 | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | (6623) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.37/23.28 | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.37/23.28 | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.37/23.28 | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.37/23.28 | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.37/23.28 | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.37/23.28 | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.28 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.37/23.28 | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.37/23.28 | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.37/23.28 | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.37/23.28 | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.37/23.28 | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.37/23.28 | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.37/23.28 | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.37/23.28 | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.37/23.28 | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.37/23.28 | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.37/23.28 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.37/23.28 | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.37/23.28 | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.37/23.28 | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | BETA: splitting (6623) gives:
% 159.37/23.28 | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | Case 1:
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | (6624) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.37/23.28 | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.37/23.28 | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.37/23.28 | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.37/23.28 | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.37/23.28 | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.37/23.28 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.37/23.28 | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (6389), (6404), (6624),
% 159.37/23.28 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.28 | | | | | | | | | | | | | | #637.
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | Case 2:
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | (6625) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.37/23.28 | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.37/23.28 | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.37/23.28 | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.37/23.28 | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 159.37/23.28 | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 159.37/23.28 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.37/23.28 | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 159.37/23.28 | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 159.37/23.28 | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 159.37/23.28 | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (6386), (6389), (6625),
% 159.37/23.28 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.28 | | | | | | | | | | | | | | #652.
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | End of split
% 159.37/23.28 | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | Case 2:
% 159.37/23.28 | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | (6626) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.37/23.28 | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.37/23.28 | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.37/23.28 | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.37/23.28 | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.37/23.28 | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.37/23.28 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.37/23.28 | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 159.37/23.28 | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 159.37/23.28 | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 159.37/23.28 | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 159.37/23.28 | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 159.37/23.28 | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.37/23.28 | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.37/23.28 | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.37/23.28 | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.37/23.28 | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.37/23.28 | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.37/23.28 | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.37/23.28 | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.37/23.28 | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.37/23.28 | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.37/23.28 | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.37/23.28 | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.37/23.28 | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.37/23.28 | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.37/23.28 | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.37/23.28 | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.37/23.28 | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.37/23.28 | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.37/23.28 | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.37/23.28 | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.37/23.28 | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.37/23.28 | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.37/23.28 | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.28 | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.37/23.28 | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.37/23.28 | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.37/23.28 | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.37/23.28 | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.37/23.28 | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | BETA: splitting (6626) gives:
% 159.37/23.28 | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | Case 1:
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | (6627) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.37/23.28 | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.37/23.28 | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.37/23.28 | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.37/23.28 | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.37/23.28 | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.37/23.28 | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (6405), (6611), (6627),
% 159.37/23.28 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.28 | | | | | | | | | | | | | | #1152.
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | Case 2:
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | (6628) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.37/23.28 | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.37/23.28 | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.37/23.28 | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 159.37/23.28 | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 159.37/23.28 | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.37/23.28 | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 159.37/23.28 | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.37/23.28 | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.37/23.28 | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.37/23.28 | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 159.37/23.28 | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.37/23.28 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.37/23.28 | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.37/23.28 | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.37/23.28 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.37/23.28 | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.37/23.28 | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.37/23.28 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.37/23.28 | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.37/23.28 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.37/23.28 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.37/23.28 | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.37/23.28 | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.37/23.28 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | BETA: splitting (6628) gives:
% 159.37/23.28 | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | Case 1:
% 159.37/23.28 | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | (6629) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.37/23.28 | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.37/23.28 | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.37/23.28 | | | | | | | | | | | | | | | $i(all_57_29)
% 159.37/23.28 | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | ALPHA: (6629) implies:
% 159.37/23.28 | | | | | | | | | | | | | | | (6630) op(e2, e0) = e2
% 159.37/23.28 | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | REF_CLOSE: (164), (6405), (6630), (function-axioms) are
% 159.37/23.28 | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 159.37/23.28 | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | Case 2:
% 159.37/23.28 | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | (6631) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.37/23.28 | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.37/23.28 | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.37/23.28 | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.37/23.28 | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.37/23.28 | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.37/23.28 | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.37/23.28 | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.37/23.28 | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.37/23.28 | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.37/23.28 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.37/23.28 | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.37/23.28 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.37/23.28 | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.37/23.28 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.37/23.28 | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.37/23.28 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.37/23.28 | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.37/23.28 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.37/23.28 | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | BETA: splitting (6631) gives:
% 159.37/23.28 | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | Case 1:
% 159.37/23.28 | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | (6632) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.37/23.28 | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 159.37/23.28 | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 159.37/23.28 | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | ALPHA: (6632) implies:
% 159.37/23.28 | | | | | | | | | | | | | | | | (6633) op(e2, e2) = e0
% 159.37/23.28 | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6407), (6633), (function-axioms) are
% 159.37/23.28 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 159.37/23.28 | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | Case 2:
% 159.37/23.28 | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | (6634) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.37/23.28 | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 159.37/23.28 | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.37/23.28 | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 159.37/23.28 | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.37/23.28 | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.37/23.28 | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 159.37/23.28 | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.37/23.28 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 159.37/23.28 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 159.37/23.28 | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 159.37/23.28 | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 159.37/23.28 | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 159.37/23.28 | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.37/23.28 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 159.37/23.28 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 159.37/23.28 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 159.37/23.28 | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 159.37/23.28 | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 159.37/23.28 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 159.37/23.28 | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 159.37/23.28 | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 159.37/23.28 | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | ALPHA: (6634) implies:
% 159.37/23.28 | | | | | | | | | | | | | | | | (6635) op(e0, e0) = all_57_31
% 159.37/23.28 | | | | | | | | | | | | | | | | (6636) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.37/23.28 | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.37/23.28 | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.37/23.28 | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.37/23.28 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.37/23.28 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.37/23.28 | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.37/23.28 | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.37/23.28 | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 159.37/23.28 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.37/23.28 | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.37/23.28 | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.37/23.28 | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.37/23.28 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.28 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.37/23.28 | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.37/23.28 | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.37/23.28 | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.37/23.28 | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | BETA: splitting (6381) gives:
% 159.37/23.28 | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.28 | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | (6637) ~ (all_10_0 = e2) & op(e3, e0) = all_10_0 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | $i(all_10_0)
% 159.37/23.28 | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | ALPHA: (6637) implies:
% 159.37/23.28 | | | | | | | | | | | | | | | | | (6638) ~ (all_10_0 = e2)
% 159.37/23.28 | | | | | | | | | | | | | | | | | (6639) op(e3, e0) = all_10_0
% 159.37/23.28 | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 159.37/23.28 | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (6389), (6635)
% 159.37/23.28 | | | | | | | | | | | | | | | | | gives:
% 159.37/23.28 | | | | | | | | | | | | | | | | | (6640) all_57_31 = e3
% 159.37/23.28 | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 159.37/23.28 | | | | | | | | | | | | | | | | | all_10_0, e0, e3, simplifying with (168), (6639)
% 159.37/23.28 | | | | | | | | | | | | | | | | | gives:
% 159.37/23.28 | | | | | | | | | | | | | | | | | (6641) all_52_12 = all_10_0
% 159.37/23.28 | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (6641) imply:
% 159.37/23.28 | | | | | | | | | | | | | | | | | (6642) all_54_3 = all_10_0
% 159.37/23.28 | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | REDUCE: (133), (6641) imply:
% 159.37/23.28 | | | | | | | | | | | | | | | | | (6643) ~ (all_52_4 = all_10_0)
% 159.37/23.28 | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | REDUCE: (120), (6641) imply:
% 159.37/23.28 | | | | | | | | | | | | | | | | | (6644) ~ (all_52_8 = all_10_0)
% 159.37/23.28 | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | REDUCE: (6386), (6641) imply:
% 159.37/23.28 | | | | | | | | | | | | | | | | | (6645) ~ (all_10_0 = e3)
% 159.37/23.28 | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | REDUCE: (6609), (6641) imply:
% 159.37/23.28 | | | | | | | | | | | | | | | | | (6646) ~ (all_10_0 = e1)
% 159.37/23.28 | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | BETA: splitting (6636) gives:
% 159.37/23.28 | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.28 | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | (6647) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.37/23.28 | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.37/23.28 | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 159.37/23.28 | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6389), (6611), (6635), (6647),
% 159.37/23.28 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.28 | | | | | | | | | | | | | | | | | | #636.
% 159.37/23.28 | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.28 | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | (6648) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.37/23.28 | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.37/23.28 | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.37/23.28 | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | BETA: splitting (6648) gives:
% 159.37/23.28 | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.28 | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | (6649) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 159.37/23.28 | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | ALPHA: (6649) implies:
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | (6650) op(e1, e1) = e2
% 159.37/23.28 | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (6650), (function-axioms) are
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 159.37/23.28 | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.28 | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | (6651) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 159.37/23.28 | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (6651) gives:
% 159.37/23.28 | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | (6652) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (6652) implies:
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | (6653) all_57_26 = e1
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | (6654) all_57_24 = e0
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | (6655) ~ (all_57_31 = e1)
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | (6656) ~ (all_57_22 = e3)
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | (6657) op(e0, e1) = e0
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | (6658) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6658) gives:
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.28 | | | | | | | | | | | | | | | | | | | | | | (6659) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6659) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | (6660) op(e3, e3) = all_57_26
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | (6661) op(e3, all_57_26) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6653), (6661) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | (6662) op(e3, e1) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (170), (234), (6402), (6611), (6638),
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | (6639), (6662), (function-axioms) are inconsistent
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #633.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | (6663) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6663) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | (6664) op(e2, e0) = all_57_27
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | (6665) op(e2, e1) = all_57_23
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | (6666) op(e2, e2) = all_57_28
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | (6667) op(e2, all_57_27) = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | (6668) all_54_3 = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6642), (6645), (6668) are inconsistent by
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #632.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | (6669) ~ (all_54_3 = e3)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | (6670) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6670) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | (6671) all_54_3 = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6638), (6642), (6671) are inconsistent by
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #631.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | (6672) ~ (all_54_3 = e2)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | (6673) all_54_3 = e1 | all_54_3 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6674) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6674) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6675) all_56_9 = e2 & op(e3, e0) = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6675) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6676) op(e3, e0) = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6638), (6639), (6676), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #635.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6677) all_56_10 = e2 & op(e2, e0) = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6677) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6678) op(e2, e0) = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6405), (6678), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | (6679) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6679) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6680) all_56_11 = e2 & op(e1, e0) = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6680) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6681) all_56_11 = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6682) op(e1, e0) = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6673) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6683) all_54_3 = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6642), (6646), (6683) are inconsistent by
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #630.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684) all_54_3 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6642), (6684) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6685) all_10_0 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6685) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686) all_10_0 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6643), (6686) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6687) ~ (all_52_4 = e0)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6644), (6686) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6688) ~ (all_52_8 = e0)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6645), (6686) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6689) ~ (e3 = e0)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6638), (6686) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6690) ~ (e2 = e0)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6646), (6686) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6691) ~ (e1 = e0)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6692) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6692) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6693) all_56_9 = e1 & op(e3, e0) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6693) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6694) all_56_9 = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6695) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6695) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6696) all_56_0 = e0 & op(e3, e3) = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6696) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6697) op(e3, e3) = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6611), (6697), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1387.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6698) all_56_1 = e0 & op(e3, e2) = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6698) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6699) all_56_1 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6700) all_54_1 = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (6700) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6701) all_52_4 = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6701) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6702) all_52_4 = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (6702) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6703) ~ (all_52_6 = e3)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6703) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6704) ~ (all_52_6 = e3)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6702) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6705) ~ (all_52_7 = e3)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6706) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6706) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6707) all_56_1 = e3 & op(e3, e2) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6699), (6707) are inconsistent by sub-proof
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1385.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6708) all_56_3 = e3 & op(e2, e2) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6708) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6709) op(e2, e2) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6407), (6666), (6709), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #767.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6710) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (6384), (6704), (6710),
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #638.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6711) ~ (all_54_1 = e3)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (272), (6711) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6712) ~ (all_52_4 = e3)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6713) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (6407), (6666), (6712), (6713),
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #629.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6714) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6714) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6715) all_56_7 = e3 & op(e1, e2) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6715) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6716) all_56_7 = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6717) op(e1, e2) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (6407), (6608), (6718),
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1140.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6719) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6719) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6720) all_56_7 = e1 & op(e1, e2) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6720) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6721) op(e1, e2) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6717), (6721), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #716.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722) all_56_13 = e1 & op(e0, e2) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6722) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6723) all_56_13 = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6724) all_56_15 = e0 & op(e0, e0) = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6724) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6725) op(e0, e0) = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6389), (6725), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1216.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6726) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6726) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6727) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6727) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6728) all_56_9 = e0 & op(e3, e0) = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6728) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6729) all_56_9 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6694), (6729) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6730) e1 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6730) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6731) e1 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6723), (6731) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6732) all_56_13 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (6407), (6699), (6716),
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6732), (function-axioms) are inconsistent by
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1364.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6733) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6733) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6734) all_56_10 = e0 & op(e2, e0) = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6734) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6735) all_56_10 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6736) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (6402), (6611), (6736),
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1147.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6737) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6737) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6738) all_56_4 = e2 & op(e3, e1) = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6738) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6739) op(e3, e1) = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (6407), (6606), (6740),
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1148.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6741) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6741) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6742) all_56_5 = e1 & op(e2, e1) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6742) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6743) op(e2, e1) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6744) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6744) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6745) all_56_4 = e3 & op(e3, e1) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6745) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6746) op(e3, e1) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6739), (6746), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1461.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6747) all_56_5 = e3 & op(e2, e1) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6747) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6748) op(e2, e1) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6743), (6748), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6749) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6749) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6750) all_56_8 = e3 & op(e1, e1) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6750) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6751) op(e1, e1) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6752) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6752) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6753) all_56_6 = e1 & op(e1, e3) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6753) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6754) op(e1, e3) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6607), (6754), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6755) all_56_7 = e1 & op(e1, e2) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6755) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6756) op(e1, e2) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6717), (6756), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #716.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6757) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6757) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6758) all_56_8 = e1 & op(e1, e1) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6758) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6759) op(e1, e1) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6751), (6759), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1477.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6760) all_56_11 = e1 & op(e1, e0) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6760) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6761) op(e1, e0) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6682), (6761), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1219.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6762) all_56_14 = e3 & op(e0, e1) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6762) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6763) op(e0, e1) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6657), (6763), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #827.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6764) all_56_10 = e1 & op(e2, e0) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6764) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6765) all_56_10 = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6735), (6765) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6766) e1 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6723), (6766) imply:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6767) all_56_13 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (6407), (6699), (6716),
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6767), (function-axioms) are inconsistent by
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1364.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6768) all_56_9 = e2 & op(e3, e0) = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6768) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6769) op(e3, e0) = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6638), (6639), (6769), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #635.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6770) all_56_11 = e0 & op(e1, e0) = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6770) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6771) all_56_11 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6681), (6771) are inconsistent by sub-proof
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1396.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6772) all_56_13 = e3 & op(e0, e2) = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6384), (6772), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #639.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6773) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6773) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6774) all_56_4 = e0 & op(e3, e1) = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6774) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6775) op(e3, e1) = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (6688), (6775), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6776) all_56_9 = e0 & op(e3, e0) = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6776) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6777) all_56_9 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6694), (6777) are inconsistent by sub-proof
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #880.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6778) all_56_10 = e1 & op(e2, e0) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6778) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6779) op(e2, e0) = e1
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (165), (193), (250), (6388), (6657),
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6664), (6665), (6667), (6779), (function-axioms)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #628.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6780) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6635), (6655), (6682), (6780),
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #627.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6781) all_56_15 = e2 & op(e0, e0) = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6781) implies:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (6782) op(e0, e0) = e2
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6389), (6782), (function-axioms) are
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1173.
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | (6783) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6783) gives:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.29 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | (6784) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6784) implies:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | (6785) (all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6653), (6656), (6785) are inconsistent by
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | sub-proof #675.
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | (6786) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6786) implies:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | (6787) op(e0, e1) = all_57_24
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | (6788) op(e0, all_57_31) = e0
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | (6789) op(e0, all_57_24) = e1
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6654), (6789) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | (6790) op(e0, e0) = e1
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6640), (6788) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | (6791) op(e0, e3) = e0
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (158), (208), (6403), (6657), (6790),
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | (6791), (function-axioms) are inconsistent by
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1135.
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | (6792) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | ALPHA: (6792) implies:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | (6793) op(e2, e2) = e1
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6407), (6793), (function-axioms) are
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1468.
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.30 | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | End of split
% 159.37/23.30 | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | End of split
% 159.37/23.30 | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.30 | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | (6794) ~ (all_10_1 = e1) & op(e3, e3) = all_10_1 &
% 159.37/23.30 | | | | | | | | | | | | | | | | | $i(all_10_1)
% 159.37/23.30 | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | ALPHA: (6794) implies:
% 159.37/23.30 | | | | | | | | | | | | | | | | | (6795) ~ (all_10_1 = e1)
% 159.37/23.30 | | | | | | | | | | | | | | | | | (6796) op(e3, e3) = all_10_1
% 159.37/23.30 | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_1,
% 159.37/23.30 | | | | | | | | | | | | | | | | | e3, e3, simplifying with (6611), (6796) gives:
% 159.37/23.30 | | | | | | | | | | | | | | | | | (6797) all_10_1 = e1
% 159.37/23.30 | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | REDUCE: (6795), (6797) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | (6798) $false
% 159.37/23.30 | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | CLOSE: (6798) is inconsistent.
% 159.37/23.30 | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | End of split
% 159.37/23.30 | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | End of split
% 159.37/23.30 | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | End of split
% 159.37/23.30 | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | End of split
% 159.37/23.30 | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | End of split
% 159.37/23.30 | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | End of split
% 159.37/23.30 | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | End of split
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | Case 2:
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | (6799) all_54_5 = e1 | all_54_5 = e0
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | REF_CLOSE: (268), (373), (6394), (6799) are inconsistent by
% 159.37/23.30 | | | | | | | | | | sub-proof #1084.
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | End of split
% 159.37/23.30 | | | | | | | | |
% 159.37/23.30 | | | | | | | | End of split
% 159.37/23.30 | | | | | | | |
% 159.37/23.30 | | | | | | | Case 2:
% 159.37/23.30 | | | | | | | |
% 159.37/23.30 | | | | | | | | (6800) all_20_2 = e0
% 159.37/23.30 | | | | | | | |
% 159.37/23.30 | | | | | | | | COMBINE_EQS: (283), (6800) imply:
% 159.37/23.30 | | | | | | | | (6801) all_6_2 = e0
% 159.37/23.30 | | | | | | | |
% 159.37/23.30 | | | | | | | | COMBINE_EQS: (331), (6801) imply:
% 159.37/23.30 | | | | | | | | (6802) all_26_2 = e0
% 159.37/23.30 | | | | | | | |
% 159.37/23.30 | | | | | | | | REDUCE: (351), (6801) imply:
% 159.37/23.30 | | | | | | | | (6803) ~ (all_52_4 = e0)
% 159.37/23.30 | | | | | | | |
% 159.37/23.30 | | | | | | | | REDUCE: (353), (6801) imply:
% 159.37/23.30 | | | | | | | | (6804) ~ (all_52_6 = e0)
% 159.37/23.30 | | | | | | | |
% 159.37/23.30 | | | | | | | | REDUCE: (355), (6801) imply:
% 159.37/23.30 | | | | | | | | (6805) ~ (all_52_7 = e0)
% 159.37/23.30 | | | | | | | |
% 159.37/23.30 | | | | | | | | REDUCE: (357), (6801) imply:
% 159.37/23.30 | | | | | | | | (6806) ~ (all_52_9 = e0)
% 159.37/23.30 | | | | | | | |
% 159.37/23.30 | | | | | | | | REDUCE: (6392), (6801) imply:
% 159.37/23.30 | | | | | | | | (6807) ~ (e3 = e0)
% 159.37/23.30 | | | | | | | |
% 159.37/23.30 | | | | | | | | REDUCE: (373), (6801) imply:
% 159.37/23.30 | | | | | | | | (6808) ~ (e1 = e0)
% 159.37/23.30 | | | | | | | |
% 159.37/23.30 | | | | | | | | REDUCE: (39), (6801) imply:
% 159.37/23.30 | | | | | | | | (6809) op(e2, e2) = e0
% 159.37/23.30 | | | | | | | |
% 159.37/23.30 | | | | | | | | BETA: splitting (70) gives:
% 159.37/23.30 | | | | | | | |
% 159.37/23.30 | | | | | | | | Case 1:
% 159.37/23.30 | | | | | | | | |
% 159.37/23.30 | | | | | | | | | (6810) ~ (all_26_2 = e0)
% 159.37/23.30 | | | | | | | | |
% 159.37/23.30 | | | | | | | | | REDUCE: (6802), (6810) imply:
% 159.37/23.30 | | | | | | | | | (6811) $false
% 159.37/23.30 | | | | | | | | |
% 159.37/23.30 | | | | | | | | | CLOSE: (6811) is inconsistent.
% 159.37/23.30 | | | | | | | | |
% 159.37/23.30 | | | | | | | | Case 2:
% 159.37/23.30 | | | | | | | | |
% 159.37/23.30 | | | | | | | | | (6812) ( ~ (all_26_0 = e1) & op(e0, e2) = all_26_0 &
% 159.37/23.30 | | | | | | | | | $i(all_26_0)) | ( ~ (all_26_1 = e3) & op(e0, e0) =
% 159.37/23.30 | | | | | | | | | all_26_1 & $i(all_26_1))
% 159.37/23.30 | | | | | | | | |
% 159.37/23.30 | | | | | | | | | BETA: splitting (6812) gives:
% 159.37/23.30 | | | | | | | | |
% 159.37/23.30 | | | | | | | | | Case 1:
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | (6813) ~ (all_26_0 = e1) & op(e0, e2) = all_26_0 &
% 159.37/23.30 | | | | | | | | | | $i(all_26_0)
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | ALPHA: (6813) implies:
% 159.37/23.30 | | | | | | | | | | (6814) ~ (all_26_0 = e1)
% 159.37/23.30 | | | | | | | | | | (6815) op(e0, e2) = all_26_0
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 159.37/23.30 | | | | | | | | | | all_26_0, e2, e0, simplifying with (158), (6815)
% 159.37/23.30 | | | | | | | | | | gives:
% 159.37/23.30 | | | | | | | | | | (6816) all_52_7 = all_26_0
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | COMBINE_EQS: (248), (6816) imply:
% 159.37/23.30 | | | | | | | | | | (6817) all_54_13 = all_26_0
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | REDUCE: (140), (6816) imply:
% 159.37/23.30 | | | | | | | | | | (6818) ~ (all_52_3 = all_26_0)
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | REDUCE: (135), (6816) imply:
% 159.37/23.30 | | | | | | | | | | (6819) ~ (all_52_4 = all_26_0)
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | REDUCE: (128), (6816) imply:
% 159.37/23.30 | | | | | | | | | | (6820) ~ (all_52_6 = all_26_0)
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | REDUCE: (125), (6816) imply:
% 159.37/23.30 | | | | | | | | | | (6821) ~ (all_52_11 = all_26_0)
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | SIMP: (6821) implies:
% 159.37/23.30 | | | | | | | | | | (6822) ~ (all_52_11 = all_26_0)
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | REDUCE: (6384), (6816) imply:
% 159.37/23.30 | | | | | | | | | | (6823) ~ (all_26_0 = e3)
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | REDUCE: (6805), (6816) imply:
% 159.37/23.30 | | | | | | | | | | (6824) ~ (all_26_0 = e0)
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | BETA: splitting (191) gives:
% 159.37/23.30 | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | Case 1:
% 159.37/23.30 | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | (6825) all_54_13 = e3
% 159.37/23.30 | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | REF_CLOSE: (6817), (6823), (6825) are inconsistent by
% 159.37/23.30 | | | | | | | | | | | sub-proof #626.
% 159.37/23.30 | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | Case 2:
% 159.37/23.30 | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | (6826) ~ (all_54_13 = e3)
% 159.37/23.30 | | | | | | | | | | | (6827) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 159.37/23.30 | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | BETA: splitting (6827) gives:
% 159.37/23.30 | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | Case 1:
% 159.37/23.30 | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | (6828) all_54_13 = e2
% 159.37/23.30 | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | COMBINE_EQS: (6817), (6828) imply:
% 159.37/23.30 | | | | | | | | | | | | (6829) all_26_0 = e2
% 159.37/23.30 | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | SIMP: (6829) implies:
% 159.37/23.30 | | | | | | | | | | | | (6830) all_26_0 = e2
% 159.37/23.30 | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | REDUCE: (6818), (6830) imply:
% 159.37/23.30 | | | | | | | | | | | | (6831) ~ (all_52_3 = e2)
% 159.37/23.30 | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | REDUCE: (6819), (6830) imply:
% 159.37/23.30 | | | | | | | | | | | | (6832) ~ (all_52_4 = e2)
% 159.37/23.30 | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | REDUCE: (6820), (6830) imply:
% 159.37/23.30 | | | | | | | | | | | | (6833) ~ (all_52_6 = e2)
% 159.37/23.30 | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | REDUCE: (6822), (6830) imply:
% 159.37/23.30 | | | | | | | | | | | | (6834) ~ (all_52_11 = e2)
% 159.37/23.30 | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | REDUCE: (6823), (6830) imply:
% 159.37/23.30 | | | | | | | | | | | | (6835) ~ (e3 = e2)
% 159.37/23.30 | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | BETA: splitting (208) gives:
% 159.37/23.30 | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | Case 1:
% 159.37/23.30 | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | (6836) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 159.37/23.30 | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 159.37/23.30 | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | BETA: splitting (6836) gives:
% 159.37/23.30 | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | Case 1:
% 159.37/23.30 | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | (6837) all_56_12 = e2 & op(e0, e3) = e2
% 159.37/23.30 | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | ALPHA: (6837) implies:
% 159.37/23.30 | | | | | | | | | | | | | | (6838) op(e0, e3) = e2
% 159.37/23.30 | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | REF_CLOSE: (159), (6831), (6838), (function-axioms) are
% 159.37/23.30 | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 159.37/23.30 | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | Case 2:
% 159.37/23.30 | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | (6839) all_56_13 = e2 & op(e0, e2) = e2
% 159.37/23.30 | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | ALPHA: (6839) implies:
% 159.37/23.30 | | | | | | | | | | | | | | (6840) all_56_13 = e2
% 159.37/23.30 | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 159.37/23.30 | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | Case 1:
% 159.37/23.30 | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | (6841) ~ (all_28_2 = e1)
% 159.37/23.30 | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | REDUCE: (315), (6841) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | (6842) ~ (all_14_2 = e1)
% 159.37/23.30 | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 159.37/23.30 | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | Case 1:
% 159.37/23.30 | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | (6843) ~ (all_32_2 = e3)
% 159.37/23.30 | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | REDUCE: (301), (6843) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | (6844) ~ (all_4_2 = e3)
% 159.37/23.30 | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 159.37/23.30 | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.30 | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | (6845) all_54_10 = e3
% 159.37/23.30 | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (6844), (6845) are inconsistent by
% 159.37/23.30 | | | | | | | | | | | | | | | | | sub-proof #1479.
% 159.37/23.30 | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.30 | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | (6846) ~ (all_54_10 = e3)
% 159.37/23.30 | | | | | | | | | | | | | | | | | (6847) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 159.37/23.30 | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | BETA: splitting (6847) gives:
% 159.37/23.30 | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.30 | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | (6848) all_54_10 = e2
% 159.37/23.30 | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (6848) are inconsistent by sub-proof
% 159.37/23.30 | | | | | | | | | | | | | | | | | | #1478.
% 159.37/23.30 | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.30 | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | (6849) ~ (all_54_10 = e2)
% 159.37/23.30 | | | | | | | | | | | | | | | | | | (6850) all_54_10 = e1 | all_54_10 = e0
% 159.37/23.30 | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | BETA: splitting (6850) gives:
% 159.37/23.30 | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | (6851) all_54_10 = e1
% 159.37/23.30 | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (6851) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | (6852) all_4_2 = e1
% 159.37/23.30 | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | SIMP: (6852) implies:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | (6853) all_4_2 = e1
% 159.37/23.30 | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | REDUCE: (349), (6853) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | (6854) ~ (all_52_2 = e1)
% 159.37/23.30 | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | REDUCE: (360), (6853) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | (6855) ~ (all_52_6 = e1)
% 159.37/23.30 | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | REDUCE: (363), (6853) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | (6856) ~ (all_52_9 = e1)
% 159.37/23.30 | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | REDUCE: (365), (6853) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | (6857) ~ (all_52_11 = e1)
% 159.37/23.30 | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | REDUCE: (367), (6853) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | (6858) ~ (all_52_14 = e1)
% 159.37/23.30 | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | REDUCE: (6844), (6853) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | (6859) ~ (e3 = e1)
% 159.37/23.30 | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | REDUCE: (375), (6853) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | (6860) ~ (e2 = e1)
% 159.37/23.30 | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (6853) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | (6861) op(e1, e1) = e1
% 159.37/23.30 | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | (6862) all_54_14 = e3
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6862) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | (6863) all_52_11 = e3
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (6385), (6863) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | (6864) $false
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | CLOSE: (6864) is inconsistent.
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | (6865) ~ (all_54_14 = e3)
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | (6866) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6866) gives:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | (6867) all_54_14 = e2
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6867) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | (6868) all_52_11 = e2
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6834), (6868) imply:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | (6869) $false
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | CLOSE: (6869) is inconsistent.
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | (6870) ~ (all_54_14 = e2)
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | (6871) all_54_14 = e1 | all_54_14 = e0
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | |
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.37/23.30 | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | (6872) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6872) gives:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | (6873) all_56_12 = e1 & op(e0, e3) = e1
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6873) implies:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | (6874) all_56_12 = e1
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | (6875) all_54_9 = e3
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (6875) imply:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | (6876) all_52_6 = e3
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6876) implies:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | (6877) all_52_6 = e3
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (6877) imply:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | (6878) ~ (all_52_4 = e3)
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (6877) imply:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | (6879) ~ (all_52_14 = e3)
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (6877) imply:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | (6880) op(e1, e2) = e3
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6871) gives:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6881) all_54_14 = e1
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (6857), (6881) are inconsistent by
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1090.
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6882) all_54_14 = e0
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (6882) imply:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6883) all_52_11 = e0
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6883) implies:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6884) all_52_11 = e0
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (6884) imply:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6885) ~ (all_52_3 = e0)
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6834), (6884) imply:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6886) ~ (e2 = e0)
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6887) all_54_12 = e3
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (6383), (6887) are inconsistent by
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #864.
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6888) ~ (all_54_12 = e3)
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6889) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6889) gives:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6890) all_54_12 = e2
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (6831), (6890) are inconsistent by
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1361.
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6891) ~ (all_54_12 = e2)
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6892) all_54_12 = e1 | all_54_12 = e0
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6893) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6893) gives:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6894) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6894) gives:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6895) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6895) gives:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6896) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6896) implies:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6897) op(e1, e1) = e3
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6861), (6897), (function-axioms) are
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1477.
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6898) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6898) implies:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6899) all_57_31 = e3
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6900) all_57_16 = e2
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6901) ~ (all_57_28 = e3)
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6902) ~ (all_57_18 = e0)
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6903) op(e2, e3) = e2
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6904) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6904) gives:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6905) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.55/23.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6905) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6906) (all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6899), (6902), (6906) are inconsistent by
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #976.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6907) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6907) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6908) op(e2, e2) = all_57_28
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6909) op(e2, all_57_16) = e3
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6900), (6909) imply:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6910) op(e2, e2) = e3
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6901), (6908), (6910), (function-axioms) are
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1048.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6911) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6911) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6912) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6912) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6913) op(e1, e2) = all_57_20
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6914) op(e1, e3) = all_57_17
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6915) op(e1, all_57_20) = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6892) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6916) all_54_12 = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (6916) imply:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6917) all_52_3 = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (6917) imply:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6918) ~ (all_52_1 = e1)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6919) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6919) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6920) all_56_1 = e1 & op(e3, e2) = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6920) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6921) all_56_1 = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6922) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6922) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6923) all_56_6 = e3 & op(e1, e3) = e3
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6923) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6924) all_56_6 = e3
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6925) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (6833), (6924), (6925),
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #625.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6926) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6926) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6927) all_56_8 = e2 & op(e1, e1) = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6927) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6928) op(e1, e1) = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (6928), (function-axioms) are
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6929) all_56_11 = e2 & op(e1, e0) = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6929) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6930) all_56_11 = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6931) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (162), (6804), (6924), (6931),
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #624.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6932) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6932) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6933) all_56_8 = e0 & op(e1, e1) = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6933) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6934) op(e1, e1) = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (226), (227), (228), (249), (6383),
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6809), (6831), (6861), (6885), (6889), (6920),
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6934), (function-axioms) are inconsistent by
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #708.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6935) all_56_11 = e0 & op(e1, e0) = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6935) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6936) all_56_11 = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6930), (6936) are inconsistent by sub-proof
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1396.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6937) all_56_7 = e3 & op(e1, e2) = e3
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6937) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6938) all_56_7 = e3
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6939) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (6809), (6918), (6939),
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #913.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6940) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6940) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6941) all_56_5 = e1 & op(e2, e1) = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6856), (6941), (function-axioms) are
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6942) all_56_10 = e1 & op(e2, e0) = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6942) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6943) all_56_10 = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6944) op(e2, e0) = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6945) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6945) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6946) all_56_9 = e1 & op(e3, e0) = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6946) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6947) all_56_9 = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6948) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6948) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6949) all_56_9 = e2 & op(e3, e0) = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6949) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6950) all_56_9 = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6947), (6950) imply:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6951) e2 = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6840), (6951) imply:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6952) all_56_13 = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (170), (227), (6809), (6832),
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6938), (6952), (function-axioms) are inconsistent
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #695.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6953) all_56_10 = e2 & op(e2, e0) = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6953) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6954) op(e2, e0) = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6944), (6954), (function-axioms) are
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #903.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6955) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6955) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6956) all_56_11 = e2 & op(e1, e0) = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6956) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6957) all_56_11 = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6958) all_56_15 = e0 & op(e0, e0) = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6958) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6959) op(e0, e0) = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6389), (6959), (function-axioms) are
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1216.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6960) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6960) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6961) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6961) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6962) all_56_9 = e0 & op(e3, e0) = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6962) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6963) all_56_9 = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6947), (6963) imply:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6964) e1 = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6964) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6965) e1 = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6921), (6965) imply:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6966) all_56_1 = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (6809), (6840), (6938),
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6966), (function-axioms) are inconsistent by
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1010.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6967) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6967) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6968) all_56_10 = e0 & op(e2, e0) = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6968) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6969) all_56_10 = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6943), (6969) imply:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6970) e1 = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6921), (6970) imply:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6971) all_56_1 = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (226), (6809), (6840), (6938),
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6971), (function-axioms) are inconsistent by
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1010.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6972) all_56_11 = e0 & op(e1, e0) = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6957), (6972) are inconsistent by sub-proof
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1434.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6973) all_56_15 = e2 & op(e0, e0) = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6973) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6974) op(e0, e0) = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6389), (6974), (function-axioms) are
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1173.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e2, e1, simplifying with (6880), (6913)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6975) all_57_20 = e3
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17, e3, e1, simplifying with (163), (6914)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6976) all_57_17 = all_52_2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (6903) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6977) all_52_1 = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6977) imply:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6978) ~ (all_52_2 = e2)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6978) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6979) ~ (all_52_2 = e2)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6915), (6975) imply:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6980) op(e1, e3) = e2
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6979), (6980), (function-axioms) are
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6981) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (6389), (6858), (6981),
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #623.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6982) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (6388), (6861), (6982),
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1354.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6983) all_56_3 = e1 & op(e2, e2) = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6983) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6984) op(e2, e2) = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6809), (6984), (function-axioms) are
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6985) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6985) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6986) all_56_7 = e1 & op(e1, e2) = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6986) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6987) op(e1, e2) = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6880), (6987), (function-axioms) are
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #716.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6988) all_56_13 = e1 & op(e0, e2) = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6988) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6989) all_56_13 = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (170), (227), (228),
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6809), (6832), (6878), (6989), (function-axioms)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #622.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6990) all_54_12 = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (6990) imply:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6991) all_52_3 = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6885), (6991) imply:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6992) $false
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6992) is inconsistent.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6993) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6993) implies:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6994) op(e0, all_57_31) = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6899), (6994) imply:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6995) op(e0, e3) = e0
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6885), (6995), (function-axioms) are
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1237.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6996) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (6854), (6996), (function-axioms) are
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6997) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6997) gives:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6998) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (375), (6389), (6998),
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #656.
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6999) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (51), (6389), (6390), (6809), (6999),
% 159.55/23.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #620.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7000) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7000) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7001) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7001) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7002) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7002) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7003) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7003) implies:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004) op(e0, e0) = e1
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6389), (7004), (function-axioms) are
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1438.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7005) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7005) implies:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7006) op(e3, e3) = e1
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (233), (235), (6809), (6874),
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7006), (function-axioms) are inconsistent by
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #619.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7007) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (6386), (6389), (7007),
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #652.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7008) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7008) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7009) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (6809), (6858), (7009), (function-axioms)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1059.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7010) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7011) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7011) implies:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7012) ~ (all_57_28 = e0)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7013) op(e2, e2) = all_57_28
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6809), (7012), (7013), (function-axioms) are
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1060.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7014) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7014) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7015) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7015) implies:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7016) op(e1, e0) = e1
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (6858), (7016), (function-axioms) are
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1338.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7017) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7017) implies:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7018) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7018) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7019) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7019) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7020) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7020) implies:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7021) op(e0, e3) = e0
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6885), (7021), (function-axioms) are
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1237.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7022) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (6390), (6861), (7022),
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1336.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7023) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7023) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7024) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7024) implies:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7025) op(e1, e1) = e2
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (9), (51), (158), (6390), (6805),
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6809), (6842), (7018), (7025), (function-axioms)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1056.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7026) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7026) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7027) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7027) implies:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7028) op(e3, e3) = e1
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (233), (235), (6809), (6874),
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7028), (function-axioms) are inconsistent by
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #619.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7029) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7029) implies:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7030) op(e2, e2) = e1
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6809), (7030), (function-axioms) are
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | (7031) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (6804), (6833), (6855), (7031) are
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #618.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | (7032) all_56_13 = e1 & op(e0, e2) = e1
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7032) implies:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | (7033) op(e0, e2) = e1
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6814), (6815), (7033), (function-axioms) are
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #911.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | (7034) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7034) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | (7035) all_56_14 = e1 & op(e0, e1) = e1
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7035) implies:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | (7036) all_56_14 = e1
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | (7037) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (6854), (6855), (7037),
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | #1083.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | (7038) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7038) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | (7039) all_56_8 = e1 & op(e1, e1) = e1
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7039) implies:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | (7040) all_56_8 = e1
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (7041) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7041) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7042) all_56_4 = e0 & op(e3, e1) = e0
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7042) implies:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7043) all_56_4 = e0
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7044) op(e3, e1) = e0
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7045) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7045) gives:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7046) all_56_4 = e2 & op(e3, e1) = e2
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7043), (7046) are inconsistent by sub-proof
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1001.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7047) all_56_5 = e2 & op(e2, e1) = e2
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7047) implies:
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7048) all_56_5 = e2
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (7036), (7040), (7044),
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7048), (function-axioms) are inconsistent by
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #923.
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7049) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (157), (375), (6834), (7049),
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1069.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7050) all_56_5 = e0 & op(e2, e1) = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7050) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7051) op(e2, e1) = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6806), (7051), (function-axioms) are
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1105.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7052) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6861), (7036), (7052), (function-axioms) are
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #786.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | (7053) all_56_11 = e1 & op(e1, e0) = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7053) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | (7054) op(e1, e0) = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (6858), (7054), (function-axioms) are
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1338.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | (7055) all_56_15 = e1 & op(e0, e0) = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7055) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | (7056) op(e0, e0) = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6389), (7056), (function-axioms) are
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1438.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | (7057) all_54_10 = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (7057) are inconsistent by sub-proof
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | #1332.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | (7058) all_32_2 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (7058) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | (7059) all_4_2 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | SIMP: (7059) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | (7060) all_4_2 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | REDUCE: (349), (7060) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | (7061) ~ (all_52_2 = e3)
% 159.55/23.33 | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | REDUCE: (360), (7060) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | (7062) ~ (all_52_6 = e3)
% 159.55/23.33 | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | REDUCE: (36), (7060) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | (7063) op(e1, e1) = e3
% 159.55/23.33 | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | (7064) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 159.55/23.33 | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | BETA: splitting (7064) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | (7065) all_56_2 = e3 & op(e2, e3) = e3
% 159.55/23.33 | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | ALPHA: (7065) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | (7066) all_56_2 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | | | | (7067) op(e2, e3) = e3
% 159.55/23.33 | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | (7068) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (51), (6390), (7066), (7068),
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | #617.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | (7069) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | BETA: splitting (7069) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | (7070) all_56_6 = e2 & op(e1, e3) = e2
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | ALPHA: (7070) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | (7071) op(e1, e3) = e2
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | (7072) all_54_9 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (7062), (7072) are inconsistent by
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | sub-proof #1254.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | (7073) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7073) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | (7074) all_54_9 = e2
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (6833), (7074) are inconsistent by
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1253.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | (7075) ~ (all_54_9 = e2)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | (7076) all_54_9 = e1 | all_54_9 = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7076) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | (7077) all_54_9 = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (7077) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | (7078) all_52_6 = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7078) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | (7079) all_52_6 = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (7079) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | (7080) ~ (all_52_2 = e1)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (7079) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | (7081) ~ (all_52_4 = e1)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (7079) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | (7082) ~ (all_52_14 = e1)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7082) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | (7083) ~ (all_52_14 = e1)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6833), (7079) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | (7084) ~ (e2 = e1)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | (7085) all_54_1 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (7085) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | (7086) all_52_4 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (7086) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | (7087) ~ (all_52_12 = e3)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (7086) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | (7088) ~ (all_14_2 = e3)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7088) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | (7089) ~ (all_14_2 = e3)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | (7090) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7090) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7091) all_56_0 = e1 & op(e3, e3) = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7091) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7092) op(e3, e3) = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (6842), (7092), (function-axioms) are
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1341.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7093) all_56_2 = e1 & op(e2, e3) = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7093) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7094) op(e2, e3) = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7067), (7094), (function-axioms) are
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1460.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | (7095) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7095) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7096) all_56_6 = e1 & op(e1, e3) = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7096) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7097) op(e1, e3) = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7071), (7097), (function-axioms) are
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1171.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7098) all_56_12 = e1 & op(e0, e3) = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7098) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | (7099) all_56_12 = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7100) all_54_0 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (7100) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7101) all_14_2 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7089), (7101) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7102) $false
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7102) is inconsistent.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7103) ~ (all_54_0 = e3)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7104) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7104) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7105) all_54_0 = e2
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (7105) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7106) all_14_2 = e2
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6390), (7106) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7107) $false
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7107) is inconsistent.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7108) ~ (all_54_0 = e2)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7109) all_54_0 = e1 | all_54_0 = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7109) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7110) all_54_0 = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (7110) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7111) all_14_2 = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6842), (7111) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7112) $false
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7112) is inconsistent.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7113) all_54_0 = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (7113) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7114) all_14_2 = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (339), (7114) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7115) ~ (all_52_2 = e0)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (341), (7114) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7116) ~ (all_52_3 = e0)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (7114) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7117) op(e3, e3) = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7118) all_54_8 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7061), (7118) are inconsistent by
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1388.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7119) ~ (all_54_8 = e3)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7120) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7120) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7121) all_54_8 = e2
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7121) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7122) all_52_2 = e2
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7122) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7123) all_52_2 = e2
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (7123) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7124) ~ (all_52_1 = e2)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (7123) imply:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7125) ~ (all_52_14 = e2)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7125) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7126) ~ (all_52_14 = e2)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7127) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7127) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7063), (7071), (7128), (function-axioms) are
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1161.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7129) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7129) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7130) (all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7131) (all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7132) all_54_11 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (6388), (7132) are inconsistent by
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1371.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7133) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7130) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7134) all_57_21 = e0 & op(e0, e2) = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7134) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7135) op(e0, e2) = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6805), (7135), (function-axioms) are
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1190.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7136) ~ (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7136) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7137) ~ (all_57_31 = e2)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7138) op(e0, e0) = all_57_31
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7133) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7139) all_54_11 = e2
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (7126), (7139) are inconsistent by
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1368.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7140) all_54_11 = e1 | all_54_11 = e0
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7141) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7141) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7142) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7142) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7143) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (7124), (7143), (function-axioms) are
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #651.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7144) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7063), (7144), (function-axioms) are inconsistent
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #650.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7145) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7145) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7146) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7146) gives:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7147) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7147) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7148) op(e1, e1) = e2
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7063), (7148), (function-axioms) are
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7149) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7149) implies:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7150) op(e0, e0) = e2
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7137), (7138), (7150), (function-axioms) are
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1239.
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7151) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.55/23.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7151) gives:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7152) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7152) implies:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7153) ~ (all_57_19 = e3)
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7154) op(e3, e3) = e2
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7131), (7153), (7154), (function-axioms) are
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #810.
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7155) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7155) gives:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7156) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7156) implies:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7157) op(e0, e0) = e2
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7137), (7138), (7157), (function-axioms) are
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1239.
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7158) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7158) implies:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7159) op(e2, e2) = e1
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6809), (7159), (function-axioms) are
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7160) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7160) gives:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7161) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7161) gives:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7162) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7162) gives:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7163) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7163) implies:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7164) op(e0, e0) = e1
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6389), (7164), (function-axioms) are
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1438.
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7165) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7165) implies:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7166) op(e3, e3) = e1
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (229), (233),
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (7099), (7124), (7166), (function-axioms)
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1298.
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7167) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (6386), (6389), (7167),
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #652.
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7168) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7168) gives:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7169) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7169) gives:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7170) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7170) implies:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7171) ~ (all_57_28 = e0)
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7172) op(e2, e2) = all_57_28
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6809), (7171), (7172), (function-axioms) are
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1060.
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7173) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7173) implies:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7174) op(e1, e0) = e1
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (250), (7083), (7140), (7174),
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #616.
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7175) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.55/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7175) gives:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7176) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7176) implies:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7177) ~ (all_57_28 = e0)
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7178) op(e2, e2) = all_57_28
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6809), (7177), (7178), (function-axioms) are
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1060.
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7179) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7179) gives:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7180) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7180) implies:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7181) op(e1, e0) = e1
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (250), (7083), (7140), (7181),
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #616.
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7182) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7182) implies:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7183) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (51), (158), (159), (6390),
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6805), (6809), (6842), (7116), (7117), (7183),
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1019.
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7184) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7184) gives:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7185) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7185) implies:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7186) (all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7187) (all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7188) all_54_11 = e3
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (6388), (7188) are inconsistent by
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1371.
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7189) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7190) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7190) gives:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7191) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7191) gives:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7192) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (7124), (7192), (function-axioms) are
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #651.
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7193) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7063), (7193), (function-axioms) are inconsistent
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #650.
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7194) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7194) gives:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7195) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6389), (7063), (7195), (function-axioms) are
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #641.
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7196) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7196) gives:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7197) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7197) implies:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7198) op(e3, e3) = e2
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7117), (7198), (function-axioms) are
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1228.
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7199) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (6389), (6809), (7199),
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #621.
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7200) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7200) gives:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7201) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7201) gives:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7202) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7186), (7187), (7202), (function-axioms) are
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #661.
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7203) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7203) gives:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7204) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7204) implies:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7205) ~ (all_57_24 = e0)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7206) op(e0, e0) = e1
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7186), (7205), (7206), (function-axioms) are
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1344.
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7207) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (6386), (7207), (function-axioms) are
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1283.
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7208) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7208) gives:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7209) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7209) gives:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7210) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7210) implies:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7211) ~ (all_57_28 = e0)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7212) op(e2, e2) = all_57_28
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6809), (7211), (7212), (function-axioms) are
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1060.
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7213) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7213) implies:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7214) op(e1, e0) = e1
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (250), (7083), (7126), (7189), (7214),
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #615.
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7215) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7215) gives:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7216) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7216) implies:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7217) ~ (all_57_28 = e0)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7218) op(e2, e2) = all_57_28
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6809), (7217), (7218), (function-axioms) are
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1060.
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7219) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7219) gives:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7220) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7220) implies:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7221) op(e1, e0) = e1
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (250), (7083), (7126), (7189), (7221),
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #615.
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7222) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7222) implies:
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7223) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (51), (158), (159), (6390),
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6805), (6809), (6842), (7116), (7117), (7223),
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1019.
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7224) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7224) implies:
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7225) (all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (6386), (7117), (7225), (function-axioms)
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #805.
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7226) ~ (all_54_8 = e2)
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (7226) imply:
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7227) ~ (all_52_2 = e2)
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (51), (159), (163), (233), (6390), (6814),
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6817), (6818), (6824), (6827), (7066), (7227),
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #613.
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | (7228) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (6803), (6832), (7081), (7228) are
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #612.
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | (7229) all_54_9 = e0
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (6804), (7229) are inconsistent by
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1242.
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | (7230) all_56_12 = e2 & op(e0, e3) = e2
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | ALPHA: (7230) implies:
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | (7231) op(e0, e3) = e2
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6831), (7231), (function-axioms) are
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | (7232) all_56_3 = e3 & op(e2, e2) = e3
% 159.71/23.36 | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | ALPHA: (7232) implies:
% 159.71/23.36 | | | | | | | | | | | | | | | | | | (7233) op(e2, e2) = e3
% 159.71/23.36 | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6809), (7233), (function-axioms) are
% 159.71/23.36 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 159.71/23.36 | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | (7234) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 159.71/23.36 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 159.71/23.36 | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | BETA: splitting (7234) gives:
% 159.71/23.36 | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.36 | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | (7235) all_56_5 = e3 & op(e2, e1) = e3
% 159.71/23.36 | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | ALPHA: (7235) implies:
% 159.71/23.36 | | | | | | | | | | | | | | | | | | (7236) all_56_5 = e3
% 159.71/23.36 | | | | | | | | | | | | | | | | | | (7237) op(e2, e1) = e3
% 159.71/23.36 | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (217),
% 159.71/23.36 | | | | | | | | | | | | | | | | | | (218), (219), (6806), (6834), (7063), (7236),
% 159.71/23.36 | | | | | | | | | | | | | | | | | | (7237), (function-axioms) are inconsistent by
% 159.71/23.36 | | | | | | | | | | | | | | | | | | sub-proof #943.
% 159.71/23.36 | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | (7238) all_56_10 = e3 & op(e2, e0) = e3
% 159.71/23.36 | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | ALPHA: (7238) implies:
% 159.71/23.36 | | | | | | | | | | | | | | | | | | (7239) op(e2, e0) = e3
% 159.71/23.36 | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6387), (7239), (function-axioms) are
% 159.71/23.36 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #795.
% 159.71/23.36 | | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | (7240) all_28_2 = e1
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | COMBINE_EQS: (315), (7240) imply:
% 159.71/23.36 | | | | | | | | | | | | | | | (7241) all_14_2 = e1
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | SIMP: (7241) implies:
% 159.71/23.36 | | | | | | | | | | | | | | | (7242) all_14_2 = e1
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | REDUCE: (6390), (7242) imply:
% 159.71/23.36 | | | | | | | | | | | | | | | (7243) ~ (e2 = e1)
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | REDUCE: (51), (7242) imply:
% 159.71/23.36 | | | | | | | | | | | | | | | (7244) op(e3, e3) = e1
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (165), (167),
% 159.71/23.36 | | | | | | | | | | | | | | | (170), (207), (217), (222), (223), (224), (229),
% 159.71/23.36 | | | | | | | | | | | | | | | (233), (234), (235), (372), (6381), (6389),
% 159.71/23.36 | | | | | | | | | | | | | | | (6806), (6809), (6814), (6815), (6832), (7244),
% 159.71/23.36 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.36 | | | | | | | | | | | | | | | #607.
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | (7245) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 159.71/23.36 | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 159.71/23.36 | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | REF_CLOSE: (9), (157), (6389), (6834), (7245),
% 159.71/23.36 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.36 | | | | | | | | | | | | | #606.
% 159.71/23.36 | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | (7246) all_54_13 = e1 | all_54_13 = e0
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | REF_CLOSE: (6814), (6817), (6824), (7246) are inconsistent by
% 159.71/23.36 | | | | | | | | | | | | sub-proof #614.
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | (7247) ~ (all_26_1 = e3) & op(e0, e0) = all_26_1 &
% 159.71/23.36 | | | | | | | | | | $i(all_26_1)
% 159.71/23.36 | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | ALPHA: (7247) implies:
% 159.71/23.36 | | | | | | | | | | (7248) ~ (all_26_1 = e3)
% 159.71/23.36 | | | | | | | | | | (7249) op(e0, e0) = all_26_1
% 159.71/23.36 | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | REF_CLOSE: (6389), (7248), (7249), (function-axioms) are
% 159.71/23.36 | | | | | | | | | | inconsistent by sub-proof #859.
% 159.71/23.36 | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | |
% 159.71/23.36 | | | | | | | | End of split
% 159.71/23.36 | | | | | | | |
% 159.71/23.36 | | | | | | | End of split
% 159.71/23.36 | | | | | | |
% 159.71/23.36 | | | | | | Case 2:
% 159.71/23.36 | | | | | | |
% 159.71/23.36 | | | | | | | (7250) all_16_2 = e3
% 159.71/23.36 | | | | | | |
% 159.71/23.36 | | | | | | | COMBINE_EQS: (328), (7250) imply:
% 159.71/23.36 | | | | | | | (7251) all_6_2 = e3
% 159.71/23.36 | | | | | | |
% 159.71/23.36 | | | | | | | SIMP: (7251) implies:
% 159.71/23.36 | | | | | | | (7252) all_6_2 = e3
% 159.71/23.36 | | | | | | |
% 159.71/23.36 | | | | | | | COMBINE_EQS: (332), (7252) imply:
% 159.71/23.36 | | | | | | | (7253) all_38_2 = e3
% 159.71/23.36 | | | | | | |
% 159.71/23.36 | | | | | | | REDUCE: (348), (7252) imply:
% 159.71/23.36 | | | | | | | (7254) ~ (all_52_1 = e3)
% 159.71/23.36 | | | | | | |
% 159.71/23.36 | | | | | | | REDUCE: (351), (7252) imply:
% 159.71/23.36 | | | | | | | (7255) ~ (all_52_4 = e3)
% 159.71/23.36 | | | | | | |
% 159.71/23.36 | | | | | | | REDUCE: (353), (7252) imply:
% 159.71/23.36 | | | | | | | (7256) ~ (all_52_6 = e3)
% 159.71/23.36 | | | | | | |
% 159.71/23.36 | | | | | | | REDUCE: (357), (7252) imply:
% 159.71/23.36 | | | | | | | (7257) ~ (all_52_9 = e3)
% 159.71/23.36 | | | | | | |
% 159.71/23.36 | | | | | | | REDUCE: (39), (7252) imply:
% 159.71/23.36 | | | | | | | (7258) op(e2, e2) = e3
% 159.71/23.36 | | | | | | |
% 159.71/23.36 | | | | | | | BETA: splitting (73) gives:
% 159.71/23.36 | | | | | | |
% 159.71/23.36 | | | | | | | Case 1:
% 159.71/23.36 | | | | | | | |
% 159.71/23.36 | | | | | | | | (7259) ~ (all_28_2 = e1)
% 159.71/23.36 | | | | | | | |
% 159.71/23.36 | | | | | | | | REDUCE: (315), (7259) imply:
% 159.71/23.36 | | | | | | | | (7260) ~ (all_14_2 = e1)
% 159.71/23.36 | | | | | | | |
% 159.71/23.36 | | | | | | | | BETA: splitting (79) gives:
% 159.71/23.36 | | | | | | | |
% 159.71/23.36 | | | | | | | | Case 1:
% 159.71/23.36 | | | | | | | | |
% 159.71/23.36 | | | | | | | | | (7261) ~ (all_32_2 = e3)
% 159.71/23.36 | | | | | | | | |
% 159.71/23.36 | | | | | | | | | REDUCE: (301), (7261) imply:
% 159.71/23.36 | | | | | | | | | (7262) ~ (all_4_2 = e3)
% 159.71/23.36 | | | | | | | | |
% 159.71/23.36 | | | | | | | | | BETA: splitting (194) gives:
% 159.71/23.36 | | | | | | | | |
% 159.71/23.36 | | | | | | | | | Case 1:
% 159.71/23.36 | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | (7263) all_54_10 = e3
% 159.71/23.36 | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | REF_CLOSE: (335), (7262), (7263) are inconsistent by
% 159.71/23.36 | | | | | | | | | | sub-proof #1479.
% 159.71/23.36 | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | (7264) ~ (all_54_10 = e3)
% 159.71/23.36 | | | | | | | | | | (7265) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 159.71/23.36 | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | BETA: splitting (7265) gives:
% 159.71/23.36 | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | Case 1:
% 159.71/23.36 | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | (7266) all_54_10 = e2
% 159.71/23.36 | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | REF_CLOSE: (335), (375), (7266) are inconsistent by sub-proof
% 159.71/23.36 | | | | | | | | | | | #1478.
% 159.71/23.36 | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | (7267) ~ (all_54_10 = e2)
% 159.71/23.36 | | | | | | | | | | | (7268) all_54_10 = e1 | all_54_10 = e0
% 159.71/23.36 | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | BETA: splitting (7268) gives:
% 159.71/23.36 | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | Case 1:
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | (7269) all_54_10 = e1
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | COMBINE_EQS: (335), (7269) imply:
% 159.71/23.36 | | | | | | | | | | | | (7270) all_4_2 = e1
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | SIMP: (7270) implies:
% 159.71/23.36 | | | | | | | | | | | | (7271) all_4_2 = e1
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | REDUCE: (349), (7271) imply:
% 159.71/23.36 | | | | | | | | | | | | (7272) ~ (all_52_2 = e1)
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | REDUCE: (363), (7271) imply:
% 159.71/23.36 | | | | | | | | | | | | (7273) ~ (all_52_9 = e1)
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | REDUCE: (365), (7271) imply:
% 159.71/23.36 | | | | | | | | | | | | (7274) ~ (all_52_11 = e1)
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | REDUCE: (367), (7271) imply:
% 159.71/23.36 | | | | | | | | | | | | (7275) ~ (all_52_14 = e1)
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | REDUCE: (7262), (7271) imply:
% 159.71/23.36 | | | | | | | | | | | | (7276) ~ (e3 = e1)
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | REDUCE: (36), (7271) imply:
% 159.71/23.36 | | | | | | | | | | | | (7277) op(e1, e1) = e1
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | BETA: splitting (238) gives:
% 159.71/23.36 | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | Case 1:
% 159.71/23.36 | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | (7278) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.36 | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.36 | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.36 | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.36 | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.36 | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.36 | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.36 | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.71/23.36 | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.36 | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.36 | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.71/23.36 | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.71/23.36 | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.71/23.36 | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.71/23.36 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.71/23.36 | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.71/23.36 | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 159.71/23.36 | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 159.71/23.36 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.36 | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 159.71/23.36 | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 159.71/23.36 | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.71/23.36 | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 159.71/23.36 | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 159.71/23.36 | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 159.71/23.36 | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 159.71/23.36 | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.71/23.36 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.71/23.36 | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.71/23.36 | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.71/23.36 | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.36 | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.71/23.36 | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.36 | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.36 | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.36 | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.71/23.36 | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | BETA: splitting (7278) gives:
% 159.71/23.36 | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | Case 1:
% 159.71/23.36 | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | (7279) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.36 | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.36 | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.36 | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.36 | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.36 | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.36 | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.36 | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.71/23.36 | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.36 | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.36 | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.71/23.36 | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.71/23.36 | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.71/23.36 | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.71/23.36 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.71/23.36 | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.71/23.36 | | | | | | | | | | | | | | $i(all_57_30))
% 159.71/23.36 | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | BETA: splitting (7279) gives:
% 159.71/23.36 | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | Case 1:
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | (7280) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.36 | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.36 | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.36 | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.36 | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.36 | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | BETA: splitting (7280) gives:
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | Case 1:
% 159.71/23.36 | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | (7281) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.36 | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 159.71/23.36 | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 159.71/23.36 | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | ALPHA: (7281) implies:
% 159.71/23.36 | | | | | | | | | | | | | | | | (7282) op(e1, e1) = e3
% 159.71/23.36 | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7277), (7282), (function-axioms) are
% 159.71/23.36 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1477.
% 159.71/23.36 | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | (7283) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 159.71/23.36 | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 159.71/23.36 | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 159.71/23.36 | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | ALPHA: (7283) implies:
% 159.71/23.36 | | | | | | | | | | | | | | | | (7284) ~ (all_57_28 = e3)
% 159.71/23.36 | | | | | | | | | | | | | | | | (7285) op(e2, e2) = all_57_28
% 159.71/23.36 | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | | REF_CLOSE: (7258), (7284), (7285), (function-axioms) are
% 159.71/23.36 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1048.
% 159.71/23.36 | | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | (7286) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.36 | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 159.71/23.36 | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 159.71/23.36 | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 159.71/23.36 | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.36 | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | REF_CLOSE: (163), (7272), (7286), (function-axioms) are
% 159.71/23.36 | | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | (7287) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.36 | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.71/23.36 | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.71/23.36 | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.71/23.36 | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.71/23.36 | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.71/23.36 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.36 | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 159.71/23.36 | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.36 | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.36 | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 159.71/23.36 | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 159.71/23.36 | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.71/23.36 | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.71/23.36 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.71/23.36 | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.71/23.36 | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.71/23.36 | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.71/23.36 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.71/23.36 | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.36 | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.71/23.36 | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | BETA: splitting (7287) gives:
% 159.71/23.36 | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | Case 1:
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | (7288) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.36 | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.71/23.36 | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.71/23.36 | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.71/23.36 | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.71/23.36 | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (375), (6389), (7288),
% 159.71/23.36 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.36 | | | | | | | | | | | | | | | #656.
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | (7289) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.71/23.36 | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.71/23.36 | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.71/23.36 | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.71/23.36 | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.36 | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.36 | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (51), (6389), (6390), (7258), (7289),
% 159.71/23.36 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.36 | | | | | | | | | | | | | | | #604.
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | End of split
% 159.71/23.36 | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | Case 2:
% 159.71/23.36 | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | (7290) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.36 | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.36 | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.36 | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.36 | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.36 | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.36 | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.36 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.71/23.36 | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.71/23.36 | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.36 | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.71/23.36 | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.71/23.36 | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.71/23.36 | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.71/23.36 | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.71/23.36 | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.71/23.36 | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.71/23.36 | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.36 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.36 | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.36 | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 159.71/23.36 | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 159.71/23.36 | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 159.71/23.36 | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 159.71/23.36 | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 159.71/23.36 | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.71/23.36 | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.71/23.36 | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 159.71/23.36 | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 159.71/23.36 | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 159.71/23.36 | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.36 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.36 | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 159.71/23.36 | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 159.71/23.36 | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 159.71/23.36 | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 159.71/23.36 | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 159.71/23.36 | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.71/23.36 | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 159.71/23.36 | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 159.71/23.36 | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 159.71/23.36 | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.36 | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.36 | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.36 | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.36 | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.36 | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.36 | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.36 | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.36 | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.36 | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.36 | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.36 | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.36 | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.36 | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.36 | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.36 | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.36 | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.36 | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.36 | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.36 | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.36 | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | BETA: splitting (7290) gives:
% 159.71/23.36 | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | Case 1:
% 159.71/23.36 | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | (7291) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.36 | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.36 | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.36 | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.36 | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.36 | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.36 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.36 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.36 | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.71/23.36 | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.71/23.36 | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.36 | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.71/23.36 | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.71/23.36 | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.71/23.36 | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.71/23.36 | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.71/23.36 | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.71/23.36 | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.71/23.36 | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.36 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.36 | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.36 | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.71/23.36 | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | BETA: splitting (7291) gives:
% 159.71/23.36 | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | Case 1:
% 159.71/23.36 | | | | | | | | | | | | | | |
% 159.71/23.36 | | | | | | | | | | | | | | | (7292) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.36 | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.36 | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.36 | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.36 | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.36 | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.36 | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.37 | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 159.71/23.37 | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (6389), (7260), (7292),
% 159.71/23.37 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.37 | | | | | | | | | | | | | | | #653.
% 159.71/23.37 | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | (7293) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.37 | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.71/23.37 | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.71/23.37 | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.37 | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 159.71/23.37 | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.71/23.37 | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 159.71/23.37 | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 159.71/23.37 | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 159.71/23.37 | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 159.71/23.37 | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (6386), (6389), (7293),
% 159.71/23.37 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.37 | | | | | | | | | | | | | | | #652.
% 159.71/23.37 | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | (7294) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.71/23.37 | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.71/23.37 | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.71/23.37 | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.71/23.37 | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.71/23.37 | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.71/23.37 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.37 | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 159.71/23.37 | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 159.71/23.37 | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.37 | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 159.71/23.37 | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 159.71/23.37 | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.37 | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.71/23.37 | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.71/23.37 | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.71/23.37 | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.71/23.37 | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.71/23.37 | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.71/23.37 | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.37 | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.37 | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.37 | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.37 | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.37 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.37 | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.37 | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.37 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.37 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.37 | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.37 | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.37 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.37 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.37 | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.37 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.37 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.37 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.37 | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.37 | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.37 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.37 | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | BETA: splitting (7294) gives:
% 159.71/23.37 | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | (7295) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.71/23.37 | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.71/23.37 | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.71/23.37 | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.71/23.37 | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.37 | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 159.71/23.37 | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | BETA: splitting (7295) gives:
% 159.71/23.37 | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | (7296) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.71/23.37 | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | ALPHA: (7296) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | (7297) op(e2, e0) = e2
% 159.71/23.37 | | | | | | | | | | | | | | | | (7298) op(e3, e3) = e0
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | (7299) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | BETA: splitting (7299) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | (7300) all_56_6 = e3 & op(e1, e3) = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | ALPHA: (7300) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | (7301) all_56_6 = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | (7302) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | BETA: splitting (7302) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (7303) all_56_4 = e3 & op(e3, e1) = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | ALPHA: (7303) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (7304) op(e3, e1) = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (7297) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (7305) all_52_13 = e2
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (7304) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (7306) all_52_8 = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2, e0,
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (51), (7298) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (7307) all_14_2 = e0
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (7305) imply:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (7308) ~ (all_52_1 = e2)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (7306) imply:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (7309) ~ (all_52_9 = e3)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (7306) imply:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (7310) ~ (all_52_11 = e3)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (7305) imply:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (7311) ~ (all_52_9 = e2)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (6387), (7305) imply:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (7312) ~ (e3 = e2)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | REDUCE: (6390), (7307) imply:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (7313) ~ (e2 = e0)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | (7314) all_54_6 = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (7257), (7314) are inconsistent by
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | sub-proof #1393.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | (7315) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | (7316) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (7298), (7308), (7316),
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | #1214.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | (7317) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7317) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | (7318) all_56_6 = e2 & op(e1, e3) = e2
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7318) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | (7319) all_56_6 = e2
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7301), (7319) are inconsistent by sub-proof
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | #1414.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | (7320) all_56_12 = e2 & op(e0, e3) = e2
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7320) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | (7321) op(e0, e3) = e2
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7315) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | (7322) all_54_6 = e2
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (7311), (7322) are inconsistent by
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1392.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | (7323) all_54_6 = e1 | all_54_6 = e0
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7323) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | (7324) all_54_6 = e1
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (7273), (7324) are inconsistent by
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1391.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | (7325) all_54_6 = e0
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (7325) imply:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | (7326) all_52_9 = e0
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7326) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | (7327) all_52_9 = e0
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (7327) imply:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | (7328) ~ (all_52_11 = e0)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7328) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | (7329) ~ (all_52_11 = e0)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7330) all_54_14 = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (6385), (7330) are inconsistent by
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1390.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (7331) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7331) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7332) all_54_14 = e2
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (7332) imply:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7333) all_52_11 = e2
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7333) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7334) all_52_11 = e2
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (7334) imply:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7335) ~ (all_52_3 = e2)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7321), (7335), (function-axioms) are
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7336) all_54_14 = e1 | all_54_14 = e0
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (7274), (7329), (7336) are inconsistent by
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1356.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (7337) all_56_5 = e3 & op(e2, e1) = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7257), (7337), (function-axioms) are
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #603.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | (7338) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (6385), (7277), (7338),
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | #602.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | (7339) all_56_7 = e3 & op(e1, e2) = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | ALPHA: (7339) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | (7340) op(e1, e2) = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7256), (7340), (function-axioms) are
% 159.71/23.37 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1268.
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | (7341) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (6388), (7277), (7341),
% 159.71/23.37 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.37 | | | | | | | | | | | | | | | | | #1354.
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | (7342) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.71/23.37 | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | ALPHA: (7342) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | (7343) op(e1, e0) = e1
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7275), (7343), (function-axioms) are
% 159.71/23.37 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1338.
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | (7344) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.71/23.37 | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.71/23.37 | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.71/23.37 | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 159.71/23.37 | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.37 | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 159.71/23.37 | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.37 | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.71/23.37 | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.71/23.37 | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 159.71/23.37 | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.37 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.37 | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.37 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.37 | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.37 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.37 | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.37 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.37 | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.37 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.37 | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | BETA: splitting (7344) gives:
% 159.71/23.37 | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | (7345) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.71/23.37 | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.71/23.37 | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.71/23.37 | | | | | | | | | | | | | | | | $i(all_57_29)
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | ALPHA: (7345) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | (7346) op(e1, e1) = e0
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7277), (7346), (function-axioms) are
% 159.71/23.37 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1455.
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | (7347) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.37 | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.71/23.37 | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.71/23.37 | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.71/23.37 | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.71/23.37 | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.71/23.37 | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.71/23.37 | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.37 | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.37 | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.37 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.37 | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.37 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.37 | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.37 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.37 | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.37 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.37 | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.37 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | BETA: splitting (7347) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | (7348) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | ALPHA: (7348) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | | (7349) op(e2, e2) = e0
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7258), (7349), (function-axioms) are
% 159.71/23.37 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | (7350) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.71/23.37 | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 159.71/23.37 | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.37 | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 159.71/23.37 | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.71/23.37 | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.37 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 159.71/23.37 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 159.71/23.37 | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 159.71/23.37 | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.37 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 159.71/23.37 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 159.71/23.37 | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 159.71/23.37 | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.37 | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | ALPHA: (7350) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | | (7351) op(e0, e0) = all_57_31
% 159.71/23.37 | | | | | | | | | | | | | | | | | (7352) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.37 | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.37 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.37 | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.37 | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.37 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.71/23.37 | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.37 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.37 | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.71/23.37 | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | (7353) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | BETA: splitting (7353) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | (7354) all_56_4 = e3 & op(e3, e1) = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | ALPHA: (7354) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | (7355) op(e3, e1) = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | BETA: splitting (7352) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (7356) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7356) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | (7357) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7357) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | (7358) ~ (all_57_31 = e3)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6389), (7351), (7358), (function-axioms) are
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1231.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | (7359) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (6390), (7277), (7359),
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | #1336.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (7360) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7360) gives:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | (7361) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7361) implies:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | (7362) op(e1, e1) = e2
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (7362), (function-axioms) are
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | (7363) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7258), (7355), (7363), (function-axioms) are
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #600.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | (7364) all_56_5 = e3 & op(e2, e1) = e3
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7257), (7364), (function-axioms) are
% 159.71/23.37 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #603.
% 159.71/23.37 | | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | (7365) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 159.71/23.37 | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (6385), (7277), (7365),
% 159.71/23.37 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.37 | | | | | | | | | | | | | | | | | | #602.
% 159.71/23.37 | | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | (7366) all_54_10 = e0
% 159.71/23.37 | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | | REF_CLOSE: (335), (372), (7366) are inconsistent by sub-proof
% 159.71/23.37 | | | | | | | | | | | | #1332.
% 159.71/23.37 | | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | | |
% 159.71/23.37 | | | | | | | | | End of split
% 159.71/23.37 | | | | | | | | |
% 159.71/23.37 | | | | | | | | Case 2:
% 159.71/23.37 | | | | | | | | |
% 159.71/23.38 | | | | | | | | | (7367) all_32_2 = e3
% 159.71/23.38 | | | | | | | | |
% 159.71/23.38 | | | | | | | | | COMBINE_EQS: (301), (7367) imply:
% 159.71/23.38 | | | | | | | | | (7368) all_4_2 = e3
% 159.71/23.38 | | | | | | | | |
% 159.71/23.38 | | | | | | | | | SIMP: (7368) implies:
% 159.71/23.38 | | | | | | | | | (7369) all_4_2 = e3
% 159.71/23.38 | | | | | | | | |
% 159.71/23.38 | | | | | | | | | REDUCE: (349), (7369) imply:
% 159.71/23.38 | | | | | | | | | (7370) ~ (all_52_2 = e3)
% 159.71/23.38 | | | | | | | | |
% 159.71/23.38 | | | | | | | | | REDUCE: (36), (7369) imply:
% 159.71/23.38 | | | | | | | | | (7371) op(e1, e1) = e3
% 159.71/23.38 | | | | | | | | |
% 159.71/23.38 | | | | | | | | | BETA: splitting (235) gives:
% 159.71/23.38 | | | | | | | | |
% 159.71/23.38 | | | | | | | | | Case 1:
% 159.71/23.38 | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | (7372) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 159.71/23.38 | | | | | | | | | | & op(e2, e3) = e3)
% 159.71/23.38 | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | BETA: splitting (7372) gives:
% 159.71/23.38 | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | Case 1:
% 159.71/23.38 | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | (7373) all_56_0 = e3 & op(e3, e3) = e3
% 159.71/23.38 | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | ALPHA: (7373) implies:
% 159.71/23.38 | | | | | | | | | | | (7374) op(e3, e3) = e3
% 159.71/23.38 | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2, e3,
% 159.71/23.38 | | | | | | | | | | | e3, e3, simplifying with (51), (7374) gives:
% 159.71/23.38 | | | | | | | | | | | (7375) all_14_2 = e3
% 159.71/23.38 | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | BETA: splitting (238) gives:
% 159.71/23.38 | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | Case 1:
% 159.71/23.38 | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | (7376) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.38 | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.38 | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.38 | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.38 | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.38 | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.38 | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.38 | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.38 | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.71/23.38 | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.38 | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.38 | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.71/23.38 | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.71/23.38 | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.71/23.38 | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.71/23.38 | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.71/23.38 | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.71/23.38 | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 159.71/23.38 | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 159.71/23.38 | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.38 | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.38 | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 159.71/23.38 | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 159.71/23.38 | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.71/23.38 | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 159.71/23.38 | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 159.71/23.38 | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 159.71/23.38 | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 159.71/23.38 | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.71/23.38 | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.71/23.38 | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.71/23.38 | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.71/23.38 | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.38 | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.38 | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.71/23.38 | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.38 | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.38 | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.38 | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.71/23.38 | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | BETA: splitting (7376) gives:
% 159.71/23.38 | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | Case 1:
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | (7377) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.38 | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.38 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.38 | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.38 | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.38 | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.38 | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.71/23.38 | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.38 | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.38 | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.71/23.38 | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.71/23.38 | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.71/23.38 | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.71/23.38 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.71/23.38 | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_30))
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | BETA: splitting (7377) gives:
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | Case 1:
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | (7378) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.38 | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.38 | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.38 | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.38 | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | REF_CLOSE: (7258), (7378), (function-axioms) are inconsistent
% 159.71/23.38 | | | | | | | | | | | | | | by sub-proof #599.
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | Case 2:
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | (7379) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.38 | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 159.71/23.38 | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 159.71/23.38 | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 159.71/23.38 | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | REF_CLOSE: (7371), (7379), (function-axioms) are inconsistent
% 159.71/23.38 | | | | | | | | | | | | | | by sub-proof #650.
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | End of split
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | Case 2:
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | (7380) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.38 | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.71/23.38 | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.71/23.38 | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.71/23.38 | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.71/23.38 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.38 | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 159.71/23.38 | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.38 | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.38 | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 159.71/23.38 | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 159.71/23.38 | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.71/23.38 | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.71/23.38 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.71/23.38 | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.71/23.38 | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.71/23.38 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.71/23.38 | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | BETA: splitting (7380) gives:
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | Case 1:
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | (7381) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.38 | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.71/23.38 | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.71/23.38 | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.71/23.38 | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.71/23.38 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | REF_CLOSE: (9), (6389), (7371), (7381), (function-axioms) are
% 159.71/23.38 | | | | | | | | | | | | | | inconsistent by sub-proof #641.
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | Case 2:
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | (7382) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.71/23.38 | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.71/23.38 | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.71/23.38 | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.71/23.38 | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.38 | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.38 | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (51), (6389), (6390), (7258), (7382),
% 159.71/23.38 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.38 | | | | | | | | | | | | | | #604.
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | End of split
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | End of split
% 159.71/23.38 | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | Case 2:
% 159.71/23.38 | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | (7383) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.38 | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.38 | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.38 | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.38 | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.38 | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.38 | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.38 | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.38 | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.71/23.38 | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.71/23.38 | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.38 | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.71/23.38 | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.71/23.38 | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.71/23.38 | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.71/23.38 | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.71/23.38 | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.71/23.38 | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.71/23.38 | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.38 | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.38 | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.38 | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 159.71/23.38 | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 159.71/23.38 | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 159.71/23.38 | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 159.71/23.38 | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 159.71/23.38 | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.71/23.38 | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.71/23.38 | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 159.71/23.38 | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 159.71/23.38 | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 159.71/23.38 | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.38 | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 159.71/23.38 | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.38 | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 159.71/23.38 | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 159.71/23.38 | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 159.71/23.38 | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 159.71/23.38 | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 159.71/23.38 | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.71/23.38 | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 159.71/23.38 | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 159.71/23.38 | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 159.71/23.38 | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.38 | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.38 | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.38 | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.38 | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.38 | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.38 | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.38 | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.38 | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.38 | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.38 | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.38 | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.38 | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.38 | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.38 | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.38 | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.38 | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.38 | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.38 | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.38 | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.38 | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.38 | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | BETA: splitting (7383) gives:
% 159.71/23.38 | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | Case 1:
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | (7384) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.38 | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.38 | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.38 | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.38 | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.38 | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.38 | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.71/23.38 | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.71/23.38 | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.38 | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.71/23.38 | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.71/23.38 | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.71/23.38 | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.71/23.38 | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.71/23.38 | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.71/23.38 | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.38 | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.38 | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | BETA: splitting (7384) gives:
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | Case 1:
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | (7385) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.38 | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.38 | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.38 | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.38 | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.38 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | BETA: splitting (7385) gives:
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | Case 1:
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | (7386) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.38 | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.38 | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.38 | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.38 | | | | | | | | | | | | | | | $i(all_57_26)
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | ALPHA: (7386) implies:
% 159.71/23.38 | | | | | | | | | | | | | | | (7387) op(e0, e0) = e1
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | REF_CLOSE: (8), (6389), (7387), (function-axioms) are
% 159.71/23.38 | | | | | | | | | | | | | | | inconsistent by sub-proof #1438.
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | Case 2:
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | (7388) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 159.71/23.38 | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 159.71/23.38 | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 159.71/23.38 | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | ALPHA: (7388) implies:
% 159.71/23.38 | | | | | | | | | | | | | | | (7389) op(e3, e3) = e1
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | REF_CLOSE: (8), (7374), (7389), (function-axioms) are
% 159.71/23.38 | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | End of split
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | Case 2:
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | (7390) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.38 | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.71/23.38 | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.71/23.38 | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 159.71/23.38 | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 159.71/23.38 | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 159.71/23.38 | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 159.71/23.38 | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 159.71/23.38 | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | REF_CLOSE: (8), (168), (6386), (6389), (7390),
% 159.71/23.38 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.38 | | | | | | | | | | | | | | #652.
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | End of split
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | Case 2:
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | (7391) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.71/23.38 | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.71/23.38 | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.71/23.38 | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.71/23.38 | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.71/23.38 | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.71/23.38 | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 159.71/23.38 | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 159.71/23.38 | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.38 | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 159.71/23.38 | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 159.71/23.38 | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.38 | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.38 | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.71/23.38 | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.71/23.38 | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.71/23.38 | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.71/23.38 | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.71/23.38 | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.38 | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.38 | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.38 | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.38 | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.38 | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.38 | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.38 | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.38 | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.38 | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.38 | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.38 | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.38 | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.38 | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.38 | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.38 | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.38 | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.38 | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.38 | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.38 | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.38 | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | BETA: splitting (7391) gives:
% 159.71/23.38 | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | Case 1:
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | (7392) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.71/23.38 | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.71/23.38 | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.71/23.38 | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.71/23.38 | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | REF_CLOSE: (7), (7374), (7392), (function-axioms) are
% 159.71/23.38 | | | | | | | | | | | | | | inconsistent by sub-proof #598.
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | Case 2:
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | (7393) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.71/23.38 | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.71/23.38 | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 159.71/23.38 | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 159.71/23.38 | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 159.71/23.38 | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 159.71/23.38 | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.38 | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.38 | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.71/23.38 | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.71/23.38 | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 159.71/23.38 | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.38 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.38 | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.38 | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.38 | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.38 | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.38 | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.38 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.38 | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.38 | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.38 | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.38 | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.38 | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.38 | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | BETA: splitting (7393) gives:
% 159.71/23.38 | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | Case 1:
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | (7394) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.71/23.38 | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.71/23.38 | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.71/23.38 | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.71/23.38 | | | | | | | | | | | | | | | $i(all_57_29)
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | ALPHA: (7394) implies:
% 159.71/23.38 | | | | | | | | | | | | | | | (7395) op(e1, e1) = e0
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | REF_CLOSE: (7), (7371), (7395), (function-axioms) are
% 159.71/23.38 | | | | | | | | | | | | | | | inconsistent by sub-proof #1324.
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | Case 2:
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | (7396) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.38 | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.38 | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.71/23.38 | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.71/23.38 | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.71/23.38 | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.71/23.38 | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.71/23.38 | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.71/23.38 | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.38 | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.38 | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.38 | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.38 | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.38 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.38 | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.38 | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.38 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.38 | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.38 | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.38 | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.38 | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.38 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.38 | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.38 | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.38 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.38 | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.38 | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.38 | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.38 | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | BETA: splitting (7396) gives:
% 159.71/23.38 | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | Case 1:
% 159.71/23.38 | | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | | (7397) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.38 | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.38 | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 159.71/23.38 | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 159.71/23.38 | | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | | ALPHA: (7397) implies:
% 159.71/23.38 | | | | | | | | | | | | | | | | (7398) op(e2, e2) = e0
% 159.71/23.38 | | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7258), (7398), (function-axioms) are
% 159.71/23.38 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 159.71/23.38 | | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | Case 2:
% 159.71/23.38 | | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | | (7399) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.71/23.38 | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 159.71/23.38 | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.38 | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 159.71/23.38 | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.71/23.38 | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.71/23.38 | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 159.71/23.38 | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.38 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 159.71/23.38 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 159.71/23.38 | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 159.71/23.38 | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 159.71/23.38 | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 159.71/23.38 | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.71/23.38 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.38 | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 159.71/23.38 | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 159.71/23.38 | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 159.71/23.38 | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 159.71/23.38 | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 159.71/23.38 | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.38 | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 159.71/23.38 | | | | | | | | | | | | | | | |
% 159.71/23.38 | | | | | | | | | | | | | | | | ALPHA: (7399) implies:
% 159.71/23.38 | | | | | | | | | | | | | | | | (7400) op(e0, e0) = all_57_31
% 159.71/23.38 | | | | | | | | | | | | | | | | (7401) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.38 | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.38 | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.38 | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.71/23.38 | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.38 | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.38 | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.71/23.38 | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.38 | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.38 | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.38 | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.38 | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.71/23.38 | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.71/23.38 | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.71/23.38 | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.38 | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.38 | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.71/23.38 | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.38 | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.71/23.38 | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.71/23.38 | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 159.71/23.39 | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (6389), (7400)
% 159.71/23.39 | | | | | | | | | | | | | | | | gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | (7402) all_57_31 = e3
% 159.71/23.39 | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | BETA: splitting (7401) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | (7403) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.39 | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (6389), (6390), (7400), (7403),
% 159.71/23.39 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.39 | | | | | | | | | | | | | | | | | #643.
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | (7404) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.71/23.39 | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | BETA: splitting (7404) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | (7405) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 159.71/23.39 | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | ALPHA: (7405) implies:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | (7406) op(e1, e1) = e2
% 159.71/23.39 | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7371), (7406), (function-axioms) are
% 159.71/23.39 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 159.71/23.39 | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | (7407) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 159.71/23.39 | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7258), (7374), (7407), (function-axioms) are
% 159.71/23.39 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #830.
% 159.71/23.39 | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | End of split
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | End of split
% 159.71/23.39 | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | End of split
% 159.71/23.39 | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | End of split
% 159.71/23.39 | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | End of split
% 159.71/23.39 | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | End of split
% 159.71/23.39 | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | End of split
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | (7408) all_56_2 = e3 & op(e2, e3) = e3
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | ALPHA: (7408) implies:
% 159.71/23.39 | | | | | | | | | | | (7409) op(e2, e3) = e3
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | REF_CLOSE: (167), (7254), (7409), (function-axioms) are
% 159.71/23.39 | | | | | | | | | | | inconsistent by sub-proof #597.
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | End of split
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | (7410) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 159.71/23.39 | | | | | | | | | | e3 & op(e0, e3) = e3)
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | BETA: splitting (7410) gives:
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | (7411) all_56_6 = e3 & op(e1, e3) = e3
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | REF_CLOSE: (163), (7370), (7411), (function-axioms) are
% 159.71/23.39 | | | | | | | | | | | inconsistent by sub-proof #596.
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | (7412) all_56_12 = e3 & op(e0, e3) = e3
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | REF_CLOSE: (159), (6383), (7412), (function-axioms) are
% 159.71/23.39 | | | | | | | | | | | inconsistent by sub-proof #595.
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | End of split
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | End of split
% 159.71/23.39 | | | | | | | | |
% 159.71/23.39 | | | | | | | | End of split
% 159.71/23.39 | | | | | | | |
% 159.71/23.39 | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | |
% 159.71/23.39 | | | | | | | | (7413) all_28_2 = e1
% 159.71/23.39 | | | | | | | |
% 159.71/23.39 | | | | | | | | COMBINE_EQS: (315), (7413) imply:
% 159.71/23.39 | | | | | | | | (7414) all_14_2 = e1
% 159.71/23.39 | | | | | | | |
% 159.71/23.39 | | | | | | | | REDUCE: (337), (7414) imply:
% 159.71/23.39 | | | | | | | | (7415) ~ (all_52_1 = e1)
% 159.71/23.39 | | | | | | | |
% 159.71/23.39 | | | | | | | | REDUCE: (339), (7414) imply:
% 159.71/23.39 | | | | | | | | (7416) ~ (all_52_2 = e1)
% 159.71/23.39 | | | | | | | |
% 159.71/23.39 | | | | | | | | REDUCE: (343), (7414) imply:
% 159.71/23.39 | | | | | | | | (7417) ~ (all_52_4 = e1)
% 159.71/23.39 | | | | | | | |
% 159.71/23.39 | | | | | | | | REDUCE: (345), (7414) imply:
% 159.71/23.39 | | | | | | | | (7418) ~ (all_52_8 = e1)
% 159.71/23.39 | | | | | | | |
% 159.71/23.39 | | | | | | | | REDUCE: (6390), (7414) imply:
% 159.71/23.39 | | | | | | | | (7419) ~ (e2 = e1)
% 159.71/23.39 | | | | | | | |
% 159.71/23.39 | | | | | | | | REDUCE: (51), (7414) imply:
% 159.71/23.39 | | | | | | | | (7420) op(e3, e3) = e1
% 159.71/23.39 | | | | | | | |
% 159.71/23.39 | | | | | | | | BETA: splitting (235) gives:
% 159.71/23.39 | | | | | | | |
% 159.71/23.39 | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | |
% 159.71/23.39 | | | | | | | | | (7421) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3 &
% 159.71/23.39 | | | | | | | | | op(e2, e3) = e3)
% 159.71/23.39 | | | | | | | | |
% 159.71/23.39 | | | | | | | | | BETA: splitting (7421) gives:
% 159.71/23.39 | | | | | | | | |
% 159.71/23.39 | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | (7422) all_56_0 = e3 & op(e3, e3) = e3
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | ALPHA: (7422) implies:
% 159.71/23.39 | | | | | | | | | | (7423) op(e3, e3) = e3
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | REF_CLOSE: (8), (7420), (7423), (function-axioms) are
% 159.71/23.39 | | | | | | | | | | inconsistent by sub-proof #1313.
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | (7424) all_56_2 = e3 & op(e2, e3) = e3
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | ALPHA: (7424) implies:
% 159.71/23.39 | | | | | | | | | | (7425) op(e2, e3) = e3
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | REF_CLOSE: (167), (7254), (7425), (function-axioms) are
% 159.71/23.39 | | | | | | | | | | inconsistent by sub-proof #597.
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | End of split
% 159.71/23.39 | | | | | | | | |
% 159.71/23.39 | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | |
% 159.71/23.39 | | | | | | | | | (7426) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 = e3
% 159.71/23.39 | | | | | | | | | & op(e0, e3) = e3)
% 159.71/23.39 | | | | | | | | |
% 159.71/23.39 | | | | | | | | | BETA: splitting (7426) gives:
% 159.71/23.39 | | | | | | | | |
% 159.71/23.39 | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | (7427) all_56_6 = e3 & op(e1, e3) = e3
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | ALPHA: (7427) implies:
% 159.71/23.39 | | | | | | | | | | (7428) all_56_6 = e3
% 159.71/23.39 | | | | | | | | | | (7429) op(e1, e3) = e3
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | BETA: splitting (88) gives:
% 159.71/23.39 | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | (7430) ~ (all_38_2 = e3)
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | REDUCE: (7253), (7430) imply:
% 159.71/23.39 | | | | | | | | | | | (7431) $false
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | CLOSE: (7431) is inconsistent.
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | (7432) ( ~ (all_38_0 = e0) & op(e3, e2) = all_38_0 &
% 159.71/23.39 | | | | | | | | | | | $i(all_38_0)) | ( ~ (all_38_1 = e1) & op(e3, e3)
% 159.71/23.39 | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | BETA: splitting (6381) gives:
% 159.71/23.39 | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | (7433) ~ (all_10_0 = e2) & op(e3, e0) = all_10_0 &
% 159.71/23.39 | | | | | | | | | | | | $i(all_10_0)
% 159.71/23.39 | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | ALPHA: (7433) implies:
% 159.71/23.39 | | | | | | | | | | | | (7434) ~ (all_10_0 = e2)
% 159.71/23.39 | | | | | | | | | | | | (7435) op(e3, e0) = all_10_0
% 159.71/23.39 | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | BETA: splitting (236) gives:
% 159.71/23.39 | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | (7436) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 159.71/23.39 | | | | | | | | | | | | | & op(e3, e2) = e3)
% 159.71/23.39 | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | REF_CLOSE: (8), (170), (7255), (7420), (7436),
% 159.71/23.39 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.39 | | | | | | | | | | | | | #763.
% 159.71/23.39 | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | (7437) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 159.71/23.39 | | | | | | | | | | | | | & op(e3, e0) = e3)
% 159.71/23.39 | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | BETA: splitting (7437) gives:
% 159.71/23.39 | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | (7438) all_56_4 = e3 & op(e3, e1) = e3
% 159.71/23.39 | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | ALPHA: (7438) implies:
% 159.71/23.39 | | | | | | | | | | | | | | (7439) op(e3, e1) = e3
% 159.71/23.39 | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | BETA: splitting (7432) gives:
% 159.71/23.39 | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | (7440) ~ (all_38_0 = e0) & op(e3, e2) = all_38_0 &
% 159.71/23.39 | | | | | | | | | | | | | | | $i(all_38_0)
% 159.71/23.39 | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | ALPHA: (7440) implies:
% 159.71/23.39 | | | | | | | | | | | | | | | (7441) ~ (all_38_0 = e0)
% 159.71/23.39 | | | | | | | | | | | | | | | (7442) op(e3, e2) = all_38_0
% 159.71/23.39 | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 159.71/23.39 | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | (7443) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 159.71/23.39 | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 159.71/23.39 | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | BETA: splitting (7443) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | (7444) all_56_0 = e1 & op(e3, e3) = e1
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 159.71/23.39 | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (7429) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | | (7445) all_52_2 = e3
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 159.71/23.39 | | | | | | | | | | | | | | | | | all_10_0, e0, e3, simplifying with (168), (7435)
% 159.71/23.39 | | | | | | | | | | | | | | | | | gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | | (7446) all_52_12 = all_10_0
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 159.71/23.39 | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (7439) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | | (7447) all_52_8 = e3
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 159.71/23.39 | | | | | | | | | | | | | | | | | all_38_0, e2, e3, simplifying with (170), (7442)
% 159.71/23.39 | | | | | | | | | | | | | | | | | gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | | (7448) all_52_4 = all_38_0
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (7448) imply:
% 159.71/23.39 | | | | | | | | | | | | | | | | | (7449) all_54_1 = all_38_0
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | REDUCE: (141), (7445) imply:
% 159.71/23.39 | | | | | | | | | | | | | | | | | (7450) ~ (all_52_14 = e3)
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | REDUCE: (135), (7448) imply:
% 159.71/23.39 | | | | | | | | | | | | | | | | | (7451) ~ (all_52_7 = all_38_0)
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | SIMP: (7451) implies:
% 159.71/23.39 | | | | | | | | | | | | | | | | | (7452) ~ (all_52_7 = all_38_0)
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | REDUCE: (7255), (7448) imply:
% 159.71/23.39 | | | | | | | | | | | | | | | | | (7453) ~ (all_38_0 = e3)
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | REDUCE: (7417), (7448) imply:
% 159.71/23.39 | | | | | | | | | | | | | | | | | (7454) ~ (all_38_0 = e1)
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | (7455) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 159.71/23.39 | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 159.71/23.39 | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7420), (7441), (7442), (7455),
% 159.71/23.39 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.39 | | | | | | | | | | | | | | | | | | #761.
% 159.71/23.39 | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | (7456) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 159.71/23.39 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 159.71/23.39 | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | BETA: splitting (7456) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | (7457) all_56_4 = e0 & op(e3, e1) = e0
% 159.71/23.39 | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | ALPHA: (7457) implies:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | (7458) op(e3, e1) = e0
% 159.71/23.39 | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7439), (7458), (function-axioms) are
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1458.
% 159.71/23.39 | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | (7459) all_56_9 = e0 & op(e3, e0) = e0
% 159.71/23.39 | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | ALPHA: (7459) implies:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | (7460) all_56_9 = e0
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | (7461) op(e3, e0) = e0
% 159.71/23.39 | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | (7462) all_54_1 = e3
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7449), (7462) imply:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | (7463) all_38_0 = e3
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (7453), (7463) imply:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | (7464) $false
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | CLOSE: (7464) is inconsistent.
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | (7465) ~ (all_54_1 = e3)
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | (7466) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (7467) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7467) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | (7468) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7468) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | (7469) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7258), (7469), (function-axioms) are inconsistent
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #599.
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | (7470) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7416), (7470), (function-axioms) are
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | (7471) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7471) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | (7472) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (375), (6389), (7472),
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | #656.
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | (7473) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (6389), (7258), (7420), (7473),
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | #594.
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (7474) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7474) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | (7475) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7475) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | (7476) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7476) gives:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | | (7477) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7477) implies:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | | (7478) op(e0, e0) = e1
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6389), (7478), (function-axioms) are
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1438.
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | | (7479) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 159.71/23.39 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7479) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (7480) ~ (all_57_22 = e3)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (7481) op(e3, e1) = all_57_22
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7439), (7480), (7481), (function-axioms) are
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #601.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | (7482) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (6389), (7461), (7482),
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | #592.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | (7483) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7483) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | (7484) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7420), (7484), (function-axioms) are
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #758.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | (7485) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7485) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (7486) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7486) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (7487) op(e1, e1) = e0
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (372), (7487), (function-axioms) are
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1153.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (7488) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7488) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | (7489) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7489) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | (7490) op(e2, e2) = e0
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7258), (7490), (function-axioms) are
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | (7491) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7491) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | (7492) op(e0, e0) = all_57_31
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | (7493) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7493) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (7494) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6389), (7420), (7492), (7494),
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | #636.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (7495) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7495) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7496) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7496) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7497) op(e1, e1) = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (7497), (function-axioms) are
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7498) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7499) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7499) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7500) all_57_26 = e1
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7501) all_57_24 = e0
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7502) ~ (all_57_31 = e1)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7503) ~ (all_57_22 = e3)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7504) op(e0, e1) = e0
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7505) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7505) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7506) all_56_0 = e2 & op(e3, e3) = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7506) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7507) op(e3, e3) = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7420), (7507), (function-axioms) are
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7508) all_56_1 = e2 & op(e3, e2) = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7508) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7509) all_56_1 = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7466) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7510) all_54_1 = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7449), (7510) imply:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7511) all_38_0 = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7511) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7512) all_38_0 = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7452), (7512) imply:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7513) ~ (all_52_7 = e2)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7453), (7512) imply:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7514) ~ (e3 = e2)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7515) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7515) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7516) all_56_6 = e2 & op(e1, e3) = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7516) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7517) all_56_6 = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7428), (7517) are inconsistent by sub-proof
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1414.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7518) all_56_7 = e2 & op(e1, e2) = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7518) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7519) all_56_7 = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (225), (226), (7258),
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7509), (7519), (function-axioms) are inconsistent
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #589.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7520) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7520) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7521) all_56_8 = e2 & op(e1, e1) = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7521) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7522) op(e1, e1) = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (7522), (function-axioms) are
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7523) all_56_11 = e2 & op(e1, e0) = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7523) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7524) all_56_11 = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7525) op(e1, e0) = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7526) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7526) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7527) all_56_9 = e1 & op(e3, e0) = e1
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7527) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7528) all_56_9 = e1
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7460), (7528) are inconsistent by sub-proof
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #880.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7529) all_56_10 = e1 & op(e2, e0) = e1
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7529) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7530) all_56_10 = e1
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7531) op(e2, e0) = e1
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7532) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7532) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7533) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7534) (all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7535) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7535) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7536) all_56_12 = e2 & op(e0, e3) = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7536) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7537) op(e0, e3) = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6389), (7534), (7537), (function-axioms) are
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #588.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7538) all_56_13 = e2 & op(e0, e2) = e2
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (7513), (7538), (function-axioms) are
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1259.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7539) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (6389), (7504), (7539),
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #587.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7540) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7540) implies:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7541) op(e2, e0) = all_57_27
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7542) op(e2, e1) = all_57_23
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7543) op(e2, all_57_27) = e0
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (165), (193), (250), (6388), (7504),
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7531), (7541), (7542), (7543), (function-axioms)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #628.
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7544) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7544) gives:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7545) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7545) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7546) (all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7500), (7503), (7546) are inconsistent by
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #675.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7547) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7547) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7548) op(e0, all_57_24) = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7501), (7548) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7549) op(e0, e0) = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (206), (212), (7524),
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7530), (7549), (function-axioms) are inconsistent
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1432.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7550) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7492), (7502), (7525), (7550),
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #627.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7551) all_54_1 = e1 | all_54_1 = e0
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7441), (7449), (7454), (7551) are inconsistent by
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #755.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7552) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7434), (7435), (7439), (7552),
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #634.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7553) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7553) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7554) op(e2, e2) = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7258), (7554), (function-axioms) are
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7555) all_56_2 = e1 & op(e2, e3) = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | ALPHA: (7555) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7556) op(e2, e3) = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (7415), (7556), (function-axioms) are
% 159.71/23.41 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1149.
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | (7557) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 159.71/23.41 | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 159.71/23.41 | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | BETA: splitting (7557) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7558) all_56_6 = e1 & op(e1, e3) = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | ALPHA: (7558) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7559) op(e1, e3) = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7416), (7559), (function-axioms) are
% 159.71/23.41 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7560) all_56_12 = e1 & op(e0, e3) = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | ALPHA: (7560) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7561) all_56_12 = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (229), (233),
% 159.71/23.41 | | | | | | | | | | | | | | | | | (235), (7420), (7561), (function-axioms) are
% 159.71/23.41 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #585.
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | (7562) ~ (all_38_1 = e1) & op(e3, e3) = all_38_1 &
% 159.71/23.41 | | | | | | | | | | | | | | | $i(all_38_1)
% 159.71/23.41 | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | ALPHA: (7562) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | (7563) ~ (all_38_1 = e1)
% 159.71/23.41 | | | | | | | | | | | | | | | (7564) op(e3, e3) = all_38_1
% 159.71/23.41 | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | REF_CLOSE: (7420), (7563), (7564), (function-axioms) are
% 159.71/23.41 | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 159.71/23.41 | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | (7565) all_56_9 = e3 & op(e3, e0) = e3
% 159.71/23.41 | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | ALPHA: (7565) implies:
% 159.71/23.41 | | | | | | | | | | | | | | (7566) op(e3, e0) = e3
% 159.71/23.41 | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | REF_CLOSE: (168), (6386), (7566), (function-axioms) are
% 159.71/23.41 | | | | | | | | | | | | | | inconsistent by sub-proof #1284.
% 159.71/23.41 | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | (7567) ~ (all_10_1 = e1) & op(e3, e3) = all_10_1 &
% 159.71/23.41 | | | | | | | | | | | | $i(all_10_1)
% 159.71/23.41 | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | REF_CLOSE: (7420), (7567), (function-axioms) are inconsistent
% 159.71/23.41 | | | | | | | | | | | | by sub-proof #611.
% 159.71/23.41 | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | (7568) all_56_12 = e3 & op(e0, e3) = e3
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | REF_CLOSE: (159), (6383), (7568), (function-axioms) are
% 159.71/23.41 | | | | | | | | | | inconsistent by sub-proof #595.
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | End of split
% 159.71/23.41 | | | | | | | | |
% 159.71/23.41 | | | | | | | | End of split
% 159.71/23.41 | | | | | | | |
% 159.71/23.41 | | | | | | | End of split
% 159.71/23.41 | | | | | | |
% 159.71/23.41 | | | | | | End of split
% 159.71/23.41 | | | | | |
% 159.71/23.41 | | | | | Case 2:
% 159.71/23.41 | | | | | |
% 159.71/23.41 | | | | | | (7569) all_14_2 = e2
% 159.71/23.41 | | | | | | (7570) ( ~ (all_14_0 = e1) & op(e2, e3) = all_14_0 &
% 159.71/23.41 | | | | | | $i(all_14_0)) | ( ~ (all_14_1 = e0) & op(e2, e2) =
% 159.71/23.41 | | | | | | all_14_1 & $i(all_14_1))
% 159.71/23.41 | | | | | |
% 159.71/23.41 | | | | | | REDUCE: (337), (7569) imply:
% 159.71/23.41 | | | | | | (7571) ~ (all_52_1 = e2)
% 159.71/23.41 | | | | | |
% 159.71/23.41 | | | | | | REDUCE: (339), (7569) imply:
% 159.71/23.41 | | | | | | (7572) ~ (all_52_2 = e2)
% 159.71/23.41 | | | | | |
% 159.71/23.41 | | | | | | REDUCE: (341), (7569) imply:
% 159.71/23.41 | | | | | | (7573) ~ (all_52_3 = e2)
% 159.71/23.41 | | | | | |
% 159.71/23.41 | | | | | | REDUCE: (343), (7569) imply:
% 159.71/23.41 | | | | | | (7574) ~ (all_52_4 = e2)
% 159.71/23.41 | | | | | |
% 159.71/23.41 | | | | | | REDUCE: (345), (7569) imply:
% 159.71/23.41 | | | | | | (7575) ~ (all_52_8 = e2)
% 159.71/23.41 | | | | | |
% 159.71/23.41 | | | | | | REDUCE: (347), (7569) imply:
% 159.71/23.41 | | | | | | (7576) ~ (all_52_12 = e2)
% 159.71/23.41 | | | | | |
% 159.71/23.41 | | | | | | BETA: splitting (234) gives:
% 159.71/23.41 | | | | | |
% 159.71/23.41 | | | | | | Case 1:
% 159.71/23.41 | | | | | | |
% 159.71/23.41 | | | | | | | (7577) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2 &
% 159.71/23.41 | | | | | | | op(e3, e2) = e2)
% 159.71/23.41 | | | | | | |
% 159.71/23.41 | | | | | | | BETA: splitting (7577) gives:
% 159.71/23.41 | | | | | | |
% 159.71/23.41 | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | |
% 159.71/23.41 | | | | | | | | (7578) all_56_0 = e2 & op(e3, e3) = e2
% 159.71/23.41 | | | | | | | |
% 159.71/23.41 | | | | | | | | ALPHA: (7578) implies:
% 159.71/23.41 | | | | | | | | (7579) all_56_0 = e2
% 159.71/23.41 | | | | | | | | (7580) op(e3, e3) = e2
% 159.71/23.41 | | | | | | | |
% 159.71/23.41 | | | | | | | | BETA: splitting (67) gives:
% 159.71/23.41 | | | | | | | |
% 159.71/23.41 | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | |
% 159.71/23.41 | | | | | | | | | (7581) ~ (all_24_2 = e3)
% 159.71/23.41 | | | | | | | | |
% 159.71/23.41 | | | | | | | | | REDUCE: (6382), (7581) imply:
% 159.71/23.41 | | | | | | | | | (7582) $false
% 159.71/23.41 | | | | | | | | |
% 159.71/23.41 | | | | | | | | | CLOSE: (7582) is inconsistent.
% 159.71/23.41 | | | | | | | | |
% 159.71/23.41 | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | |
% 159.71/23.41 | | | | | | | | | (7583) ( ~ (all_24_0 = e1) & op(e3, e0) = all_24_0 &
% 159.71/23.41 | | | | | | | | | $i(all_24_0)) | ( ~ (all_24_1 = e2) & op(e3, e3) =
% 159.71/23.41 | | | | | | | | | all_24_1 & $i(all_24_1))
% 159.71/23.41 | | | | | | | | |
% 159.71/23.41 | | | | | | | | | BETA: splitting (7583) gives:
% 159.71/23.41 | | | | | | | | |
% 159.71/23.41 | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | (7584) ~ (all_24_0 = e1) & op(e3, e0) = all_24_0 &
% 159.71/23.41 | | | | | | | | | | $i(all_24_0)
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | ALPHA: (7584) implies:
% 159.71/23.41 | | | | | | | | | | (7585) ~ (all_24_0 = e1)
% 159.71/23.41 | | | | | | | | | | (7586) op(e3, e0) = all_24_0
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 159.71/23.41 | | | | | | | | | | all_24_0, e0, e3, simplifying with (168), (7586)
% 159.71/23.41 | | | | | | | | | | gives:
% 159.71/23.41 | | | | | | | | | | (7587) all_52_12 = all_24_0
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | COMBINE_EQS: (270), (7587) imply:
% 159.71/23.41 | | | | | | | | | | (7588) all_54_3 = all_24_0
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | REDUCE: (133), (7587) imply:
% 159.71/23.41 | | | | | | | | | | (7589) ~ (all_52_4 = all_24_0)
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | REDUCE: (120), (7587) imply:
% 159.71/23.41 | | | | | | | | | | (7590) ~ (all_52_8 = all_24_0)
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | REDUCE: (113), (7587) imply:
% 159.71/23.41 | | | | | | | | | | (7591) ~ (all_52_13 = all_24_0)
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | SIMP: (7591) implies:
% 159.71/23.41 | | | | | | | | | | (7592) ~ (all_52_13 = all_24_0)
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | REDUCE: (112), (7587) imply:
% 159.71/23.41 | | | | | | | | | | (7593) ~ (all_52_14 = all_24_0)
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | SIMP: (7593) implies:
% 159.71/23.41 | | | | | | | | | | (7594) ~ (all_52_14 = all_24_0)
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | REDUCE: (6386), (7587) imply:
% 159.71/23.41 | | | | | | | | | | (7595) ~ (all_24_0 = e3)
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | REDUCE: (7576), (7587) imply:
% 159.71/23.41 | | | | | | | | | | (7596) ~ (all_24_0 = e2)
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | BETA: splitting (201) gives:
% 159.71/23.41 | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | (7597) all_54_3 = e3
% 159.71/23.41 | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | REF_CLOSE: (7588), (7595), (7597) are inconsistent by
% 159.71/23.41 | | | | | | | | | | | sub-proof #584.
% 159.71/23.41 | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | (7598) ~ (all_54_3 = e3)
% 159.71/23.41 | | | | | | | | | | | (7599) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 159.71/23.41 | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | BETA: splitting (7599) gives:
% 159.71/23.41 | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | (7600) all_54_3 = e2
% 159.71/23.41 | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | REF_CLOSE: (7588), (7596), (7600) are inconsistent by
% 159.71/23.41 | | | | | | | | | | | | sub-proof #583.
% 159.71/23.41 | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | (7601) ~ (all_54_3 = e2)
% 159.71/23.41 | | | | | | | | | | | | (7602) all_54_3 = e1 | all_54_3 = e0
% 159.71/23.41 | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | BETA: splitting (7602) gives:
% 159.71/23.41 | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | (7603) all_54_3 = e1
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | REF_CLOSE: (7585), (7588), (7603) are inconsistent by
% 159.71/23.41 | | | | | | | | | | | | | sub-proof #582.
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | (7604) all_54_3 = e0
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | COMBINE_EQS: (7588), (7604) imply:
% 159.71/23.41 | | | | | | | | | | | | | (7605) all_24_0 = e0
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | SIMP: (7605) implies:
% 159.71/23.41 | | | | | | | | | | | | | (7606) all_24_0 = e0
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | REDUCE: (7589), (7606) imply:
% 159.71/23.41 | | | | | | | | | | | | | (7607) ~ (all_52_4 = e0)
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | REDUCE: (7590), (7606) imply:
% 159.71/23.41 | | | | | | | | | | | | | (7608) ~ (all_52_8 = e0)
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | REDUCE: (7592), (7606) imply:
% 159.71/23.41 | | | | | | | | | | | | | (7609) ~ (all_52_13 = e0)
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | REDUCE: (7594), (7606) imply:
% 159.71/23.41 | | | | | | | | | | | | | (7610) ~ (all_52_14 = e0)
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | REDUCE: (7595), (7606) imply:
% 159.71/23.41 | | | | | | | | | | | | | (7611) ~ (e3 = e0)
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | REDUCE: (7596), (7606) imply:
% 159.71/23.41 | | | | | | | | | | | | | (7612) ~ (e2 = e0)
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | REDUCE: (7585), (7606) imply:
% 159.71/23.41 | | | | | | | | | | | | | (7613) ~ (e1 = e0)
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | REDUCE: (7586), (7606) imply:
% 159.71/23.41 | | | | | | | | | | | | | (7614) op(e3, e0) = e0
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | BETA: splitting (55) gives:
% 159.71/23.41 | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | (7615) ~ (all_16_2 = e3)
% 159.71/23.41 | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | REDUCE: (328), (7615) imply:
% 159.71/23.41 | | | | | | | | | | | | | | (7616) ~ (all_6_2 = e3)
% 159.71/23.41 | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 159.71/23.41 | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | (7617) ~ (all_20_2 = e0)
% 159.71/23.41 | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | REDUCE: (283), (7617) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | (7618) ~ (all_6_2 = e0)
% 159.71/23.41 | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 159.71/23.41 | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | (7619) all_54_5 = e3
% 159.71/23.41 | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | REF_CLOSE: (268), (7616), (7619) are inconsistent by
% 159.71/23.41 | | | | | | | | | | | | | | | | sub-proof #658.
% 159.71/23.41 | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | (7620) ~ (all_54_5 = e3)
% 159.71/23.41 | | | | | | | | | | | | | | | | (7621) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 159.71/23.41 | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | BETA: splitting (7621) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7622) all_54_5 = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (7622) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7623) all_6_2 = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | SIMP: (7623) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7624) all_6_2 = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | REDUCE: (353), (7624) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7625) ~ (all_52_6 = e2)
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | REDUCE: (355), (7624) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7626) ~ (all_52_7 = e2)
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | REDUCE: (357), (7624) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7627) ~ (all_52_9 = e2)
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | REDUCE: (359), (7624) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7628) ~ (all_52_13 = e2)
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | REDUCE: (7616), (7624) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7629) ~ (e3 = e2)
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | REDUCE: (39), (7624) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | (7630) op(e2, e2) = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | (7631) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 159.71/23.41 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 159.71/23.41 | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (7573), (7626), (7631),
% 159.71/23.41 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.41 | | | | | | | | | | | | | | | | | | #1211.
% 159.71/23.41 | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | (7632) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 159.71/23.41 | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 159.71/23.41 | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | BETA: splitting (7632) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | (7633) all_56_14 = e2 & op(e0, e1) = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | ALPHA: (7633) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | (7634) op(e0, e1) = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | (7635) all_54_7 = e3
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (7635) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | (7636) all_52_13 = e3
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | REDUCE: (6387), (7636) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | (7637) $false
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | CLOSE: (7637) is inconsistent.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | (7638) ~ (all_54_7 = e3)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | (7639) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7639) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | (7640) all_54_7 = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (7640) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | (7641) all_52_13 = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7628), (7641) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | (7642) $false
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | CLOSE: (7642) is inconsistent.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | (7643) ~ (all_54_7 = e2)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | (7644) all_54_7 = e1 | all_54_7 = e0
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | (7645) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7645) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | (7646) all_56_4 = e0 & op(e3, e1) = e0
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7646) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | (7647) op(e3, e1) = e0
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7608), (7647), (function-axioms) are
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1053.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | (7648) all_56_5 = e0 & op(e2, e1) = e0
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7648) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | (7649) all_56_5 = e0
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | (7650) op(e2, e1) = e0
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | (7651) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (7572), (7625), (7651),
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | #752.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | (7652) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7652) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | (7653) all_56_8 = e2 & op(e1, e1) = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7653) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | (7654) op(e1, e1) = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (7654), (function-axioms) are
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | (7655) all_56_11 = e2 & op(e1, e0) = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7655) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | (7656) all_56_11 = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | (7657) op(e1, e0) = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (7658) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7658) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7659) all_56_2 = e3 & op(e2, e3) = e3
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7659) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7660) all_56_2 = e3
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7661) op(e2, e3) = e3
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7644) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7662) all_54_7 = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (7662) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7663) all_52_13 = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7663) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7664) all_52_13 = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (7664) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7665) ~ (all_52_1 = e1)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (7664) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7666) ~ (all_52_9 = e1)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (7664) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7667) ~ (all_52_14 = e1)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7667) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7668) ~ (all_52_14 = e1)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7628), (7664) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7669) ~ (e2 = e1)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7670) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (7630), (7665), (7670),
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1148.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7671) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7671) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7672) all_56_5 = e1 & op(e2, e1) = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (7666), (7672), (function-axioms) are
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1348.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7673) all_56_10 = e1 & op(e2, e0) = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7673) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7674) all_56_10 = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (7634) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7675) all_52_11 = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (7650) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7676) all_52_9 = e0
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (7661) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7677) all_52_1 = e3
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (7677) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7678) ~ (all_52_2 = e3)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7678) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7679) ~ (all_52_2 = e3)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (7677) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7680) ~ (all_52_3 = e3)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (7676) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7681) ~ (all_4_2 = e0)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (7675) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7682) ~ (all_4_2 = e2)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7683) ~ (all_32_2 = e3)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (7683) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7684) ~ (all_4_2 = e3)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7685) all_54_10 = e3
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (7684), (7685) are inconsistent by
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1479.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7686) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7686) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7687) all_54_10 = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (7687) are inconsistent by sub-proof
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1478.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7688) all_54_10 = e1 | all_54_10 = e0
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7688) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7689) all_54_10 = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (7689) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7690) all_4_2 = e1
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (7690) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7691) ~ (all_52_2 = e1)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (7690) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7692) ~ (all_52_8 = e1)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7693) all_54_8 = e3
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7679), (7693) are inconsistent by
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1388.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7694) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7694) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7695) all_54_8 = e2
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7572), (7695) are inconsistent by
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #722.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7696) all_54_8 = e1 | all_54_8 = e0
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7697) all_54_2 = e3
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (7697) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7698) all_52_8 = e3
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7698) implies:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7699) all_52_8 = e3
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (7699) imply:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7700) ~ (all_52_4 = e3)
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7701) all_54_1 = e3
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (7700), (7701) are inconsistent by
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1252.
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7702) ~ (all_54_1 = e3)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7703) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7703) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7704) all_54_1 = e2
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (7574), (7704) are inconsistent by
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1251.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7705) all_54_1 = e1 | all_54_1 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7705) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7706) all_54_1 = e1
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (7706) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7707) all_52_4 = e1
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7707) implies:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7708) all_52_4 = e1
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (7708) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7709) ~ (all_52_7 = e1)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7709) implies:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7710) ~ (all_52_7 = e1)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7700), (7708) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7711) ~ (e3 = e1)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (7708) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7712) op(e3, e2) = e1
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7713) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (169), (7571), (7575), (7580), (7712),
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7713), (function-axioms) are inconsistent by
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #738.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7714) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7714) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7715) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7715) implies:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7716) op(e1, e0) = all_57_29
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7717) op(e1, all_57_29) = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7696) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7718) all_54_8 = e1
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7691), (7718) are inconsistent by
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1238.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7719) all_54_8 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7719) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7720) all_52_2 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7720) implies:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7721) all_52_2 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (7721) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7722) ~ (all_52_3 = e0)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7722) implies:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7723) ~ (all_52_3 = e0)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7724) all_54_12 = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (6383), (7724) are inconsistent by
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #864.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7725) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7725) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7726) all_54_12 = e2
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (7573), (7726) are inconsistent by
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1361.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7727) all_54_12 = e1 | all_54_12 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7727) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29, e0, e1, simplifying with (7657), (7716)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7728) all_57_29 = e2
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7717), (7728) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7729) op(e1, e2) = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (162), (259), (7691), (7696), (7729),
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #807.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7730) all_54_12 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (7723), (7730) are inconsistent by
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1359.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7731) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7731) implies:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7732) op(e0, e0) = all_57_31
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7733) op(e0, all_57_31) = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7734) all_54_13 = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (7734) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7735) all_52_7 = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6384), (7735) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736) $false
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7736) is inconsistent.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7737) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7737) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7738) all_54_13 = e2
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (7738) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7739) all_52_7 = e2
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7626), (7739) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7740) $false
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7740) is inconsistent.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7741) all_54_13 = e1 | all_54_13 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7696) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7742) all_54_8 = e1
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (7691), (7742) are inconsistent by
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1238.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7743) all_54_8 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (7743) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7744) all_52_2 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7744) implies:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7745) all_52_2 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (7745) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7746) ~ (all_52_3 = e0)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7746) implies:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7747) ~ (all_52_3 = e0)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (248), (6389), (7710), (7732), (7733),
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7741), (7747), (function-axioms) are inconsistent
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #581.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7748) all_54_1 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (7607), (7748) are inconsistent by
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #887.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7749) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (7575), (7608), (7692), (7749) are
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #814.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7750) all_54_10 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (7750) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7751) all_4_2 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (7751) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7752) $false
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7752) is inconsistent.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7753) all_32_2 = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (7753) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7754) all_4_2 = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (7754) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7755) ~ (all_52_8 = e3)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (7754) imply:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7756) op(e1, e1) = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7757) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7757) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7758) all_56_0 = e3 & op(e3, e3) = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7579), (7758) are inconsistent by sub-proof
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1039.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7759) all_56_1 = e3 & op(e3, e2) = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7759) implies:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7760) op(e3, e2) = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7761) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7761) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7762) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7762) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7763) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (7571), (7763), (function-axioms) are
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #651.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7764) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7756), (7764), (function-axioms) are inconsistent
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #650.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7765) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7765) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7766) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (167), (168),
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (221), (222), (223), (6386), (6388),
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7571), (7630), (7660), (7661), (7756), (7766),
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #648.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7767) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7767) gives:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7768) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7768) implies:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7769) ~ (all_57_19 = e3)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7770) op(e3, e2) = all_57_19
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (7760), (7769), (7770), (function-axioms)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #735.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7771) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (167), (168),
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (221), (222), (223), (6386), (6388),
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7571), (7630), (7660), (7661), (7771),
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #647.
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7772) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 159.71/23.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7772) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7773) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7773) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7774) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7774) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7775) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7775) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7776) op(e0, e0) = e1
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (212), (7614), (7656), (7674),
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7776), (function-axioms) are inconsistent by
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1436.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7777) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7777) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7778) op(e3, e3) = e1
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7580), (7778), (function-axioms) are
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7779) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7779) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7780) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7780) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7781) op(e0, e0) = e1
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (212), (7614), (7656), (7674),
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7781), (function-axioms) are inconsistent by
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1436.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7782) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7614), (7782), (function-axioms) are
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #593.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7783) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7783) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7784) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (7628), (7668), (7784),
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1337.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7785) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7785) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7786) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7786) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7787) op(e2, e0) = e2
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7628), (7787), (function-axioms) are
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7788) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7788) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7789) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7789) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7790) op(e2, e2) = e0
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7630), (7790), (function-axioms) are
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7791) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7791) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7792) op(e0, e0) = all_57_31
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7793) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7793) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7794) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7794) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7795) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7795) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7796) ~ (all_57_31 = e3)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6389), (7792), (7796), (function-axioms) are
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1231.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7797) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7797) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7798) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7798) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7799) ~ (all_57_31 = e3)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6389), (7792), (7799), (function-axioms) are
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1231.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7800) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7800) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7801) ~ (all_57_19 = e3)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7802) op(e3, e2) = all_57_19
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (7760), (7801), (7802), (function-axioms)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #735.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7803) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7580), (7630), (7756), (7803),
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1144.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7804) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7804) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7805) all_56_4 = e3 & op(e3, e1) = e3
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7805) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7806) op(e3, e1) = e3
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7755), (7806), (function-axioms) are
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7807) all_56_9 = e3 & op(e3, e0) = e3
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7807) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7808) op(e3, e0) = e3
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7614), (7808), (function-axioms) are
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1441.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7809) all_54_7 = e0
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (7609), (7809) are inconsistent by
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1351.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7810) all_56_3 = e3 & op(e2, e2) = e3
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7810) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7811) op(e2, e2) = e3
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7630), (7811), (function-axioms) are
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | (7812) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7812) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7813) all_56_5 = e3 & op(e2, e1) = e3
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7813) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7814) all_56_5 = e3
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7649), (7814) are inconsistent by sub-proof
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1316.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7815) all_56_10 = e3 & op(e2, e0) = e3
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7815) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7816) op(e2, e0) = e3
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6387), (7816), (function-axioms) are
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #795.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | (7817) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7817) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | (7818) all_56_8 = e0 & op(e1, e1) = e0
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7818) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | (7819) op(e1, e1) = e0
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (372), (7819), (function-axioms) are
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1153.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | (7820) all_56_14 = e0 & op(e0, e1) = e0
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7820) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | (7821) op(e0, e1) = e0
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7634), (7821), (function-axioms) are
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1315.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | (7822) all_56_15 = e2 & op(e0, e0) = e2
% 159.71/23.43 | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | ALPHA: (7822) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | (7823) op(e0, e0) = e2
% 159.71/23.43 | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6389), (7823), (function-axioms) are
% 159.71/23.43 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1173.
% 159.71/23.43 | | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | (7824) all_54_5 = e1 | all_54_5 = e0
% 159.71/23.43 | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (7618), (7824) are inconsistent by
% 159.71/23.43 | | | | | | | | | | | | | | | | | sub-proof #1084.
% 159.71/23.43 | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | End of split
% 159.71/23.43 | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | (7825) all_20_2 = e0
% 159.71/23.43 | | | | | | | | | | | | | | | (7826) ( ~ (all_20_0 = e3) & op(e0, e2) = all_20_0 &
% 159.71/23.43 | | | | | | | | | | | | | | | $i(all_20_0)) | ( ~ (all_20_1 = e1) & op(e0, e0)
% 159.71/23.43 | | | | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 159.71/23.43 | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | COMBINE_EQS: (283), (7825) imply:
% 159.71/23.43 | | | | | | | | | | | | | | | (7827) all_6_2 = e0
% 159.71/23.43 | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | SIMP: (7827) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | (7828) all_6_2 = e0
% 159.71/23.43 | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | COMBINE_EQS: (331), (7828) imply:
% 159.71/23.43 | | | | | | | | | | | | | | | (7829) all_26_2 = e0
% 159.71/23.43 | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | REDUCE: (353), (7828) imply:
% 159.71/23.43 | | | | | | | | | | | | | | | (7830) ~ (all_52_6 = e0)
% 159.71/23.43 | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | REDUCE: (355), (7828) imply:
% 159.71/23.43 | | | | | | | | | | | | | | | (7831) ~ (all_52_7 = e0)
% 159.71/23.43 | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | REDUCE: (357), (7828) imply:
% 159.71/23.43 | | | | | | | | | | | | | | | (7832) ~ (all_52_9 = e0)
% 159.71/23.43 | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | REDUCE: (39), (7828) imply:
% 159.71/23.43 | | | | | | | | | | | | | | | (7833) op(e2, e2) = e0
% 159.71/23.43 | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 159.71/23.43 | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | (7834) ~ (all_26_2 = e0)
% 159.71/23.43 | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | REDUCE: (7829), (7834) imply:
% 159.71/23.43 | | | | | | | | | | | | | | | | (7835) $false
% 159.71/23.43 | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | CLOSE: (7835) is inconsistent.
% 159.71/23.43 | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | Case 2:
% 159.71/23.43 | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | (7836) ( ~ (all_26_0 = e1) & op(e0, e2) = all_26_0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | $i(all_26_0)) | ( ~ (all_26_1 = e3) & op(e0, e0)
% 159.71/23.43 | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 159.71/23.43 | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | BETA: splitting (7836) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | (7837) ~ (all_26_0 = e1) & op(e0, e2) = all_26_0 &
% 159.71/23.43 | | | | | | | | | | | | | | | | | $i(all_26_0)
% 159.71/23.43 | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | ALPHA: (7837) implies:
% 159.71/23.43 | | | | | | | | | | | | | | | | | (7838) ~ (all_26_0 = e1)
% 159.71/23.43 | | | | | | | | | | | | | | | | | (7839) op(e0, e2) = all_26_0
% 159.71/23.43 | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 159.71/23.43 | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.43 | | | | | | | | | | | | | | | | | |
% 159.71/23.43 | | | | | | | | | | | | | | | | | | (7840) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 159.71/23.43 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 159.71/23.43 | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (7608), (7832), (7840),
% 159.71/23.44 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.44 | | | | | | | | | | | | | | | | | | #1052.
% 159.71/23.44 | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.44 | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | (7841) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 159.71/23.44 | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 159.71/23.44 | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | BETA: splitting (7841) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | (7842) all_56_8 = e0 & op(e1, e1) = e0
% 159.71/23.44 | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | ALPHA: (7842) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | (7843) op(e1, e1) = e0
% 159.71/23.44 | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (372), (7843), (function-axioms) are
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1153.
% 159.71/23.44 | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | (7844) all_56_14 = e0 & op(e0, e1) = e0
% 159.71/23.44 | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | ALPHA: (7844) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | (7845) op(e0, e1) = e0
% 159.71/23.44 | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | (7846) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (7846) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | (7847) all_56_6 = e0 & op(e1, e3) = e0
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | ALPHA: (7847) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | (7848) all_56_6 = e0
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | (7849) op(e1, e3) = e0
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | (7850) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7850) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | (7851) all_56_12 = e2 & op(e0, e3) = e2
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7851) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | (7852) op(e0, e3) = e2
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7573), (7852), (function-axioms) are
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | (7853) all_56_13 = e2 & op(e0, e2) = e2
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7853) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | (7854) all_56_13 = e2
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | (7855) op(e0, e2) = e2
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | (7856) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7856) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (7857) all_56_0 = e3 & op(e3, e3) = e3
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7579), (7857) are inconsistent by sub-proof
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | #1039.
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (7858) all_56_2 = e3 & op(e2, e3) = e3
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7858) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | (7859) op(e2, e3) = e3
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (7860) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7860) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7861) all_56_0 = e1 & op(e3, e3) = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7861) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7862) op(e3, e3) = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (165), (167),
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (207), (217), (222), (223), (224), (229),
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (372), (6381), (6389),
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7574), (7832), (7833), (7838), (7839), (7862),
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | #607.
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7863) all_56_2 = e1 & op(e2, e3) = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7863) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7864) op(e2, e3) = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7859), (7864), (function-axioms) are
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1460.
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (7865) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7865) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7866) all_56_6 = e1 & op(e1, e3) = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7848), (7866) are inconsistent by sub-proof
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | #978.
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7867) all_56_12 = e1 & op(e0, e3) = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7867) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7868) all_56_12 = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7869) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7869) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7870) all_56_4 = e2 & op(e3, e1) = e2
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7870) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7871) op(e3, e1) = e2
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7575), (7871), (function-axioms) are
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7872) all_56_5 = e2 & op(e2, e1) = e2
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7872) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7873) all_56_5 = e2
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7874) all_56_15 = e0 & op(e0, e0) = e0
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7874) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7875) op(e0, e0) = e0
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6389), (7875), (function-axioms) are
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1216.
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7876) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7876) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7877) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7878) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7878) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7879) all_56_2 = e1 & op(e2, e3) = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7879) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7880) all_56_2 = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7881) op(e2, e3) = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (229), (235), (7579),
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580), (7868), (7880), (7881), (function-axioms)
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1034.
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7882) all_56_3 = e1 & op(e2, e2) = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7882) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7883) op(e2, e2) = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7833), (7883), (function-axioms) are
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7884) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7884) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7885) all_56_5 = e1 & op(e2, e1) = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7873), (7885) are inconsistent by sub-proof
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #988.
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7886) all_56_10 = e1 & op(e2, e0) = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7886) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7887) all_56_10 = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7888) op(e2, e0) = e1
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7570) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7889) ~ (all_14_0 = e1) & op(e2, e3) = all_14_0 &
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_0)
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7889) implies:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7890) ~ (all_14_0 = e1)
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7891) op(e2, e3) = all_14_0
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7892) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 159.71/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (7576), (7888), (7892),
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #580.
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7893) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7893) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7894) all_56_11 = e2 & op(e1, e0) = e2
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7894) implies:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7895) all_56_11 = e2
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7896) op(e1, e0) = e2
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (7845) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7897) all_52_11 = e0
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (7855) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7898) all_52_7 = e2
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_0, e2, e0, simplifying with (158), (7839)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7899) all_52_7 = all_26_0
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (7896) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7900) all_52_14 = e2
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (7849) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7901) all_52_2 = e0
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (7888) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7902) all_52_13 = e1
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (7859) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7903) all_52_1 = e3
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_14_0, e3, e2, simplifying with (167), (7891)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7904) all_52_1 = all_14_0
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7903), (7904) imply:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7905) all_14_0 = e3
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7905) implies:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7906) all_14_0 = e3
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7898), (7899) imply:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7907) all_26_0 = e2
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (7900) imply:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7908) ~ (all_4_2 = e2)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6388), (7900) imply:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7909) ~ (e3 = e2)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7910) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7910) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7911) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7911) implies:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7912) op(e3, all_57_26) = e3
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7913) (all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7914) (all_57_17 = e1 & op(e1, e3) = e1) | ( ~
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7915) (all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7914) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7916) all_57_17 = e1 & op(e1, e3) = e1
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7916) implies:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7917) op(e1, e3) = e1
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7913) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7918) all_57_18 = e0 & op(e0, e3) = e0
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7918) implies:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7919) op(e0, e3) = e0
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7920) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7920) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7921) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7921) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7922) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7922) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7923) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7923) implies:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7924) ~ (all_57_17 = e1)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7925) op(e1, e3) = all_57_17
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7917), (7924), (7925), (function-axioms) are
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1232.
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7926) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7926) implies:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7927) all_57_31 = e3
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7928) ~ (all_57_18 = e0)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7913), (7927), (7928) are inconsistent by
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #976.
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7929) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7929) gives:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7930) all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7930) implies:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7931) ~ (all_57_30 = e3)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7932) op(e1, e1) = all_57_30
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (157),
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (167), (170), (206), (207), (209), (222),
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (231), (233), (235), (238),
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (375), (6385), (6389), (7580), (7826),
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7831), (7833), (7848), (7854), (7855), (7859),
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7868), (7877), (7887), (7888), (7895), (7896),
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7912), (7913), (7915), (7931), (7932),
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #563.
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7933) all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18 &
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_30)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7933) implies:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7934) all_57_31 = e3
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7935) ~ (all_57_18 = e0)
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7913), (7934), (7935) are inconsistent by
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #976.
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7936) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (167),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (207), (209), (222), (223), (224),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (231), (375), (7580), (7831), (7833),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7854), (7859), (7912), (7936), (function-axioms)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #572.
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7937) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7937) gives:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7938) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (209), (233),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (6385), (7826), (7848), (7868), (7877),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7887), (7895), (7919), (7938), (function-axioms)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #569.
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7939) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7939) gives:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7940) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7940) gives:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7941) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7941) implies:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7942) op(e2, e0) = e2
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7888), (7942), (function-axioms) are
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #903.
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7943) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7943) implies:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7944) op(e1, e0) = e1
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (7917), (7944),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1222.
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7945) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7945) gives:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7946) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7946) implies:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7947) op(e2, e0) = e2
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7888), (7947), (function-axioms) are
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #903.
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7948) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7948) gives:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7949) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7949) implies:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7950) op(e1, e0) = e1
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (160), (163), (7917), (7950),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1222.
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7951) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7951) implies:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7952) op(e0, e0) = all_57_31
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7953) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (233),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (373), (6389), (7580), (7831), (7833),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7848), (7855), (7868), (7952), (7953),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #562.
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7954) ~ (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7954) implies:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7955) ~ (all_57_31 = e3)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7956) op(e0, e0) = all_57_31
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6389), (7955), (7956), (function-axioms) are
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1231.
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7957) ~ (all_57_30 = e3) & op(e1, e1) = all_57_30 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7957) implies:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7958) ~ (all_57_30 = e3)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7959) op(e1, e1) = all_57_30
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (39), (157),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (167), (170), (206), (207), (209), (222),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (231), (233), (235), (238),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (373), (375), (6385), (6389), (7580), (7826),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7831), (7833), (7848), (7854), (7855), (7859),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7868), (7877), (7887), (7888), (7895), (7896),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7912), (7913), (7915), (7958), (7959),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #563.
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7960) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7960) implies:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7961) op(e2, e0) = all_57_27
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7962) op(e2, e1) = all_57_23
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7963) op(e2, all_57_27) = e0
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (157), (165), (193), (250), (6388), (7845),
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7888), (7961), (7962), (7963), (function-axioms)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #628.
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7964) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7964) gives:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7965) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7965) implies:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7966) op(e1, e0) = all_57_29
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7967) op(e1, e3) = all_57_17
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7968) op(e1, all_57_20) = e2
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7969) op(e1, all_57_17) = e3
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7970) (all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7971) (all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7972) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7972) gives:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7973) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7973) gives:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7974) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (7571), (7974), (function-axioms) are
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #651.
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7975) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7833), (7969), (7975), (function-axioms) are
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #561.
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7976) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7976) gives:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7977) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (158), (167),
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (207), (209), (222), (223), (224), (229),
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (375), (7580), (7831), (7833), (7854),
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859), (7977), (function-axioms) are inconsistent
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #574.
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7978) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7978) gives:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7979) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7979) implies:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7980) all_57_20 = e1
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7981) ~ (all_57_30 = e2)
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7982) op(e1, e1) = all_57_30
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7968), (7980) imply:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7983) op(e1, e1) = e2
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7981), (7982), (7983), (function-axioms) are
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1397.
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7984) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (167), (206),
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (222), (223), (224), (229), (231),
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580), (7831), (7833), (7854), (7859), (7984),
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #573.
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7985) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7985) gives:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7986) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7986) gives:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7987) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7970), (7971), (7987), (function-axioms) are
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #661.
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7988) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7988) gives:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7989) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7989) implies:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7990) ~ (all_57_24 = e0)
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7991) op(e0, e0) = e1
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7970), (7990), (7991), (function-axioms) are
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1344.
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7992) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7992) gives:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7993) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7993) implies:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7994) op(e3, e0) = e3
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (168), (192), (249), (6383), (7573),
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7849), (7966), (7967), (7969), (7994),
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #725.
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7995) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7995) implies:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7996) op(e3, e0) = e3
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (168), (192), (249), (6383), (7573),
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7849), (7966), (7967), (7969), (7996),
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #725.
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7997) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7997) gives:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7998) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7888), (7896), (7998), (function-axioms) are
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #568.
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7999) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7999) gives:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8000) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8000) implies:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8001) op(e2, e0) = e2
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7888), (8001), (function-axioms) are
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #903.
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8002) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8002) gives:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8003) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8003) implies:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8004) op(e1, e0) = e1
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7896), (8004), (function-axioms) are
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1219.
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8005) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8005) implies:
% 159.99/23.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8006) op(e0, e0) = all_57_31
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8007) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (233),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (373), (6389), (7580), (7831), (7833),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7848), (7855), (7868), (8006), (8007),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #562.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8008) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8008) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8009) (all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7833), (7888), (8009), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #901.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8010) all_56_15 = e2 & op(e0, e0) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8010) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8011) op(e0, e0) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (167), (206),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (222), (223), (224), (229), (231),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580), (7831), (7833), (7854), (7859), (8011),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #575.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8012) ~ (all_14_1 = e0) & op(e2, e2) = all_14_1 &
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8012) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8013) ~ (all_14_1 = e0)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8014) op(e2, e2) = all_14_1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7833), (8013), (8014), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #692.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8015) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (375), (7845), (8015),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #560.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | (8016) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8016) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8017) all_56_6 = e3 & op(e1, e3) = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8017) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8018) all_56_6 = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7848), (8018) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | #1308.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8019) all_56_12 = e3 & op(e0, e3) = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6383), (8019), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #595.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | (8020) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (6389), (7845), (8020),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | #587.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | (8021) all_56_7 = e0 & op(e1, e2) = e0
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8021) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | (8022) op(e1, e2) = e0
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (7830), (8022), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1050.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | (8023) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8023) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | (8024) all_56_8 = e0 & op(e1, e1) = e0
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8024) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | (8025) op(e1, e1) = e0
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (372), (8025), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1153.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | (8026) all_56_11 = e0 & op(e1, e0) = e0
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8026) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | (8027) all_56_11 = e0
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | (8028) op(e1, e0) = e0
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | (8029) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_5 = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8029) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | (8030) all_56_4 = e2 & op(e3, e1) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8030) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | (8031) op(e3, e1) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7575), (8031), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | (8032) all_56_5 = e2 & op(e2, e1) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8032) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | (8033) all_56_5 = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | (8034) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8034) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8035) all_56_12 = e2 & op(e0, e3) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8035) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8036) op(e0, e3) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7573), (8036), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8037) all_56_13 = e2 & op(e0, e2) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8037) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8038) all_56_13 = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (8039) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8039) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8040) all_56_2 = e3 & op(e2, e3) = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8040) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8041) op(e2, e3) = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8042) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8042) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8043) all_56_9 = e1 & op(e3, e0) = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8043) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8044) op(e3, e0) = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7614), (8044), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #559.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8045) all_56_10 = e1 & op(e2, e0) = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8045) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8046) op(e2, e0) = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8047) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (168), (7576), (8046), (8047),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #580.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8048) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8048) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8049) all_56_11 = e2 & op(e1, e0) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8027), (8049) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1245.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8050) all_56_15 = e2 & op(e0, e0) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8050) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8051) op(e0, e0) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (167), (206),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (222), (223), (224), (229), (231),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580), (7831), (7833), (8038), (8041), (8051),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #575.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8052) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (6389), (8028), (8052),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #558.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8053) all_56_3 = e3 & op(e2, e2) = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8053) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8054) op(e2, e2) = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7833), (8054), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (8055) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8055) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8056) all_56_5 = e3 & op(e2, e1) = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8056) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8057) all_56_5 = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8033), (8057) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | #910.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8058) all_56_10 = e3 & op(e2, e0) = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8058) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8059) op(e2, e0) = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6387), (8059), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #795.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | (8060) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (6389), (7845), (8060),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | #587.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | (8061) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_14 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (36), (375), (7845), (8061),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | #560.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | (8062) ~ (all_26_1 = e3) & op(e0, e0) = all_26_1 &
% 159.99/23.47 | | | | | | | | | | | | | | | | | $i(all_26_1)
% 159.99/23.47 | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | ALPHA: (8062) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | (8063) ~ (all_26_1 = e3)
% 159.99/23.47 | | | | | | | | | | | | | | | | | (8064) op(e0, e0) = all_26_1
% 159.99/23.47 | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | REF_CLOSE: (6389), (8063), (8064), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #859.
% 159.99/23.47 | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | (8065) all_16_2 = e3
% 159.99/23.47 | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | COMBINE_EQS: (328), (8065) imply:
% 159.99/23.47 | | | | | | | | | | | | | | (8066) all_6_2 = e3
% 159.99/23.47 | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | REDUCE: (348), (8066) imply:
% 159.99/23.47 | | | | | | | | | | | | | | (8067) ~ (all_52_1 = e3)
% 159.99/23.47 | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | REDUCE: (351), (8066) imply:
% 159.99/23.47 | | | | | | | | | | | | | | (8068) ~ (all_52_4 = e3)
% 159.99/23.47 | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | REDUCE: (39), (8066) imply:
% 159.99/23.47 | | | | | | | | | | | | | | (8069) op(e2, e2) = e3
% 159.99/23.47 | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 159.99/23.47 | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | (8070) all_54_1 = e3
% 159.99/23.47 | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | COMBINE_EQS: (272), (8070) imply:
% 159.99/23.47 | | | | | | | | | | | | | | | (8071) all_52_4 = e3
% 159.99/23.47 | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | REDUCE: (8068), (8071) imply:
% 159.99/23.47 | | | | | | | | | | | | | | | (8072) $false
% 159.99/23.47 | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | CLOSE: (8072) is inconsistent.
% 159.99/23.47 | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | (8073) ~ (all_54_1 = e3)
% 159.99/23.47 | | | | | | | | | | | | | | | (8074) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 159.99/23.47 | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | BETA: splitting (8074) gives:
% 159.99/23.47 | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | (8075) all_54_1 = e2
% 159.99/23.47 | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (8075) imply:
% 159.99/23.47 | | | | | | | | | | | | | | | | (8076) all_52_4 = e2
% 159.99/23.47 | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | REDUCE: (7574), (8076) imply:
% 159.99/23.47 | | | | | | | | | | | | | | | | (8077) $false
% 159.99/23.47 | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | CLOSE: (8077) is inconsistent.
% 159.99/23.47 | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | (8078) ~ (all_54_1 = e2)
% 159.99/23.47 | | | | | | | | | | | | | | | | (8079) all_54_1 = e1 | all_54_1 = e0
% 159.99/23.47 | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | (8080) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 159.99/23.47 | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | BETA: splitting (8080) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | (8081) all_56_0 = e3 & op(e3, e3) = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7579), (8081) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | #1039.
% 159.99/23.47 | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | (8082) all_56_2 = e3 & op(e2, e3) = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | ALPHA: (8082) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | (8083) op(e2, e3) = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (8067), (8083), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #597.
% 159.99/23.47 | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | (8084) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 159.99/23.47 | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | BETA: splitting (8084) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | (8085) all_56_6 = e3 & op(e1, e3) = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | ALPHA: (8085) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | (8086) all_56_6 = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | (8087) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (8087) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | (8088) all_56_6 = e0 & op(e1, e3) = e0
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8086), (8088) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | #1036.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | (8089) all_56_7 = e0 & op(e1, e2) = e0
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | ALPHA: (8089) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | (8090) all_56_7 = e0
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | (8091) op(e1, e2) = e0
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | (8092) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (7579), (8068), (8092),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | #672.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | (8093) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8093) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | (8094) all_56_4 = e3 & op(e3, e1) = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8094) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | (8095) all_56_4 = e3
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | (8096) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (7574), (8069), (8096),
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | #557.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | (8097) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8097) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | (8098) all_56_7 = e2 & op(e1, e2) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8098) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | (8099) all_56_7 = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8090), (8099) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | #842.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | (8100) all_56_13 = e2 & op(e0, e2) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8100) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | (8101) op(e0, e2) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | (8102) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8102) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (8103) all_56_0 = e1 & op(e3, e3) = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8103) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (8104) op(e3, e3) = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7580), (8104), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (8105) all_56_1 = e1 & op(e3, e2) = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8105) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (8106) all_56_1 = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8107) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8107) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8108) all_56_6 = e2 & op(e1, e3) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8108) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8109) op(e1, e3) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7572), (8109), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8110) all_56_7 = e2 & op(e1, e2) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8110) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8111) all_56_7 = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8090), (8111) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #842.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8112) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8112) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8113) all_56_8 = e2 & op(e1, e1) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8113) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8114) op(e1, e1) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (8114), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8115) all_56_11 = e2 & op(e1, e0) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8115) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8116) all_56_11 = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8117) op(e1, e0) = e2
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8118) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8118) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8119) all_56_9 = e1 & op(e3, e0) = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8119) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8120) op(e3, e0) = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7614), (8120), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #559.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8121) all_56_10 = e1 & op(e2, e0) = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8121) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8122) all_56_10 = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8123) op(e2, e0) = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8124) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8124) gives:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8125) all_56_6 = e1 & op(e1, e3) = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8125) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8126) all_56_6 = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8086), (8126) are inconsistent by sub-proof
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #720.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8127) all_56_7 = e1 & op(e1, e2) = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8127) implies:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8128) op(e1, e2) = e1
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8091), (8128), (function-axioms) are
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1110.
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8129) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8129) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8130) all_56_8 = e1 & op(e1, e1) = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8130) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8131) all_56_8 = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8132) op(e1, e1) = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8079) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8133) all_54_1 = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (8133) imply:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8134) all_52_4 = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8134) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8135) all_52_4 = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8135) imply:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8136) ~ (all_52_8 = e1)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8136) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8137) ~ (all_52_8 = e1)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8068), (8135) imply:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8138) ~ (e3 = e1)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7574), (8135) imply:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8139) ~ (e2 = e1)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8140) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (7571), (8069), (8140),
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #556.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8141) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8141) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8142) all_56_5 = e2 & op(e2, e1) = e2
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8142) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8143) all_56_5 = e2
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8144) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8144) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8145) all_56_12 = e1 & op(e0, e3) = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8145) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8146) all_56_12 = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8147) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8147) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8148) all_56_0 = e0 & op(e3, e3) = e0
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8148) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8149) op(e3, e3) = e0
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7580), (8149), (function-axioms) are
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1228.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8150) all_56_2 = e0 & op(e2, e3) = e0
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8150) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8151) all_56_2 = e0
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8152) op(e2, e3) = e0
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8153) all_54_2 = e3
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (8153) imply:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8154) all_52_8 = e3
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (8154) imply:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8155) ~ (all_4_2 = e3)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8155) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8156) ~ (all_4_2 = e3)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (8154) imply:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8157) op(e3, e1) = e3
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8158) all_54_10 = e3
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (8156), (8158) are inconsistent by
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1479.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8159) ~ (all_54_10 = e3)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8160) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8160) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8161) all_54_10 = e2
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (375), (8161) are inconsistent by sub-proof
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1478.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8162) ~ (all_54_10 = e2)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8163) all_54_10 = e1 | all_54_10 = e0
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8163) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8164) all_54_10 = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (8164) imply:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8165) all_4_2 = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8165) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8166) all_4_2 = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (8166) imply:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8167) ~ (all_52_2 = e1)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (8166) imply:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8168) ~ (all_52_14 = e1)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8169) all_56_15 = e0 & op(e0, e0) = e0
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8169) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8170) op(e0, e0) = e0
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8171) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (7614), (8122), (8171),
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1440.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8172) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8172) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8173) all_56_11 = e3 & op(e1, e0) = e3
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8116), (8173) are inconsistent by sub-proof
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1439.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8174) all_56_15 = e3 & op(e0, e0) = e3
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6389), (8170), (function-axioms) are
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1216.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8175) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8175) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8176) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8177) all_54_11 = e3
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (6388), (8177) are inconsistent by
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1371.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8178) ~ (all_54_11 = e3)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8179) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8179) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8180) all_54_11 = e2
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (8180) imply:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8181) all_52_14 = e2
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8181) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8182) all_52_14 = e2
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (8182) imply:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8183) ~ (all_52_13 = e2)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6388), (8182) imply:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8184) ~ (e3 = e2)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8185) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8185) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8186) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8186) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8187) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8187) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8188) all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e3 & $i(all_57_17) & $i(all_57_28)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8188) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8189) op(e1, e1) = e3
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8132), (8189), (function-axioms) are
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1477.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8190) all_57_16 = e2 & all_57_31 = e3 & ~ (all_57_18 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e0, e3) = all_57_18 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_28)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8190) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8191) op(e2, e3) = e2
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (8152), (8191), (function-axioms) are
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1278.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8192) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8167), (8192), (function-axioms) are
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #657.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8193) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8193) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8194) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (36), (375), (6389), (8194),
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #656.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8195) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8195) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8196) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8196) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8197) op(e1, e2) = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8091), (8197), (function-axioms) are
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1110.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8198) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (6389), (8069), (8198),
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #605.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8199) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8199) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8200) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8200) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8201) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8201) gives:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8202) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8202) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8203) op(e0, e0) = e1
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (212), (8116), (8122),
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8176), (8203), (function-axioms) are inconsistent
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1433.
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8204) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8204) implies:
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8205) ~ (all_57_22 = e3)
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8206) op(e3, e1) = all_57_22
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8157), (8205), (8206), (function-axioms) are
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #601.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8207) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8207) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8208) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8208) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8209) op(e0, e0) = e1
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (212), (8116), (8122),
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8176), (8209), (function-axioms) are inconsistent
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1433.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8210) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8116), (8122), (8176), (8210),
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #570.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8211) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8211) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8212) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (8168), (8183), (8212),
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1337.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8213) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8213) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8214) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8214) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8215) op(e2, e0) = e2
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8183), (8215), (function-axioms) are
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8216) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8216) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8217) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8217) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8218) op(e2, e2) = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (222), (223),
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8151), (8152), (8218), (function-axioms)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #908.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8219) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8219) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8220) op(e0, e0) = all_57_31
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8221) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8221) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8222) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8222) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8223) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8223) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8224) ~ (all_57_31 = e3)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6389), (8220), (8224), (function-axioms) are
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1231.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8225) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8225) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8226) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8226) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8227) op(e1, e1) = e3
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8132), (8227), (function-axioms) are
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1477.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8228) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8228) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8229) op(e0, e2) = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8101), (8229), (function-axioms) are
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #819.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8230) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8230) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8231) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8231) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8232) op(e1, e1) = e2
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (373), (6389), (7580),
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8101), (8220), (8221), (8232), (function-axioms)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #565.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8233) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8069), (8157), (8233), (function-axioms) are
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #600.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8234) all_54_11 = e1 | all_54_11 = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (7610), (8168), (8234) are inconsistent by
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #890.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8235) all_54_10 = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (372), (8235) are inconsistent by sub-proof
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1332.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8236) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (7575), (7608), (8137), (8236) are
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #814.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8237) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8237) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8238) all_56_6 = e0 & op(e1, e3) = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8238) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8239) all_56_6 = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8086), (8239) are inconsistent by sub-proof
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1308.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8240) all_56_12 = e0 & op(e0, e3) = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8240) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8241) all_56_12 = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8146), (8241) imply:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8242) e1 = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8242) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8243) e1 = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8106), (8243) imply:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8244) all_56_1 = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (232), (7580), (7614), (8095),
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8244), (function-axioms) are inconsistent by
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #555.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8245) all_56_13 = e1 & op(e0, e2) = e1
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8245) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8246) all_56_13 = e1
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8247) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (7574), (8069), (8247),
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #557.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8097) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8248) all_56_7 = e2 & op(e1, e2) = e2
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8248) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8249) all_56_7 = e2
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8250) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8250) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8251) all_56_1 = e0 & op(e3, e2) = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8106), (8251) are inconsistent by sub-proof
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #742.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8252) all_56_3 = e0 & op(e2, e2) = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8252) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8253) op(e2, e2) = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (170), (227), (228),
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7574), (8068), (8246), (8253), (function-axioms)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #622.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8254) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8254) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8089), (8249) are inconsistent by sub-proof
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #848.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8255) all_56_13 = e0 & op(e0, e2) = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8255) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8256) all_56_13 = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8246), (8256) are inconsistent by sub-proof
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #554.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8100), (8246) are inconsistent by sub-proof
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #825.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8257) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8257) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8258) all_56_14 = e1 & op(e0, e1) = e1
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8258) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8259) all_56_14 = e1
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (217), (220), (8131),
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8132), (8143), (8259), (function-axioms) are
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #785.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8260) all_56_15 = e1 & op(e0, e0) = e1
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8260) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8261) op(e0, e0) = e1
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (212), (7614), (8116), (8122),
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8261), (function-axioms) are inconsistent by
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1436.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8262) all_56_10 = e2 & op(e2, e0) = e2
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8262) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8263) op(e2, e0) = e2
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8123), (8263), (function-axioms) are
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #903.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8264) all_54_1 = e0
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (7607), (8264) are inconsistent by
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #887.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8265) all_56_11 = e1 & op(e1, e0) = e1
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8265) implies:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8266) op(e1, e0) = e1
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8117), (8266), (function-axioms) are
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1219.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8267) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (6389), (8117), (8267),
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #553.
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | (8268) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8268) gives:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 159.99/23.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (8269) all_56_4 = e1 & op(e3, e1) = e1
% 159.99/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8095), (8269) are inconsistent by sub-proof
% 159.99/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | #552.
% 159.99/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 159.99/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (8270) all_56_9 = e1 & op(e3, e0) = e1
% 159.99/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 159.99/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8270) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | (8271) op(e3, e0) = e1
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7614), (8271), (function-axioms) are
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #559.
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | (8272) all_56_9 = e3 & op(e3, e0) = e3
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8272) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | (8273) op(e3, e0) = e3
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7614), (8273), (function-axioms) are
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1441.
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | (8274) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.23/23.50 | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (8274) gives:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | (8275) all_56_8 = e0 & op(e1, e1) = e0
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | ALPHA: (8275) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | (8276) op(e1, e1) = e0
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (372), (8276), (function-axioms) are
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1153.
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | (8277) all_56_11 = e0 & op(e1, e0) = e0
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | ALPHA: (8277) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | (8278) all_56_11 = e0
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8079) gives:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | (8279) all_54_1 = e1
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (8279) imply:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | (8280) all_52_4 = e1
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8280) imply:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | (8281) ~ (all_52_8 = e1)
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | SIMP: (8281) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | (8282) ~ (all_52_8 = e1)
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | (8283) all_54_2 = e3
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (8283) imply:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | (8284) all_52_8 = e3
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8284) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | (8285) all_52_8 = e3
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (362), (8285) imply:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | (8286) ~ (all_4_2 = e3)
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8286) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | (8287) ~ (all_4_2 = e3)
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | (8288) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8288) gives:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (8289) all_56_6 = e2 & op(e1, e3) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8289) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (8290) op(e1, e3) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7572), (8290), (function-axioms) are
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (8291) all_56_7 = e2 & op(e1, e2) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8291) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (8292) op(e1, e2) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | (8293) all_54_10 = e3
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (335), (8287), (8293) are inconsistent by
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1479.
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | (8294) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (162), (193), (250), (335), (367), (372),
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | (375), (6388), (7610), (8292), (8294),
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | | #551.
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | (8295) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 =
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8295) gives:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (8296) all_56_8 = e2 & op(e1, e1) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8296) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (8297) op(e1, e1) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (375), (8297), (function-axioms) are
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1472.
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (8298) all_56_11 = e2 & op(e1, e0) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8298) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | (8299) all_56_11 = e2
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8278), (8299) are inconsistent by sub-proof
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | | #1396.
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | (8300) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (7575), (7608), (8282), (8300) are
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #814.
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | (8301) all_54_1 = e0
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (8301) imply:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | (8302) all_52_4 = e0
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | REDUCE: (7607), (8302) imply:
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | (8303) $false
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | | CLOSE: (8303) is inconsistent.
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | (8304) all_56_12 = e3 & op(e0, e3) = e3
% 160.23/23.50 | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6383), (8304), (function-axioms) are
% 160.23/23.50 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #595.
% 160.23/23.50 | | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | (8305) ~ (all_24_1 = e2) & op(e3, e3) = all_24_1 &
% 160.23/23.50 | | | | | | | | | | $i(all_24_1)
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | ALPHA: (8305) implies:
% 160.23/23.50 | | | | | | | | | | (8306) ~ (all_24_1 = e2)
% 160.23/23.50 | | | | | | | | | | (8307) op(e3, e3) = all_24_1
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | REF_CLOSE: (7580), (8306), (8307), (function-axioms) are
% 160.23/23.50 | | | | | | | | | | inconsistent by sub-proof #550.
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | |
% 160.23/23.50 | | | | | | | | End of split
% 160.23/23.50 | | | | | | | |
% 160.23/23.50 | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | |
% 160.23/23.50 | | | | | | | | (8308) all_56_1 = e2 & op(e3, e2) = e2
% 160.23/23.50 | | | | | | | |
% 160.23/23.50 | | | | | | | | ALPHA: (8308) implies:
% 160.23/23.50 | | | | | | | | (8309) op(e3, e2) = e2
% 160.23/23.50 | | | | | | | |
% 160.23/23.50 | | | | | | | | REF_CLOSE: (170), (7574), (8309), (function-axioms) are
% 160.23/23.50 | | | | | | | | inconsistent by sub-proof #1463.
% 160.23/23.50 | | | | | | | |
% 160.23/23.50 | | | | | | | End of split
% 160.23/23.50 | | | | | | |
% 160.23/23.50 | | | | | | Case 2:
% 160.23/23.50 | | | | | | |
% 160.23/23.50 | | | | | | | (8310) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2 &
% 160.23/23.50 | | | | | | | op(e3, e0) = e2)
% 160.23/23.50 | | | | | | |
% 160.23/23.50 | | | | | | | REF_CLOSE: (168), (169), (7575), (7576), (8310), (function-axioms)
% 160.23/23.50 | | | | | | | are inconsistent by sub-proof #756.
% 160.23/23.50 | | | | | | |
% 160.23/23.50 | | | | | | End of split
% 160.23/23.50 | | | | | |
% 160.23/23.50 | | | | | End of split
% 160.23/23.50 | | | | |
% 160.23/23.50 | | | | End of split
% 160.23/23.50 | | | |
% 160.23/23.50 | | | Case 2:
% 160.23/23.50 | | | |
% 160.23/23.50 | | | | (8311) all_8_2 = e2
% 160.23/23.50 | | | | (8312) ( ~ (all_8_0 = e0) & op(e2, e1) = all_8_0 & $i(all_8_0)) | ( ~
% 160.23/23.50 | | | | (all_8_1 = e3) & op(e2, e2) = all_8_1 & $i(all_8_1))
% 160.23/23.50 | | | |
% 160.23/23.50 | | | | COMBINE_EQS: (330), (8311) imply:
% 160.23/23.50 | | | | (8313) all_4_2 = e2
% 160.23/23.50 | | | |
% 160.23/23.50 | | | | SIMP: (8313) implies:
% 160.23/23.50 | | | | (8314) all_4_2 = e2
% 160.23/23.50 | | | |
% 160.23/23.50 | | | | COMBINE_EQS: (299), (8314) imply:
% 160.23/23.50 | | | | (8315) all_48_2 = e2
% 160.23/23.50 | | | |
% 160.23/23.50 | | | | REDUCE: (349), (8314) imply:
% 160.23/23.50 | | | | (8316) ~ (all_52_2 = e2)
% 160.23/23.50 | | | |
% 160.23/23.50 | | | | REDUCE: (360), (8314) imply:
% 160.23/23.50 | | | | (8317) ~ (all_52_6 = e2)
% 160.23/23.50 | | | |
% 160.23/23.50 | | | | REDUCE: (362), (8314) imply:
% 160.23/23.50 | | | | (8318) ~ (all_52_8 = e2)
% 160.23/23.50 | | | |
% 160.23/23.50 | | | | REDUCE: (363), (8314) imply:
% 160.23/23.50 | | | | (8319) ~ (all_52_9 = e2)
% 160.23/23.50 | | | |
% 160.23/23.50 | | | | REDUCE: (365), (8314) imply:
% 160.23/23.50 | | | | (8320) ~ (all_52_11 = e2)
% 160.23/23.50 | | | |
% 160.23/23.50 | | | | REDUCE: (367), (8314) imply:
% 160.23/23.50 | | | | (8321) ~ (all_52_14 = e2)
% 160.23/23.50 | | | |
% 160.23/23.50 | | | | BETA: splitting (215) gives:
% 160.23/23.50 | | | |
% 160.23/23.50 | | | | Case 1:
% 160.23/23.50 | | | | |
% 160.23/23.50 | | | | | (8322) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_7 = e2 & op(e1,
% 160.23/23.50 | | | | | e2) = e2)
% 160.23/23.50 | | | | |
% 160.23/23.50 | | | | | REF_CLOSE: (162), (163), (8316), (8317), (8322), (function-axioms) are
% 160.23/23.50 | | | | | inconsistent by sub-proof #752.
% 160.23/23.50 | | | | |
% 160.23/23.50 | | | | Case 2:
% 160.23/23.50 | | | | |
% 160.23/23.50 | | | | | (8323) (all_56_8 = e2 & op(e1, e1) = e2) | (all_56_11 = e2 & op(e1,
% 160.23/23.50 | | | | | e0) = e2)
% 160.23/23.50 | | | | |
% 160.23/23.50 | | | | | BETA: splitting (8323) gives:
% 160.23/23.50 | | | | |
% 160.23/23.50 | | | | | Case 1:
% 160.23/23.50 | | | | | |
% 160.23/23.50 | | | | | | (8324) all_56_8 = e2 & op(e1, e1) = e2
% 160.23/23.50 | | | | | |
% 160.23/23.50 | | | | | | ALPHA: (8324) implies:
% 160.23/23.50 | | | | | | (8325) all_56_8 = e2
% 160.23/23.50 | | | | | | (8326) op(e1, e1) = e2
% 160.23/23.50 | | | | | |
% 160.23/23.50 | | | | | | BETA: splitting (46) gives:
% 160.23/23.50 | | | | | |
% 160.23/23.50 | | | | | | Case 1:
% 160.23/23.50 | | | | | | |
% 160.23/23.50 | | | | | | | (8327) ~ (all_10_2 = e3)
% 160.23/23.50 | | | | | | |
% 160.23/23.50 | | | | | | | BETA: splitting (52) gives:
% 160.23/23.50 | | | | | | |
% 160.23/23.50 | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | |
% 160.23/23.50 | | | | | | | | (8328) ~ (all_14_2 = e2)
% 160.23/23.50 | | | | | | | |
% 160.23/23.50 | | | | | | | | BETA: splitting (55) gives:
% 160.23/23.50 | | | | | | | |
% 160.23/23.50 | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | |
% 160.23/23.50 | | | | | | | | | (8329) ~ (all_16_2 = e3)
% 160.23/23.50 | | | | | | | | |
% 160.23/23.50 | | | | | | | | | REDUCE: (328), (8329) imply:
% 160.23/23.50 | | | | | | | | | (8330) ~ (all_6_2 = e3)
% 160.23/23.50 | | | | | | | | |
% 160.23/23.50 | | | | | | | | | BETA: splitting (61) gives:
% 160.23/23.50 | | | | | | | | |
% 160.23/23.50 | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | (8331) ~ (all_20_2 = e0)
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | REDUCE: (283), (8331) imply:
% 160.23/23.50 | | | | | | | | | | (8332) ~ (all_6_2 = e0)
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | BETA: splitting (199) gives:
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | (8333) all_54_5 = e3
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | COMBINE_EQS: (268), (8333) imply:
% 160.23/23.50 | | | | | | | | | | | (8334) all_6_2 = e3
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | REDUCE: (8330), (8334) imply:
% 160.23/23.50 | | | | | | | | | | | (8335) $false
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | CLOSE: (8335) is inconsistent.
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | (8336) ~ (all_54_5 = e3)
% 160.23/23.50 | | | | | | | | | | | (8337) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | BETA: splitting (8337) gives:
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | (8338) all_54_5 = e2
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | COMBINE_EQS: (268), (8338) imply:
% 160.23/23.50 | | | | | | | | | | | | (8339) all_6_2 = e2
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | REDUCE: (348), (8339) imply:
% 160.23/23.50 | | | | | | | | | | | | (8340) ~ (all_52_1 = e2)
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | REDUCE: (351), (8339) imply:
% 160.23/23.50 | | | | | | | | | | | | (8341) ~ (all_52_4 = e2)
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | REDUCE: (8330), (8339) imply:
% 160.23/23.50 | | | | | | | | | | | | (8342) ~ (e3 = e2)
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | REDUCE: (39), (8339) imply:
% 160.23/23.50 | | | | | | | | | | | | (8343) op(e2, e2) = e2
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | BETA: splitting (233) gives:
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | (8344) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 160.23/23.50 | | | | | | | | | | | | | & op(e2, e3) = e2)
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | REF_CLOSE: (51), (167), (8328), (8340), (8344),
% 160.23/23.50 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.50 | | | | | | | | | | | | | #1329.
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | (8345) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 160.23/23.50 | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | BETA: splitting (8345) gives:
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | (8346) all_56_6 = e2 & op(e1, e3) = e2
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | ALPHA: (8346) implies:
% 160.23/23.50 | | | | | | | | | | | | | | (8347) op(e1, e3) = e2
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | REF_CLOSE: (163), (8316), (8347), (function-axioms) are
% 160.23/23.50 | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | (8348) all_56_12 = e2 & op(e0, e3) = e2
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | ALPHA: (8348) implies:
% 160.23/23.50 | | | | | | | | | | | | | | (8349) all_56_12 = e2
% 160.23/23.50 | | | | | | | | | | | | | | (8350) op(e0, e3) = e2
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | (8351) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 160.23/23.50 | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 160.23/23.50 | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | BETA: splitting (8351) gives:
% 160.23/23.50 | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | (8352) all_56_0 = e2 & op(e3, e3) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | ALPHA: (8352) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | (8353) op(e3, e3) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2, e2,
% 160.23/23.50 | | | | | | | | | | | | | | | | e3, e3, simplifying with (51), (8353) gives:
% 160.23/23.50 | | | | | | | | | | | | | | | | (8354) all_14_2 = e2
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | REDUCE: (8328), (8354) imply:
% 160.23/23.50 | | | | | | | | | | | | | | | | (8355) $false
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | CLOSE: (8355) is inconsistent.
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | (8356) all_56_1 = e2 & op(e3, e2) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | ALPHA: (8356) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | (8357) op(e3, e2) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 160.23/23.50 | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (8357) gives:
% 160.23/23.50 | | | | | | | | | | | | | | | | (8358) all_52_4 = e2
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | REDUCE: (8341), (8358) imply:
% 160.23/23.50 | | | | | | | | | | | | | | | | (8359) $false
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | CLOSE: (8359) is inconsistent.
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | (8360) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 160.23/23.50 | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 160.23/23.50 | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | BETA: splitting (8360) gives:
% 160.23/23.50 | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | (8361) all_56_4 = e2 & op(e3, e1) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | ALPHA: (8361) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | (8362) op(e3, e1) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 160.23/23.50 | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (8362) gives:
% 160.23/23.50 | | | | | | | | | | | | | | | | (8363) all_52_8 = e2
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | REDUCE: (8318), (8363) imply:
% 160.23/23.50 | | | | | | | | | | | | | | | | (8364) $false
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | CLOSE: (8364) is inconsistent.
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | (8365) all_56_9 = e2 & op(e3, e0) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | ALPHA: (8365) implies:
% 160.23/23.50 | | | | | | | | | | | | | | | | (8366) all_56_9 = e2
% 160.23/23.50 | | | | | | | | | | | | | | | | (8367) op(e3, e0) = e2
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (45), (51), (73), (82),
% 160.23/23.50 | | | | | | | | | | | | | | | | (85), (91), (110), (112), (113), (117), (118),
% 160.23/23.50 | | | | | | | | | | | | | | | | (120), (121), (126), (133), (135), (139), (143),
% 160.23/23.50 | | | | | | | | | | | | | | | | (144), (145), (146), (148), (149), (157), (158),
% 160.23/23.50 | | | | | | | | | | | | | | | | (159), (162), (163), (164), (165), (167), (168),
% 160.23/23.50 | | | | | | | | | | | | | | | | (169), (170), (189), (190), (193), (195), (196),
% 160.23/23.50 | | | | | | | | | | | | | | | | (200), (203), (204), (206), (207), (209), (210),
% 160.23/23.50 | | | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (218), (220),
% 160.23/23.50 | | | | | | | | | | | | | | | | (221), (222), (224), (225), (226), (228), (229),
% 160.23/23.50 | | | | | | | | | | | | | | | | (230), (231), (232), (235), (236), (238), (239),
% 160.23/23.50 | | | | | | | | | | | | | | | | (246), (247), (250), (258), (259), (269), (272),
% 160.23/23.50 | | | | | | | | | | | | | | | | (279), (305), (307), (313), (315), (337), (339),
% 160.23/23.50 | | | | | | | | | | | | | | | | (343), (345), (347), (368), (369), (370), (371),
% 160.23/23.50 | | | | | | | | | | | | | | | | (8312), (8317), (8319), (8325), (8326), (8327),
% 160.23/23.50 | | | | | | | | | | | | | | | | (8343), (8349), (8350), (8366), (8367),
% 160.23/23.50 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.50 | | | | | | | | | | | | | | | | #467.
% 160.23/23.50 | | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | (8368) all_54_5 = e1 | all_54_5 = e0
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | REF_CLOSE: (268), (373), (8332), (8368) are inconsistent by
% 160.23/23.50 | | | | | | | | | | | | sub-proof #1084.
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | End of split
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | (8369) all_20_2 = e0
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | COMBINE_EQS: (283), (8369) imply:
% 160.23/23.50 | | | | | | | | | | (8370) all_6_2 = e0
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | SIMP: (8370) implies:
% 160.23/23.50 | | | | | | | | | | (8371) all_6_2 = e0
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | REDUCE: (348), (8371) imply:
% 160.23/23.50 | | | | | | | | | | (8372) ~ (all_52_1 = e0)
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | REDUCE: (353), (8371) imply:
% 160.23/23.50 | | | | | | | | | | (8373) ~ (all_52_6 = e0)
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | REDUCE: (355), (8371) imply:
% 160.23/23.50 | | | | | | | | | | (8374) ~ (all_52_7 = e0)
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | REDUCE: (357), (8371) imply:
% 160.23/23.50 | | | | | | | | | | (8375) ~ (all_52_9 = e0)
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | REDUCE: (359), (8371) imply:
% 160.23/23.50 | | | | | | | | | | (8376) ~ (all_52_13 = e0)
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | REDUCE: (8330), (8371) imply:
% 160.23/23.50 | | | | | | | | | | (8377) ~ (e3 = e0)
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | REDUCE: (373), (8371) imply:
% 160.23/23.50 | | | | | | | | | | (8378) ~ (e1 = e0)
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | REDUCE: (39), (8371) imply:
% 160.23/23.50 | | | | | | | | | | (8379) op(e2, e2) = e0
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | BETA: splitting (103) gives:
% 160.23/23.50 | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | (8380) ~ (all_48_2 = e2)
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | REDUCE: (8315), (8380) imply:
% 160.23/23.50 | | | | | | | | | | | (8381) $false
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | CLOSE: (8381) is inconsistent.
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | (8382) ( ~ (all_48_0 = e3) & op(e2, e1) = all_48_0 &
% 160.23/23.50 | | | | | | | | | | | $i(all_48_0)) | ( ~ (all_48_1 = e0) & op(e2, e2)
% 160.23/23.50 | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | BETA: splitting (225) gives:
% 160.23/23.50 | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | (8383) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 160.23/23.50 | | | | | | | | | | | | & op(e2, e2) = e0)
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | BETA: splitting (8383) gives:
% 160.23/23.50 | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | (8384) all_56_1 = e0 & op(e3, e2) = e0
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | ALPHA: (8384) implies:
% 160.23/23.50 | | | | | | | | | | | | | (8385) all_56_1 = e0
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 160.23/23.50 | | | | | | | | | | | | | (8379), (8385), (function-axioms) are inconsistent
% 160.23/23.50 | | | | | | | | | | | | | by sub-proof #1007.
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | Case 2:
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | (8386) all_56_3 = e0 & op(e2, e2) = e0
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | ALPHA: (8386) implies:
% 160.23/23.50 | | | | | | | | | | | | | (8387) all_56_3 = e0
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | BETA: splitting (8382) gives:
% 160.23/23.50 | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | Case 1:
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | (8388) ~ (all_48_0 = e3) & op(e2, e1) = all_48_0 &
% 160.23/23.50 | | | | | | | | | | | | | | $i(all_48_0)
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | ALPHA: (8388) implies:
% 160.23/23.50 | | | | | | | | | | | | | | (8389) ~ (all_48_0 = e3)
% 160.23/23.50 | | | | | | | | | | | | | | (8390) op(e2, e1) = all_48_0
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 160.23/23.50 | | | | | | | | | | | | | | all_48_0, e1, e2, simplifying with (165), (8390)
% 160.23/23.50 | | | | | | | | | | | | | | gives:
% 160.23/23.50 | | | | | | | | | | | | | | (8391) all_52_9 = all_48_0
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | COMBINE_EQS: (261), (8391) imply:
% 160.23/23.50 | | | | | | | | | | | | | | (8392) all_54_6 = all_48_0
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | REDUCE: (146), (8391) imply:
% 160.23/23.50 | | | | | | | | | | | | | | (8393) ~ (all_52_1 = all_48_0)
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | REDUCE: (123), (8391) imply:
% 160.23/23.50 | | | | | | | | | | | | | | (8394) ~ (all_52_8 = all_48_0)
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | REDUCE: (118), (8391) imply:
% 160.23/23.50 | | | | | | | | | | | | | | (8395) ~ (all_52_11 = all_48_0)
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | SIMP: (8395) implies:
% 160.23/23.50 | | | | | | | | | | | | | | (8396) ~ (all_52_11 = all_48_0)
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | REDUCE: (117), (8391) imply:
% 160.23/23.50 | | | | | | | | | | | | | | (8397) ~ (all_52_13 = all_48_0)
% 160.23/23.50 | | | | | | | | | | | | | |
% 160.23/23.50 | | | | | | | | | | | | | | SIMP: (8397) implies:
% 160.23/23.51 | | | | | | | | | | | | | | (8398) ~ (all_52_13 = all_48_0)
% 160.23/23.51 | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | REDUCE: (8319), (8391) imply:
% 160.23/23.51 | | | | | | | | | | | | | | (8399) ~ (all_48_0 = e2)
% 160.23/23.51 | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | REDUCE: (8375), (8391) imply:
% 160.23/23.51 | | | | | | | | | | | | | | (8400) ~ (all_48_0 = e0)
% 160.23/23.51 | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 160.23/23.51 | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | (8401) all_54_6 = e3
% 160.23/23.51 | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | COMBINE_EQS: (8392), (8401) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | (8402) all_48_0 = e3
% 160.23/23.51 | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | REDUCE: (8389), (8402) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | (8403) $false
% 160.23/23.51 | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | CLOSE: (8403) is inconsistent.
% 160.23/23.51 | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | (8404) ~ (all_54_6 = e3)
% 160.23/23.51 | | | | | | | | | | | | | | | (8405) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 160.23/23.51 | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | BETA: splitting (8405) gives:
% 160.23/23.51 | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | (8406) all_54_6 = e2
% 160.23/23.51 | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | COMBINE_EQS: (8392), (8406) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | (8407) all_48_0 = e2
% 160.23/23.51 | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | REDUCE: (8399), (8407) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | (8408) $false
% 160.23/23.51 | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | CLOSE: (8408) is inconsistent.
% 160.23/23.51 | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | (8409) ~ (all_54_6 = e2)
% 160.23/23.51 | | | | | | | | | | | | | | | | (8410) all_54_6 = e1 | all_54_6 = e0
% 160.23/23.51 | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | BETA: splitting (8410) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | (8411) all_54_6 = e1
% 160.23/23.51 | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | COMBINE_EQS: (8392), (8411) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | (8412) all_48_0 = e1
% 160.23/23.51 | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | REDUCE: (8393), (8412) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | (8413) ~ (all_52_1 = e1)
% 160.23/23.51 | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | REDUCE: (8394), (8412) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | (8414) ~ (all_52_8 = e1)
% 160.23/23.51 | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | REDUCE: (8396), (8412) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | (8415) ~ (all_52_11 = e1)
% 160.23/23.51 | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | REDUCE: (8398), (8412) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | (8416) ~ (all_52_13 = e1)
% 160.23/23.51 | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | REDUCE: (8389), (8412) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | (8417) ~ (e3 = e1)
% 160.23/23.51 | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | REDUCE: (8399), (8412) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | (8418) ~ (e2 = e1)
% 160.23/23.51 | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | REDUCE: (8390), (8412) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | (8419) op(e2, e1) = e1
% 160.23/23.51 | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | (8420) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 160.23/23.51 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 160.23/23.51 | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | BETA: splitting (8420) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | (8421) all_56_2 = e1 & op(e2, e3) = e1
% 160.23/23.51 | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | ALPHA: (8421) implies:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | (8422) all_56_2 = e1
% 160.23/23.51 | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (165), (223), (224),
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | (8319), (8379), (8419), (8422), (function-axioms)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #466.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | (8423) all_56_3 = e1 & op(e2, e2) = e1
% 160.23/23.51 | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | ALPHA: (8423) implies:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | (8424) op(e2, e2) = e1
% 160.23/23.51 | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8379), (8424), (function-axioms) are
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.51 | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | (8425) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.23/23.51 | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | BETA: splitting (8425) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | (8426) all_56_5 = e1 & op(e2, e1) = e1
% 160.23/23.51 | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | ALPHA: (8426) implies:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | (8427) all_56_5 = e1
% 160.23/23.51 | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | (8428) ~ (all_28_2 = e1)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | REDUCE: (315), (8428) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | (8429) ~ (all_14_2 = e1)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | (8430) ~ (all_30_2 = e2)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (309), (8430) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | (8431) ~ (all_10_2 = e2)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | (8432) ~ (all_34_2 = e0)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (313), (8432) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | (8433) ~ (all_14_2 = e0)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | (8434) all_54_0 = e3
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (8434) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | (8435) all_14_2 = e3
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (337), (8435) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | (8436) ~ (all_52_1 = e3)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (8435) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | (8437) ~ (all_52_4 = e3)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (345), (8435) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | (8438) ~ (all_52_8 = e3)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (8435) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | (8439) op(e3, e3) = e3
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | (8440) all_54_4 = e3
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8440) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | (8441) all_52_1 = e3
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8436), (8441) imply:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | (8442) $false
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8442) is inconsistent.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | (8443) ~ (all_54_4 = e3)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | (8444) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (8445) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8445) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (8446) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8446) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8447) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (8326), (8327), (8447),
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | #549.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8448) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (45), (8327), (8379), (8448),
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | #465.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (8449) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8449) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8450) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (170), (8431), (8437), (8450),
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | #547.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8451) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (51), (169), (8328), (8431), (8438), (8451),
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | #463.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (8452) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8452) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (8453) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8453) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8454) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (169), (8438), (8439), (8454),
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1285.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8455) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8455) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8456) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8456) implies:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8457) op(e2, e1) = e2
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8319), (8457), (function-axioms) are
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8458) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8458) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8459) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8459) implies:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8460) op(e3, e0) = e3
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8461) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8462) all_56_9 = e2 & op(e3, e0) = e2
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8462) implies:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8463) op(e3, e0) = e2
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8460), (8463), (function-axioms) are
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1448.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8464) all_56_10 = e2 & op(e2, e0) = e2
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8464) implies:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8465) op(e2, e0) = e2
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (8372), (8413), (8444),
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8465), (function-axioms) are inconsistent by
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8466) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (162), (213),
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (8325), (8326), (8373), (8431),
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8466), (function-axioms) are inconsistent by
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #458.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8467) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8467) implies:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8468) op(e1, e1) = e0
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (8468), (function-axioms) are
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (8469) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8469) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8470) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8470) gives:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8471) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8471) implies:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8472) op(e2, e0) = e2
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (8372), (8413), (8444),
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8472), (function-axioms) are inconsistent by
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8473) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8473) implies:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8474) op(e3, e3) = e0
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8439), (8474), (function-axioms) are
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1421.
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8475) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8475) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8476) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8476) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8477) op(e2, e0) = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (8372), (8413), (8444),
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8477), (function-axioms) are inconsistent by
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8478) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8478) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8479) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8479) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8480) all_57_29 = e1
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8481) all_57_28 = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8482) all_54_2 = e3
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (8482) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8483) all_52_8 = e3
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8438), (8483) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8484) $false
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8484) is inconsistent.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8485) ~ (all_54_2 = e3)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8486) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8486) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8487) all_54_2 = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (8487) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8488) all_52_8 = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8318), (8488) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8489) $false
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8489) is inconsistent.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8490) ~ (all_54_2 = e2)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8491) all_54_2 = e1 | all_54_2 = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8444) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8492) all_54_4 = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8492) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8493) all_52_1 = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8493) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8494) ~ (all_52_13 = e2)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8494) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8495) ~ (all_52_13 = e2)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8436), (8493) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8496) ~ (e3 = e2)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8491) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8497) all_54_2 = e1
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (8497) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8498) all_52_8 = e1
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8414), (8498) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8499) $false
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8499) is inconsistent.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8500) all_54_2 = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (8500) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8501) all_52_8 = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8501) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8502) ~ (all_52_11 = e0)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8502) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8503) ~ (all_52_11 = e0)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8318), (8501) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8504) ~ (e2 = e0)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8505) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8505) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8506) all_56_9 = e2 & op(e3, e0) = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8506) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8507) all_56_9 = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8508) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8508) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8509) all_56_0 = e1 & op(e3, e3) = e1
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8509) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8510) op(e3, e3) = e1
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8439), (8510), (function-axioms) are
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8511) all_56_1 = e1 & op(e3, e2) = e1
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8511) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8512) op(e3, e2) = e1
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8513) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8513) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8514) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8514) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8515) op(e3, e2) = all_57_19
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8516) op(e3, all_57_19) = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_19, e2, e3, simplifying with (8512), (8515)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8517) all_57_19 = e1
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8516), (8517) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8518) op(e3, e1) = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8318), (8518), (function-axioms) are
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8519) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8519) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8520) op(e2, all_57_28) = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8481), (8520) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8521) op(e2, e0) = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (8372), (8413), (8444),
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8521), (function-axioms) are inconsistent by
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8522) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8522) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8523) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8523) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8524) op(e1, all_57_29) = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8480), (8524) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8525) op(e1, e1) = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (8525), (function-axioms) are
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8526) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8526) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8527) (all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8481), (8495), (8527), (function-axioms)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #724.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8528) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8528) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8529) all_56_4 = e1 & op(e3, e1) = e1
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (157), (217), (8326), (8427), (8503),
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8529), (function-axioms) are inconsistent by
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #457.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8530) all_56_9 = e1 & op(e3, e0) = e1
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8507), (8530) are inconsistent by sub-proof
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1449.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8531) all_56_10 = e2 & op(e2, e0) = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8531) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8532) op(e2, e0) = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (8372), (8413), (8444),
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8532), (function-axioms) are inconsistent by
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8533) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (162), (213),
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (8325), (8326), (8373), (8431),
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8533), (function-axioms) are inconsistent by
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #458.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8534) all_54_4 = e1 | all_54_4 = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8372), (8413), (8534) are inconsistent by
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #899.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8535) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8535) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8536) op(e0, e0) = all_57_31
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8537) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8537) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8538) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (51), (8326), (8328), (8379), (8538),
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1057.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8539) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8539) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8540) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8540) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8541) ~ (all_57_20 = e1)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8542) op(e0, e2) = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8543) op(e1, e2) = all_57_20
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8544) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (145), (164), (165), (200), (223),
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (8319), (8372), (8379), (8413), (8436),
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8544), (function-axioms) are inconsistent by
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8545) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8545) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8546) all_56_5 = e3 & op(e2, e1) = e3
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8546) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8547) op(e2, e1) = e3
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8419), (8547), (function-axioms) are
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8548) all_56_10 = e3 & op(e2, e0) = e3
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8548) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8549) all_56_10 = e3
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8550) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8550) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8551) all_56_2 = e2 & op(e2, e3) = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8551) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8552) all_56_2 = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8553) all_54_2 = e3
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (8438), (8553) are inconsistent by
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1068.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8554) ~ (all_54_2 = e3)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8555) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8555) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8556) all_54_2 = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (8318), (8556) are inconsistent by
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1067.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8557) ~ (all_54_2 = e2)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8558) all_54_2 = e1 | all_54_2 = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8559) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8559) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8560) all_56_9 = e2 & op(e3, e0) = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8560) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8561) all_56_9 = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8562) op(e3, e0) = e2
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8558) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8563) all_54_2 = e1
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (8414), (8563) are inconsistent by
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1066.
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8564) all_54_2 = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (8564) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8565) all_52_8 = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8565) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8566) all_52_8 = e0
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8566) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8567) ~ (all_52_11 = e0)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8567) implies:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8568) ~ (all_52_11 = e0)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8318), (8566) imply:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8569) ~ (e2 = e0)
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8570) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (121), (169), (190), (247), (8320), (8415),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419), (8568), (8570), (function-axioms) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #452.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8571) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8571) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8572) all_56_8 = e3 & op(e1, e1) = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8572) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8573) op(e1, e1) = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8326), (8573), (function-axioms) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8574) all_56_14 = e3 & op(e0, e1) = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8574) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8575) all_56_14 = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8576) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8576) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8577) all_56_0 = e1 & op(e3, e3) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8577) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8578) op(e3, e3) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8439), (8578), (function-axioms) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8579) all_56_1 = e1 & op(e3, e2) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8579) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8580) all_56_1 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8581) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8379), (8580), (8581),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1040.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8582) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8582) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8583) all_56_7 = e2 & op(e1, e2) = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8583) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8584) all_56_7 = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8585) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (8379), (8437), (8585),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #934.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8586) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8586) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8587) all_56_7 = e3 & op(e1, e2) = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8584), (8587) are inconsistent by sub-proof
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #933.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8588) all_56_13 = e3 & op(e0, e2) = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8588) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8589) all_56_13 = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8590) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8590) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8591) all_56_6 = e3 & op(e1, e3) = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8591) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8592) all_56_6 = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8593) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (162), (8373), (8592), (8593),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #624.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8594) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8594) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8595) all_56_8 = e0 & op(e1, e1) = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8595) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8596) op(e1, e1) = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (8596), (function-axioms) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8597) all_56_11 = e0 & op(e1, e0) = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8597) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8598) all_56_11 = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8599) all_56_15 = e0 & op(e0, e0) = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8599) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8600) all_56_15 = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (45), (210), (212),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (8561), (8562), (8598), (8600),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1418.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8601) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8601) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8602) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8603) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (45), (212), (8327), (8561),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8562), (8598), (8603), (function-axioms) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8604) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8604) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8605) all_56_11 = e1 & op(e1, e0) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8605) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8606) all_56_11 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (212), (8327),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8561), (8562), (8602), (8606), (function-axioms)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1422.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8607) all_56_15 = e1 & op(e0, e0) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8607) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8608) all_56_15 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8609) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8609) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8610) all_56_6 = e1 & op(e1, e3) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8610) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8611) all_56_6 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8592), (8611) imply:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8612) e3 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8612) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8613) e3 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8549), (8613) imply:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8614) all_56_10 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (45), (212), (8327), (8562),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8598), (8614), (function-axioms) are inconsistent
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1443.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8615) all_56_7 = e1 & op(e1, e2) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8615) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8616) op(e1, e2) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8541), (8543), (8616), (function-axioms)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #542.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8617) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8617) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8618) all_56_8 = e1 & op(e1, e1) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8325), (8618) are inconsistent by sub-proof
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #520.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8619) all_56_11 = e1 & op(e1, e0) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8619) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8620) all_56_11 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (210),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (8327), (8561), (8562), (8608), (8620),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1191.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8621) all_56_7 = e3 & op(e1, e2) = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8584), (8621) are inconsistent by sub-proof
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #933.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8622) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8622) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8623) all_56_8 = e3 & op(e1, e1) = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8623) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8624) op(e1, e1) = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8326), (8624), (function-axioms) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8625) all_56_11 = e3 & op(e1, e0) = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8625) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8626) all_56_11 = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8627) all_56_15 = e0 & op(e0, e0) = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8627) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8628) all_56_15 = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (210), (8549), (8561), (8626),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8628) are inconsistent by sub-proof #476.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8629) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8629) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8630) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8631) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8630) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8632) all_56_12 = e0 & op(e0, e3) = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8632) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8633) op(e0, e3) = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8634) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8634) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8635) all_56_9 = e1 & op(e3, e0) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8635) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8636) all_56_9 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8561), (8636) are inconsistent by sub-proof
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1220.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8637) all_56_10 = e1 & op(e2, e0) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8637) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8638) all_56_10 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (8387), (8419), (8552),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8638), (function-axioms) are inconsistent by
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #450.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8639) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8639) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8640) all_56_11 = e1 & op(e1, e0) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8640) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8641) all_56_11 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (212), (8327),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8561), (8562), (8631), (8641), (function-axioms)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1422.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8642) all_56_15 = e1 & op(e0, e0) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8642) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8643) op(e0, e0) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8644) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8644) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8645) all_56_12 = e2 & op(e0, e3) = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8645) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8646) op(e0, e3) = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8633), (8646), (function-axioms) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1262.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8647) all_56_13 = e2 & op(e0, e2) = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (51), (8326), (8328), (8379),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8536), (8537), (8643), (8647), (function-axioms)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #447.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8648) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8648) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8649) all_56_14 = e2 & op(e0, e1) = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8649) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8650) all_56_14 = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8575), (8650) are inconsistent by sub-proof
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1402.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8651) all_56_15 = e2 & op(e0, e0) = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8651) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8652) op(e0, e0) = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8431), (8652), (function-axioms) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1471.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8653) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (8568), (8589), (8653),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1260.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8654) all_56_13 = e2 & op(e0, e2) = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8654) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8655) op(e0, e2) = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8542), (8655), (function-axioms) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #819.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8656) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8656) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8657) all_56_4 = e1 & op(e3, e1) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8657) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8658) all_56_4 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8659) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8427), (8658), (8659) are inconsistent by
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1137.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8660) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (157), (8326), (8568), (8660),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #532.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8661) all_56_9 = e1 & op(e3, e0) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8661) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8662) all_56_9 = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8561), (8662) are inconsistent by sub-proof
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1220.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8663) all_56_10 = e2 & op(e2, e0) = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8663) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8664) op(e2, e0) = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (8372), (8413), (8444),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8664), (function-axioms) are inconsistent by
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8665) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (162), (213),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (8325), (8326), (8373), (8431),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8665), (function-axioms) are inconsistent by
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #458.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8666) all_56_3 = e2 & op(e2, e2) = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8666) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8667) op(e2, e2) = e2
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8379), (8667), (function-axioms) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8668) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (165), (269), (8319), (8372),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8413), (8444), (8668), (function-axioms) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #446.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8669) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8669) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8670) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8670) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8671) op(e3, e3) = e1
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8439), (8671), (function-axioms) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8672) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8672) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8673) op(e0, e1) = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (202), (271), (8318), (8414),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8438), (8673), (function-axioms) are inconsistent
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #444.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | (8674) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (8328), (8429), (8433), (8674) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1229.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | (8675) all_34_2 = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (8675) imply:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | (8676) all_14_2 = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8676) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | (8677) all_14_2 = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (339), (8677) imply:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | (8678) ~ (all_52_2 = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (8677) imply:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | (8679) ~ (all_52_4 = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (345), (8677) imply:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | (8680) ~ (all_52_8 = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (8677) imply:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | (8681) ~ (all_52_12 = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8328), (8677) imply:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | (8682) ~ (e2 = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (8677) imply:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | (8683) op(e3, e3) = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | (8684) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8684) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | (8685) all_56_4 = e0 & op(e3, e1) = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (120), (121), (133), (169), (170), (189),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | (190), (201), (202), (232), (234), (236), (246),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | (247), (270), (271), (368), (369), (8318), (8320),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | (8327), (8328), (8414), (8415), (8431), (8680),
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | (8681), (8683), (8685), (function-axioms) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #439.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | (8686) all_56_5 = e0 & op(e2, e1) = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8427), (8686) are inconsistent by sub-proof
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | #1275.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | (8687) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8687) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | (8688) all_56_8 = e0 & op(e1, e1) = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8688) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | (8689) op(e1, e1) = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (8689), (function-axioms) are
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | (8690) all_56_14 = e0 & op(e0, e1) = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8690) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | (8691) all_56_14 = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | (8692) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8692) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (8693) all_56_4 = e3 & op(e3, e1) = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8693) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (8694) all_56_4 = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8695) all_54_2 = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (8695) imply:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8696) all_52_8 = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8696) imply:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8697) ~ (all_52_4 = e3)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8696) imply:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8698) ~ (all_52_11 = e3)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8698) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8699) ~ (all_52_11 = e3)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (8696) imply:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8700) ~ (all_52_12 = e3)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8700) implies:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8701) ~ (all_52_12 = e3)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8702) all_54_14 = e3
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8699), (8702) are inconsistent by
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1390.
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8703) ~ (all_54_14 = e3)
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8704) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 160.23/23.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8704) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8705) all_54_14 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8320), (8705) are inconsistent by
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1091.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8706) ~ (all_54_14 = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8707) all_54_14 = e1 | all_54_14 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8707) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8708) all_54_14 = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8415), (8708) are inconsistent by
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1090.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8709) all_54_14 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (8709) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8710) all_52_11 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8710) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8711) all_52_11 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (8711) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8712) ~ (all_52_3 = e0)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (8711) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8713) ~ (all_10_2 = e0)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8713) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8714) ~ (all_10_2 = e0)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8715) all_56_15 = e0 & op(e0, e0) = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8715) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8716) all_56_15 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8717) all_54_15 = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8327), (8717) are inconsistent by
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8718) ~ (all_54_15 = e3)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8719) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8719) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8720) all_54_15 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8431), (8720) are inconsistent by
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8721) ~ (all_54_15 = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8722) all_54_15 = e1 | all_54_15 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8723) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8723) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8724) all_56_6 = e0 & op(e1, e3) = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8724) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8725) all_56_6 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8722) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8726) all_54_15 = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (8726) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8727) all_10_2 = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (8727) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8728) ~ (all_52_12 = e1)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8729) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8729) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8730) all_56_9 = e1 & op(e3, e0) = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8730) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8731) all_56_9 = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (133), (169), (170), (201), (234), (270),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318), (8328), (8681), (8701), (8728), (8731),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1061.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8732) all_56_10 = e1 & op(e2, e0) = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8732) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8733) all_56_10 = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (165), (223), (224),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319), (8379), (8387), (8419), (8733),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #437.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8734) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8734) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8735) all_56_11 = e1 & op(e1, e0) = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8735) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8736) all_56_11 = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8737) all_54_3 = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8701), (8737) are inconsistent by
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1249.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8738) ~ (all_54_3 = e3)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8739) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8739) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8740) all_54_3 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (8740) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8741) all_52_12 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8741) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8742) all_52_12 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (8742) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8743) ~ (all_52_4 = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (8742) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8744) ~ (all_52_13 = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8744) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8745) ~ (all_52_13 = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8746) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8746) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8747) all_56_2 = e2 & op(e2, e3) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8747) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8748) all_56_2 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8749) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8749) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8750) all_56_9 = e2 & op(e3, e0) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8750) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8751) all_56_9 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8752) op(e3, e0) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8753) all_54_7 = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (8753) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8754) all_52_13 = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8754) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8755) all_52_13 = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8755) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8756) ~ (all_52_1 = e3)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8757) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (145), (164), (165), (200), (223),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (8319), (8372), (8379), (8413), (8756),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8757), (function-axioms) are inconsistent by
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8758) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8758) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8759) all_56_5 = e3 & op(e2, e1) = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8759) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8760) op(e2, e1) = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8419), (8760), (function-axioms) are
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8761) all_56_10 = e3 & op(e2, e0) = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8761) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8762) all_56_10 = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8763) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8763) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8764) all_56_12 = e1 & op(e0, e3) = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8764) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8765) all_56_12 = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8766) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8766) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8767) all_56_12 = e2 & op(e0, e3) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8767) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8768) all_56_12 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (231), (235), (8683),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8725), (8768), (function-axioms) are inconsistent
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #535.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8769) all_56_13 = e2 & op(e0, e2) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8769) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8770) all_56_13 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (45), (209), (224),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (236), (8327), (8387), (8419), (8683),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8691), (8694), (8748), (8751), (8752), (8762),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8765), (8770), (function-axioms) are inconsistent
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #436.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8771) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8771) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8772) all_56_14 = e2 & op(e0, e1) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8772) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8773) all_56_14 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8691), (8773) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8774) e2 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8774) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8775) e2 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8751), (8775) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8776) all_56_9 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8777) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8777) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8778) all_56_0 = e2 & op(e3, e3) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8778) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8779) op(e3, e3) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (8779), (function-axioms) are
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8749) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8750), (8776) are inconsistent by sub-proof
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #884.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8780) all_56_10 = e2 & op(e2, e0) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8780) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8781) op(e2, e0) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (164), (270), (8681), (8728), (8739),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8781), (function-axioms) are inconsistent by
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1247.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8782) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8782) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8783) all_56_11 = e2 & op(e1, e0) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8783) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8784) all_56_11 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8785) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8785) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8786) all_56_9 = e3 & op(e3, e0) = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8786) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8787) op(e3, e0) = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (270), (8681), (8701), (8728), (8739),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8787), (function-axioms) are inconsistent by
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #961.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8739) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8701), (8742) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8788) ~ (e3 = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8789) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (170), (8328), (8743), (8789),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1462.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8790) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8790) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8791) all_56_4 = e2 & op(e3, e1) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8791) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8792) op(e3, e1) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8318), (8792), (function-axioms) are
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8775), (8784) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8793) all_56_11 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (169),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (208), (209), (214), (216), (224), (227),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (236), (8318), (8325), (8326),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (8328), (8379), (8387), (8419), (8431),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8683), (8691), (8694), (8743), (8748), (8751),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8752), (8762), (8765), (8793), (function-axioms)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #435.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8794) all_54_3 = e1 | all_54_3 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8681), (8728), (8794) are inconsistent by
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1248.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8795) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8795) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8796) all_56_11 = e3 & op(e1, e0) = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8784), (8796) are inconsistent by sub-proof
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1439.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797) all_56_15 = e3 & op(e0, e0) = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8797) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8798) op(e0, e0) = e3
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (8798), (function-axioms) are
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799) all_56_15 = e2 & op(e0, e0) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8799) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8800) op(e0, e0) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8431), (8800), (function-axioms) are
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1471.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8801) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8801) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8802) all_56_6 = e2 & op(e1, e3) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8802) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8803) op(e1, e3) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8316), (8803), (function-axioms) are
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8804) all_56_12 = e2 & op(e0, e3) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8804) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8805) all_56_12 = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (231), (235), (8683),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8725), (8805), (function-axioms) are inconsistent
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #535.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8806) all_56_15 = e2 & op(e0, e0) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8806) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8807) op(e0, e0) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8431), (8807), (function-axioms) are
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1471.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8808) all_56_13 = e1 & op(e0, e2) = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8808) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8809) all_56_13 = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (170), (227), (228),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8379), (8697), (8743), (8809), (function-axioms)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #622.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8810) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8810) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8811) all_56_14 = e1 & op(e0, e1) = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8811) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8812) all_56_14 = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8691), (8812) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8813) e1 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8813) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8814) e1 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8736), (8814) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8815) all_56_11 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (113), (164), (165),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (223), (224), (270), (8319), (8325),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8326), (8379), (8387), (8419), (8681), (8725),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8728), (8739), (8762), (8815), (function-axioms)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #431.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8816) all_56_15 = e1 & op(e0, e0) = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8816) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8817) all_56_15 = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (210),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (8327), (8736), (8751), (8752), (8817),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1191.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8818) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8376), (8416), (8745), (8818) are
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8819) all_56_10 = e2 & op(e2, e0) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8819) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8820) op(e2, e0) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8745), (8820), (function-axioms) are
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8821) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8821) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8822) all_56_11 = e2 & op(e1, e0) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8736), (8822) are inconsistent by sub-proof
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #706.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8823) all_56_15 = e2 & op(e0, e0) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8823) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8824) op(e0, e0) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8431), (8824), (function-axioms) are
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1471.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8825) all_56_3 = e2 & op(e2, e2) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8825) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8826) op(e2, e2) = e2
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8379), (8826), (function-axioms) are
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8827) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (8319), (8745), (8827),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #731.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8828) all_54_3 = e1 | all_54_3 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8681), (8728), (8828) are inconsistent by
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1248.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8829) all_56_15 = e1 & op(e0, e0) = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8829) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8830) all_56_15 = e1
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8716), (8830) are inconsistent by sub-proof
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1419.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8831) all_54_15 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (8831) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8832) all_10_2 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8714), (8832) imply:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8833) $false
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8833) is inconsistent.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8834) all_56_7 = e0 & op(e1, e2) = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8834) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8835) op(e1, e2) = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8373), (8835), (function-axioms) are
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1050.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8836) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8836) gives:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8837) all_56_8 = e0 & op(e1, e1) = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8837) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8838) op(e1, e1) = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (8838), (function-axioms) are
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8839) all_56_11 = e0 & op(e1, e0) = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8839) implies:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8840) all_56_11 = e0
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (45), (113), (164), (201), (210),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (246), (270), (369), (8327), (8431),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8681), (8701), (8714), (8716), (8722), (8840),
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1243.
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8841) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8841) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8842) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8842) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8843) all_56_9 = e0 & op(e3, e0) = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8843) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8844) all_56_9 = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (51), (133), (169), (170), (189), (201),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (246), (270), (369), (8318), (8327),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328), (8431), (8681), (8701), (8714), (8844),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #426.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8845) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8845) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8846) all_56_10 = e0 & op(e2, e0) = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8846) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8847) all_56_10 = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8848) all_54_15 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8327), (8848) are inconsistent by
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8849) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8849) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8850) all_54_15 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8431), (8850) are inconsistent by
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8851) all_54_15 = e1 | all_54_15 = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8851) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8852) all_54_15 = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (8852) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8853) all_10_2 = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8853) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8854) all_10_2 = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (8854) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8855) ~ (all_52_12 = e1)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8856) all_54_3 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (8856) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8857) all_52_12 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8701), (8857) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8858) $false
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8858) is inconsistent.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8859) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8859) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8860) all_54_3 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (8860) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8861) all_52_12 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8861) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8862) all_52_12 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (8862) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8863) ~ (all_52_4 = e2)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (8862) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8864) ~ (all_52_13 = e2)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8864) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8865) ~ (all_52_13 = e2)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8866) all_54_7 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (8866) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8867) all_52_13 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8867) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8868) all_52_13 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8868) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8869) ~ (all_52_1 = e3)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (145), (164),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (169), (170), (200), (223), (224), (232),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (269), (8318), (8319), (8328),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8372), (8379), (8413), (8419), (8683), (8694),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8847), (8863), (8869), (function-axioms) are
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #425.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8870) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8376), (8416), (8865), (8870) are
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8871) all_54_3 = e1 | all_54_3 = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8681), (8855), (8871) are inconsistent by
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1248.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8872) all_54_15 = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8714), (8872) are inconsistent by
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1263.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8873) all_56_11 = e0 & op(e1, e0) = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8873) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8874) all_56_11 = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8875) op(e1, e0) = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8876) all_54_15 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8327), (8876) are inconsistent by
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8877) ~ (all_54_15 = e3)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8878) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8878) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8879) all_54_15 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8431), (8879) are inconsistent by
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8880) ~ (all_54_15 = e2)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8881) all_54_15 = e1 | all_54_15 = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8881) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8882) all_54_15 = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (8882) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8883) all_10_2 = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8883) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8884) all_10_2 = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (8884) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8885) ~ (all_52_3 = e1)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (8884) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8886) ~ (all_52_12 = e1)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8887) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8887) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8888) all_56_9 = e3 & op(e3, e0) = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8888) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8889) op(e3, e0) = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (201), (270), (8681), (8701), (8886),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8889), (function-axioms) are inconsistent by
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #960.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8890) all_56_10 = e3 & op(e2, e0) = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8890) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8891) all_56_10 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8892) all_54_3 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (8892) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8893) all_52_12 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8701), (8893) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8894) $false
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8894) is inconsistent.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8895) ~ (all_54_3 = e3)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8896) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8897) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8897) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8898) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8898) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8899) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (8326), (8327), (8899),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #549.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8900) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (45), (8327), (8379), (8900),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #465.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8901) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8901) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8902) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (170), (8431), (8697), (8902),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #547.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8903) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8903) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8904) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8904) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8905) op(e3, e3) = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (8905), (function-axioms) are
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8906) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8906) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8907) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8907) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8908) op(e0, e0) = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8431), (8908), (function-axioms) are
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1471.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8909) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8909) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8910) all_57_28 = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8911) all_57_22 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8912) ~ (all_57_26 = e1)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8913) op(e2, e2) = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8914) op(e3, e1) = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8896) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8915) all_54_3 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (8915) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8916) all_52_12 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (8916) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8917) ~ (all_52_4 = e2)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (8916) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8918) ~ (all_52_13 = e2)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8918) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8919) ~ (all_52_13 = e2)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8920) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8920) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921) all_56_2 = e2 & op(e2, e3) = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8921) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8922) all_56_2 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8923) all_54_7 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (8923) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8924) all_52_13 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8924) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8925) all_52_13 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8925) imply:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8926) ~ (all_52_1 = e3)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8927) all_54_4 = e3
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8926), (8927) are inconsistent by
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1370.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8928) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8929) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (170), (8328), (8917), (8929),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1462.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8930) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8930) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8931) all_56_4 = e2 & op(e3, e1) = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8931) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8932) op(e3, e1) = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8318), (8932), (function-axioms) are
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8933) all_56_9 = e2 & op(e3, e0) = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8933) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8934) all_56_9 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8935) op(e3, e0) = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8936) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8936) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8937) all_56_12 = e1 & op(e0, e3) = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8937) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8938) all_56_12 = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (169),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (208), (209), (214), (216), (224), (227),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (236), (8318), (8325), (8326),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (8328), (8379), (8387), (8419), (8431),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8683), (8691), (8694), (8874), (8891), (8917),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8922), (8934), (8935), (8938), (function-axioms)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #435.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8939) all_56_13 = e1 & op(e0, e2) = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8939) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8940) all_56_13 = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (170), (227), (228),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8379), (8697), (8917), (8940), (function-axioms)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #622.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8941) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8941) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8942) all_56_14 = e1 & op(e0, e1) = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8691), (8942) are inconsistent by sub-proof
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #772.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8943) all_56_15 = e1 & op(e0, e0) = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8943) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8944) all_56_15 = e1
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8945) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (8913), (8917), (8945),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #424.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8946) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8946) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8947) all_56_7 = e2 & op(e1, e2) = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8947) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8948) all_56_7 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (145),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (170), (206), (210), (212),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (223), (224), (226), (228), (234),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (269), (8318), (8319), (8325), (8326),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (8328), (8372), (8379), (8387), (8413),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419), (8683), (8694), (8697), (8874), (8891),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8917), (8928), (8934), (8935), (8944), (8948),
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #421.
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8949) all_56_13 = e2 & op(e0, e2) = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8949) implies:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8950) all_56_13 = e2
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.23/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8951) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 160.39/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 160.39/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 160.39/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 160.39/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 160.39/23.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8951) gives:
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8952) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8952) implies:
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8953) op(e3, e3) = all_57_26
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8954) op(e3, all_57_22) = e1
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8911), (8954) imply:
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8955) op(e3, e3) = e1
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8912), (8953), (8955), (function-axioms) are
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1465.
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8956) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8956) implies:
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8957) (all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (121), (139), (144), (148), (149),
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (192), (196), (224), (228),
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (249), (259), (269), (8320), (8326),
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8372), (8379), (8387), (8413), (8415), (8419),
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8678), (8697), (8712), (8885), (8891), (8914),
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8922), (8928), (8950), (8957), (function-axioms)
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #417.
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8958) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8958) gives:
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.39/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8959) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8959) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8960) (all_57_23 = e2 & op(e2, e1) = e2) | ( ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8319), (8910), (8960), (function-axioms)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #416.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8961) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8961) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8962) (all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8683), (8935), (8962), (function-axioms) are
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1041.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8963) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8376), (8416), (8919), (8963) are
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8964) all_56_3 = e2 & op(e2, e2) = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8964) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8965) op(e2, e2) = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8913), (8965), (function-axioms) are
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1468.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8966) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (8319), (8919), (8966),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #731.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8967) all_54_3 = e1 | all_54_3 = e0
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8681), (8886), (8967) are inconsistent by
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1248.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8968) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8968) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8969) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8969) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8970) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8970) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8971) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8971) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8972) all_57_22 = e3
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8973) ~ (all_57_26 = e1)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8974) ~ (all_57_24 = e0)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8975) op(e3, e1) = e3
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8896) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8976) all_54_3 = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (8976) imply:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8977) all_52_12 = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (8977) imply:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8978) ~ (all_52_4 = e2)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (8977) imply:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8979) ~ (all_52_13 = e2)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8979) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8980) ~ (all_52_13 = e2)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8981) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8981) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8982) all_56_2 = e2 & op(e2, e3) = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8982) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8983) all_56_2 = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8984) all_54_7 = e3
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (8984) imply:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8985) all_52_13 = e3
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8985) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8986) all_52_13 = e3
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8986) imply:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8987) ~ (all_52_1 = e3)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8988) all_54_4 = e3
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8987), (8988) are inconsistent by
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1370.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8989) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8990) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (170), (8328), (8978), (8990),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1462.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8991) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8991) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8992) all_56_4 = e2 & op(e3, e1) = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8992) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8993) op(e3, e1) = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8318), (8993), (function-axioms) are
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8994) all_56_9 = e2 & op(e3, e0) = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8994) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8995) all_56_9 = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8996) op(e3, e0) = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8997) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8997) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8998) all_56_12 = e1 & op(e0, e3) = e1
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8998) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8999) all_56_12 = e1
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (169),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (208), (209), (214), (216), (224), (227),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (236), (8318), (8325), (8326),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (8328), (8379), (8387), (8419), (8431),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8683), (8691), (8694), (8874), (8891), (8978),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8983), (8995), (8996), (8999), (function-axioms)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #435.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9000) all_56_13 = e1 & op(e0, e2) = e1
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9000) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9001) all_56_13 = e1
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (170), (227), (228),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8379), (8697), (8978), (9001), (function-axioms)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #622.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9002) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9002) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9003) all_56_14 = e1 & op(e0, e1) = e1
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8691), (9003) are inconsistent by sub-proof
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #772.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9004) all_56_15 = e1 & op(e0, e0) = e1
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9004) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9005) all_56_15 = e1
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9006) op(e0, e0) = e1
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9007) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (8379), (8978), (9007),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #723.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9008) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9008) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9009) all_56_7 = e2 & op(e1, e2) = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9009) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9010) all_56_7 = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (145),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (170), (206), (210), (212),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (223), (224), (226), (228), (234),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (269), (8318), (8319), (8325), (8326),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (8328), (8372), (8379), (8387), (8413),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419), (8683), (8694), (8697), (8874), (8891),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8978), (8989), (8995), (8996), (9005), (9010),
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #421.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9011) all_56_13 = e2 & op(e0, e2) = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9011) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9012) all_56_13 = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9013) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9013) gives:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9014) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9014) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9015) op(e3, e3) = all_57_26
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9016) op(e3, all_57_22) = e1
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8972), (9016) imply:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9017) op(e3, e3) = e1
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8973), (9015), (9017), (function-axioms) are
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1465.
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9018) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9018) implies:
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9019) (all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 160.40/23.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (121), (139), (144), (148), (149),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (192), (196), (224), (228),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (249), (259), (269), (8320), (8326),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8372), (8379), (8387), (8413), (8415), (8419),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8678), (8697), (8712), (8885), (8891), (8975),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8983), (8989), (9012), (9019), (function-axioms)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #417.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9020) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9020) gives:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9021) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9021) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9022) (all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8974), (9006), (9022), (function-axioms) are
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1344.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9023) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9023) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9024) (all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8683), (8996), (9024), (function-axioms) are
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1041.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9025) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8376), (8416), (8980), (9025) are
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9026) all_56_3 = e2 & op(e2, e2) = e2
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9026) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9027) op(e2, e2) = e2
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8379), (9027), (function-axioms) are
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9028) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (8319), (8980), (9028),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #731.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9029) all_54_3 = e1 | all_54_3 = e0
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8681), (8886), (9029) are inconsistent by
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1248.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9030) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9030) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9031) op(e3, e3) = e1
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8683), (9031), (function-axioms) are
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1387.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9032) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (168), (270), (8319), (8681), (8701),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8886), (8896), (9032), (function-axioms) are
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #414.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9033) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9033) gives:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9034) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9034) gives:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9035) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9035) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9036) op(e2, e0) = e2
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (164), (270), (8681), (8886), (8896),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9036), (function-axioms) are inconsistent by
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1247.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9037) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9037) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9038) op(e1, e0) = e1
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (45), (51), (113), (133), (136),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (162), (164), (165), (169), (170), (195),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (203), (209), (212), (214), (216), (223),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (231), (232),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (258), (259), (270),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (8316), (8317), (8318), (8319), (8325),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8326), (8327), (8328), (8373), (8379), (8387),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419), (8678), (8679), (8681), (8683), (8691),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8694), (8697), (8701), (8842), (8874), (8875),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8886), (8891), (8896), (9038), (function-axioms)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #405.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9039) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9039) gives:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9040) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9040) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9041) op(e2, e0) = e2
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (164), (270), (8681), (8886), (8896),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9041), (function-axioms) are inconsistent by
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1247.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9042) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9042) gives:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9043) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9043) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9044) op(e1, e0) = e1
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (45), (51), (113), (133), (136),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (162), (164), (165), (169), (170), (195),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (203), (209), (212), (214), (216), (223),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (231), (232),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (258), (259), (270),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (8316), (8317), (8318), (8319), (8325),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8326), (8327), (8328), (8373), (8379), (8387),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419), (8678), (8679), (8681), (8683), (8691),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8694), (8697), (8701), (8842), (8874), (8875),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8886), (8891), (8896), (9044), (function-axioms)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #405.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9045) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9045) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9046) op(e0, e0) = all_57_31
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9047) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9048) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9048) gives:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9049) all_56_9 = e1 & op(e3, e0) = e1
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9049) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9050) all_56_9 = e1
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (133), (169), (170), (234), (270), (8318),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328), (8681), (8886), (8896), (9050),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1062.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9051) all_56_10 = e1 & op(e2, e0) = e1
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9051) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9052) all_56_10 = e1
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (165), (223), (224),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319), (8379), (8387), (8419), (9052),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #437.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9053) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9053) gives:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9054) all_56_11 = e1 & op(e1, e0) = e1
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9054) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9055) op(e1, e0) = e1
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (45), (51), (113), (133), (136),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (162), (164), (165), (169), (170), (195),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (203), (209), (212), (214), (216), (223),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (227), (228), (229), (231), (232),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (234), (235), (236), (258), (259), (270),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (272), (8316), (8317), (8318), (8319), (8325),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8326), (8327), (8328), (8373), (8379), (8387),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419), (8678), (8679), (8681), (8683), (8691),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8694), (8697), (8701), (8842), (8874), (8875),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8886), (8891), (8896), (9055), (function-axioms)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #405.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9056) all_56_15 = e1 & op(e0, e0) = e1
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9056) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9057) all_56_15 = e1
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9058) op(e0, e0) = e1
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8896) gives:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9059) all_54_3 = e2
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9059) imply:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9060) all_52_12 = e2
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (9060) imply:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9061) ~ (all_52_4 = e2)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9060) imply:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9062) ~ (all_52_13 = e2)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9062) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9063) ~ (all_52_13 = e2)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8701), (9060) imply:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9064) ~ (e3 = e2)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9065) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (8379), (9061), (9065),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #723.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9066) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9066) gives:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9067) all_56_7 = e2 & op(e1, e2) = e2
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9067) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9068) all_56_7 = e2
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9069) all_54_7 = e3
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (9069) imply:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9070) all_52_13 = e3
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9070) implies:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9071) all_52_13 = e3
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9071) imply:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9072) ~ (all_52_1 = e3)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9073) all_54_4 = e3
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9072), (9073) are inconsistent by
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1370.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9074) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9075) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (170), (8328), (9061), (9075),
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1462.
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9076) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9076) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9077) all_56_4 = e2 & op(e3, e1) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9077) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9078) op(e3, e1) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8318), (9078), (function-axioms) are
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9079) all_56_9 = e2 & op(e3, e0) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9079) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9080) all_56_9 = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9081) op(e3, e0) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (145),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (170), (206), (210), (212),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (223), (224), (226), (228), (234),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (269), (8318), (8319), (8325), (8326),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (8328), (8372), (8379), (8387), (8413),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419), (8683), (8694), (8697), (8874), (8891),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9057), (9061), (9068), (9074), (9080), (9081),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #421.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9082) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8376), (8416), (9063), (9082) are
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9083) all_56_13 = e2 & op(e0, e2) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (51), (8326), (8328), (8379),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9046), (9047), (9058), (9083), (function-axioms)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #447.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9084) all_54_3 = e1 | all_54_3 = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (8681), (8886), (9084) are inconsistent by
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1248.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9085) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9085) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9086) all_56_11 = e3 & op(e1, e0) = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9086) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9087) all_56_11 = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (51), (133), (169), (170), (201),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (236), (270), (8318), (8328),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8681), (8683), (8694), (8701), (8874), (8886),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9087), (function-axioms) are inconsistent by
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #404.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9088) all_56_15 = e3 & op(e0, e0) = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9088) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9089) op(e0, e0) = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (9089), (function-axioms) are
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9090) all_54_15 = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8714), (9090) are inconsistent by
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1263.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9091) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (8318), (8414), (8680), (9091) are
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #814.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9092) all_56_5 = e3 & op(e2, e1) = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9092) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9093) op(e2, e1) = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8419), (9093), (function-axioms) are
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | (9094) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (8326), (8691), (9094),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | #403.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | (9095) all_30_2 = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | (9096) ( ~ (all_30_0 = e3) & op(e2, e0) = all_30_0 &
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | $i(all_30_0)) | ( ~ (all_30_1 = e1) & op(e2, e2)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (9095) imply:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | (9097) all_10_2 = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | SIMP: (9097) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | (9098) all_10_2 = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (9098) imply:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | (9099) ~ (all_52_12 = e2)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (9098) imply:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | (9100) ~ (all_52_13 = e2)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8327), (9098) imply:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | (9101) ~ (e3 = e2)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (9098) imply:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | (9102) op(e0, e0) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | (9103) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9103) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | (9104) all_56_9 = e2 & op(e3, e0) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9104) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | (9105) all_56_9 = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | (9106) op(e3, e0) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | (9107) all_56_15 = e0 & op(e0, e0) = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9107) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | (9108) op(e0, e0) = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9102), (9108), (function-axioms) are
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1100.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | (9109) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9109) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | (9110) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | (9111) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9111) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9112) all_56_9 = e1 & op(e3, e0) = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9105), (9112) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | #1449.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9113) all_56_10 = e1 & op(e2, e0) = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9113) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9114) all_56_10 = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (165), (223), (224),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (8319), (8379), (8387), (8419), (9114),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | #437.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | (9115) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9115) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9116) all_56_11 = e1 & op(e1, e0) = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9116) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9117) all_56_11 = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (212), (8327),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9105), (9106), (9110), (9117), (function-axioms)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1422.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9118) all_56_15 = e1 & op(e0, e0) = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9118) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9119) op(e0, e0) = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9102), (9119), (function-axioms) are
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1431.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | (9120) all_56_10 = e2 & op(e2, e0) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9120) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | (9121) op(e2, e0) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9100), (9121), (function-axioms) are
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | (9122) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9122) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | (9123) all_56_11 = e2 & op(e1, e0) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9123) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | (9124) all_56_11 = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (213), (214),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | (216), (8325), (8326), (8373), (9124),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | #459.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | (9125) all_56_15 = e2 & op(e0, e0) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9125) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | (9126) all_56_15 = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | (9127) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9127) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | (9128) all_56_2 = e2 & op(e2, e3) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9128) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | (9129) all_56_2 = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9130) all_54_7 = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (9130) imply:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9131) all_52_13 = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9131) imply:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9132) ~ (all_52_1 = e3)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9131) imply:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9133) ~ (all_52_12 = e3)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (9131) imply:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9134) ~ (all_52_14 = e3)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9134) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9135) ~ (all_52_14 = e3)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (9131) imply:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (9136) op(e2, e0) = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9096) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9137) ~ (all_30_0 = e3) & op(e2, e0) = all_30_0 &
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_0)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9137) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9138) ~ (all_30_0 = e3)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9139) op(e2, e0) = all_30_0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9136), (9138), (9139), (function-axioms) are
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1159.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9140) ~ (all_30_1 = e1) & op(e2, e2) = all_30_1 &
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9140) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9141) ~ (all_30_1 = e1)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9142) op(e2, e2) = all_30_1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9143) all_54_4 = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (9143) imply:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9144) all_52_1 = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9132), (9144) imply:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9145) $false
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9145) is inconsistent.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9146) ~ (all_54_4 = e3)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9147) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9148) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9148) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9149) all_56_9 = e3 & op(e3, e0) = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9149) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9150) all_56_9 = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9151) all_56_15 = e0 & op(e0, e0) = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9126), (9151) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #930.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9152) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9152) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9153) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9153) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9154) all_56_9 = e0 & op(e3, e0) = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9150), (9154) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #780.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9155) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9155) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9156) all_56_10 = e0 & op(e2, e0) = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9156) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9157) all_56_10 = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (145), (164), (165), (200),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (269), (8319), (8372), (8379),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8413), (8419), (9132), (9157), (function-axioms)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #402.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9158) all_56_11 = e0 & op(e1, e0) = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9158) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9159) all_56_11 = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9160) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9160) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9161) all_56_9 = e1 & op(e3, e0) = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9150), (9161) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1109.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9162) all_56_10 = e1 & op(e2, e0) = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9162) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9163) all_56_10 = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (8387), (8419), (9129),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9163), (function-axioms) are inconsistent by
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #450.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9164) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9164) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9165) all_56_11 = e1 & op(e1, e0) = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9159), (9165) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1420.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9166) all_56_15 = e1 & op(e0, e0) = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9126), (9166) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #401.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9167) all_56_10 = e3 & op(e2, e0) = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9167) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9168) all_56_10 = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9169) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9169) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9170) all_56_1 = e2 & op(e3, e2) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9170) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9171) all_56_1 = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9172) op(e3, e2) = e2
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9173) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (8429), (9171), (9173),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #400.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9174) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9174) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9175) all_56_4 = e1 & op(e3, e1) = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9175) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9176) all_56_4 = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9177) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9177) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9178) all_56_4 = e0 & op(e3, e1) = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9176), (9178) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1075.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9179) all_56_5 = e0 & op(e2, e1) = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8427), (9179) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1275.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9180) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9180) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9181) all_56_8 = e0 & op(e1, e1) = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9181) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9182) op(e1, e1) = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (9182), (function-axioms) are
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9183) all_56_14 = e0 & op(e0, e1) = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9183) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9184) all_56_14 = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9185) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9185) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9186) all_56_4 = e3 & op(e3, e1) = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9186) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9187) all_56_4 = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (8387), (8419), (9129),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9168), (9176), (9187), (function-axioms) are
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #406.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9188) all_56_5 = e3 & op(e2, e1) = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9188) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9189) op(e2, e1) = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8419), (9189), (function-axioms) are
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9190) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9190) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9191) all_56_8 = e3 & op(e1, e1) = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9191) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9192) op(e1, e1) = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8326), (9192), (function-axioms) are
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9193) all_56_14 = e3 & op(e0, e1) = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9193) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9194) all_56_14 = e3
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9184), (9194) imply:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9195) e3 = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9168), (9195) imply:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9196) all_56_10 = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (145), (164), (165), (200),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (269), (8319), (8372), (8379),
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8413), (8419), (9132), (9196), (function-axioms)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #402.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9197) all_56_9 = e1 & op(e3, e0) = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9197) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9198) all_56_9 = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9199) op(e3, e0) = e1
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9200) all_56_15 = e0 & op(e0, e0) = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9126), (9200) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #930.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9201) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9201) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9202) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9202) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9203) all_56_9 = e0 & op(e3, e0) = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9198), (9203) are inconsistent by sub-proof
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1092.
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9204) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9204) gives:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9205) all_56_10 = e0 & op(e2, e0) = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9205) implies:
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9206) all_56_10 = e0
% 160.40/23.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (145), (164), (165), (200),
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (269), (8319), (8372), (8379),
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8413), (8419), (9132), (9206), (function-axioms)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #402.
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9207) all_56_11 = e0 & op(e1, e0) = e0
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9207) implies:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9208) op(e1, e0) = e0
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (9208) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9209) all_52_14 = e0
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_30_1,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (8379), (9142) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9210) all_30_1 = e0
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (9199) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9211) all_52_12 = e1
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (9172) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9212) all_52_4 = e2
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (9212) imply:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9213) ~ (all_14_2 = e2)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (9211) imply:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9214) ~ (all_14_2 = e1)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8321), (9209) imply:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9215) ~ (e2 = e0)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9216) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9216) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9217) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (8326), (8327), (9218),
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #549.
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9219) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (45), (8327), (8379), (9219),
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #465.
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9220) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9220) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9221) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9172), (9221), (function-axioms) are
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #399.
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9222) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9222) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9223) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9223) implies:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9224) op(e3, e3) = e2
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (9224), (function-axioms) are
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9225) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9225) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9226) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9226) implies:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9227) ~ (all_57_30 = e2)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9228) op(e1, e1) = all_57_30
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8326), (9227), (9228), (function-axioms) are
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1397.
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9229) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9229) implies:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9230) all_57_28 = e1
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9231) all_57_22 = e3
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9232) ~ (all_57_26 = e1)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9233) op(e2, e2) = e1
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9234) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9234) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9235) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9235) implies:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9236) op(e3, e3) = all_57_26
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9237) op(e3, all_57_22) = e1
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9231), (9237) imply:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9238) op(e3, e3) = e1
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9232), (9236), (9238), (function-axioms) are
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1465.
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9239) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9239) implies:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9240) op(e2, all_57_28) = e2
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9230), (9240) imply:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9241) op(e2, e1) = e2
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8319), (9241), (function-axioms) are
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9242) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9242) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9243) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9243) implies:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9244) (all_57_23 = e2 & op(e2, e1) = e2) | ( ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8319), (9230), (9244), (function-axioms)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #416.
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9245) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9245) implies:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9246) (all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e2,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (8379), (9233) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9247) e1 = e0
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9230), (9247) imply:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9248) all_57_28 = e0
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9100), (9246), (9248), (function-axioms)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #724.
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9249) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9249) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9250) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9250) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9251) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (8429), (9102), (9251),
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1164.
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9252) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9252) gives:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9253) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9253) implies:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9254) op(e2, e1) = e2
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8319), (9254), (function-axioms) are
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9255) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9255) gives:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9256) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9256) implies:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9257) op(e3, e0) = e3
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e0,
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (9199), (9257) gives:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9258) e3 = e1
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9168), (9258) imply:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9259) all_56_10 = e1
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (8387), (8419), (9129),
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9259), (function-axioms) are inconsistent by
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #450.
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9260) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9260) implies:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9261) op(e1, e1) = e0
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (9261), (function-axioms) are
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9262) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9262) gives:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9263) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9263) gives:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9264) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9264) implies:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9265) op(e2, e0) = e2
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (8372), (8413), (9147),
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9265), (function-axioms) are inconsistent by
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9266) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9266) implies:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9267) op(e1, e0) = e1
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9208), (9267), (function-axioms) are
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1183.
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9268) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9268) gives:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9269) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9269) implies:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9270) op(e2, e0) = e2
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (8372), (8413), (9147),
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9270), (function-axioms) are inconsistent by
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9271) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9271) gives:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9272) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9272) implies:
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9273) op(e1, e0) = e1
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9208), (9273), (function-axioms) are
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1183.
% 160.40/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9274) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9274) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9275) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (9), (51), (158), (8326), (8328),
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8374), (8379), (8429), (9275), (function-axioms)
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1056.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9276) all_56_3 = e2 & op(e2, e2) = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9276) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9277) op(e2, e2) = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8379), (9277), (function-axioms) are
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9278) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9278) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9279) all_56_7 = e2 & op(e1, e2) = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9279) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9280) all_56_7 = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9281) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9281) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9282) all_56_0 = e2 & op(e3, e3) = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9282) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9283) op(e3, e3) = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (9283), (function-axioms) are
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9284) all_56_1 = e2 & op(e3, e2) = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9284) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9285) all_56_1 = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9286) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (8379), (9285), (9286),
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #398.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9287) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9287) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9288) all_56_7 = e3 & op(e1, e2) = e3
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9288) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9289) all_56_7 = e3
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9280), (9289) are inconsistent by sub-proof
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1015.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9290) all_56_13 = e3 & op(e0, e2) = e3
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9290) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9291) all_56_13 = e3
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9292) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9292) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9293) all_56_1 = e1 & op(e3, e2) = e1
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9285), (9293) are inconsistent by sub-proof
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #852.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9294) all_56_3 = e1 & op(e2, e2) = e1
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8387), (9294) are inconsistent by sub-proof
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #397.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9295) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9295) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9296) all_56_7 = e1 & op(e1, e2) = e1
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9296) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9297) all_56_7 = e1
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9280), (9297) are inconsistent by sub-proof
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #921.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9298) all_56_13 = e1 & op(e0, e2) = e1
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9298) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9299) all_56_13 = e1
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9291), (9299) imply:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9300) e3 = e1
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9168), (9300) imply:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9301) all_56_10 = e1
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (8387), (8419), (9129),
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9301), (function-axioms) are inconsistent by
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #450.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9302) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9302) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9303) all_56_4 = e2 & op(e3, e1) = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9303) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9304) op(e3, e1) = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8318), (9304), (function-axioms) are
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9305) all_56_9 = e2 & op(e3, e0) = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9305) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9306) all_56_9 = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9307) op(e3, e0) = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (210),
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (8327), (9126), (9168), (9306), (9307),
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #928.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9308) all_56_13 = e2 & op(e0, e2) = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9308) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9309) all_56_13 = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9310) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9310) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9311) all_56_0 = e2 & op(e3, e3) = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9311) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9312) op(e3, e3) = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (9312), (function-axioms) are
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9313) all_56_1 = e2 & op(e3, e2) = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9313) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9314) all_56_1 = e2
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9315) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (8379), (9314), (9315),
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #398.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9316) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9316) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9317) all_56_7 = e3 & op(e1, e2) = e3
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9317) implies:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9318) all_56_7 = e3
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9319) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9319) gives:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9320) all_56_1 = e1 & op(e3, e2) = e1
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9314), (9320) are inconsistent by sub-proof
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #852.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9321) all_56_3 = e1 & op(e2, e2) = e1
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8387), (9321) are inconsistent by sub-proof
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #397.
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9322) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9322) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9323) all_56_7 = e1 & op(e1, e2) = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9323) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9324) all_56_7 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9318), (9324) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9325) e3 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (8387), (8419), (9129),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9168), (9325), (function-axioms) are inconsistent
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #396.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9326) all_56_13 = e1 & op(e0, e2) = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9326) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9327) all_56_13 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9309), (9327) are inconsistent by sub-proof
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1193.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9328) all_56_13 = e3 & op(e0, e2) = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9309), (9328) are inconsistent by sub-proof
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1032.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9329) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9329) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9330) all_56_4 = e2 & op(e3, e1) = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9330) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9331) op(e3, e1) = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8318), (9331), (function-axioms) are
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9332) all_56_9 = e2 & op(e3, e0) = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9332) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9333) all_56_9 = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9334) op(e3, e0) = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (210),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (8327), (9126), (9168), (9333), (9334),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #928.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9335) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9335) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9336) all_56_11 = e3 & op(e1, e0) = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9336) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9337) all_56_11 = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9338) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9338) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9339) all_56_6 = e0 & op(e1, e3) = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9339) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9340) all_56_6 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9341) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9341) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9342) all_56_9 = e1 & op(e3, e0) = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9342) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9343) all_56_9 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9344) all_56_15 = e0 & op(e0, e0) = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9344) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9345) all_56_15 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9126), (9345) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9346) e2 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9346) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9347) e2 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (9347) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9348) $false
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9348) is inconsistent.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9349) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9349) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9350) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9351) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9351) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9352) all_56_6 = e1 & op(e1, e3) = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9340), (9352) are inconsistent by sub-proof
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #703.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9353) all_56_7 = e1 & op(e1, e2) = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9353) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9354) all_56_7 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9350) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9355) all_56_9 = e0 & op(e3, e0) = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9343), (9355) are inconsistent by sub-proof
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1092.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9356) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9356) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9357) all_56_10 = e0 & op(e2, e0) = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9357) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9358) all_56_10 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9359) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (145), (164), (165), (200), (223),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (8319), (8372), (8379), (8413), (9132),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9359), (function-axioms) are inconsistent by
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9360) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9360) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9361) all_56_5 = e3 & op(e2, e1) = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9361) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9362) op(e2, e1) = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8419), (9362), (function-axioms) are
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9363) all_56_10 = e3 & op(e2, e0) = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9363) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9364) all_56_10 = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9358), (9364) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9365) e3 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9337), (9365) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9366) all_56_11 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (224), (8326), (8387),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419), (9129), (9340), (9354), (9364), (9366),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #432.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9367) all_56_11 = e0 & op(e1, e0) = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9367) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9368) all_56_11 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9337), (9368) are inconsistent by sub-proof
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1445.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9369) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9369) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9370) all_56_8 = e1 & op(e1, e1) = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8325), (9370) are inconsistent by sub-proof
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #520.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9371) all_56_11 = e1 & op(e1, e0) = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9337), (9371) are inconsistent by sub-proof
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #518.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9372) all_56_10 = e1 & op(e2, e0) = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9372) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9373) all_56_10 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (8387), (8419), (9129),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9373), (function-axioms) are inconsistent by
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #450.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9374) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9374) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9375) all_56_11 = e1 & op(e1, e0) = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9337), (9375) are inconsistent by sub-proof
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #518.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9376) all_56_15 = e1 & op(e0, e0) = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9126), (9376) are inconsistent by sub-proof
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #401.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9377) all_56_7 = e0 & op(e1, e2) = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9377) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9378) op(e1, e2) = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8373), (9378), (function-axioms) are
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1050.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9379) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8326), (9337), (9379),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #491.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9380) all_56_15 = e3 & op(e0, e0) = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9380) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9381) op(e0, e0) = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (9381), (function-axioms) are
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (9382) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (8376), (8416), (9100), (9382) are
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1349.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | (9383) all_56_3 = e2 & op(e2, e2) = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9383) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | (9384) op(e2, e2) = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8379), (9384), (function-axioms) are
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | (9385) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (8319), (9100), (9385),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | #731.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | (9386) all_28_2 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (9386) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | (9387) all_14_2 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | SIMP: (9387) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | (9388) all_14_2 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (305), (9388) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | (9389) all_36_2 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (339), (9388) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | (9390) ~ (all_52_2 = e1)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (341), (9388) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | (9391) ~ (all_52_3 = e1)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (9388) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | (9392) op(e3, e3) = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | (9393) ~ (all_36_2 = e1)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9389), (9393) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | (9394) $false
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | CLOSE: (9394) is inconsistent.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | (9395) ( ~ (all_36_0 = e0) & op(e1, e3) = all_36_0 &
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | $i(all_36_0)) | ( ~ (all_36_1 = e2) & op(e1, e1)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9395) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | (9396) ~ (all_36_0 = e0) & op(e1, e3) = all_36_0 &
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | $i(all_36_0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9396) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | (9397) ~ (all_36_0 = e0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | (9398) op(e1, e3) = all_36_0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | all_36_0, e3, e1, simplifying with (163), (9398)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | (9399) all_52_2 = all_36_0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (9399) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | (9400) all_54_8 = all_36_0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (9399) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | (9401) ~ (all_52_1 = all_36_0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (9399) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | (9402) ~ (all_52_3 = all_36_0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9402) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | (9403) ~ (all_52_3 = all_36_0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (9399) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | (9404) ~ (all_52_6 = all_36_0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9404) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | (9405) ~ (all_52_6 = all_36_0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (9399) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | (9406) ~ (all_52_14 = all_36_0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | SIMP: (9406) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | (9407) ~ (all_52_14 = all_36_0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8316), (9399) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | (9408) ~ (all_36_0 = e2)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9390), (9399) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | (9409) ~ (all_36_0 = e1)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | (9410) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9410) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | (9411) all_56_6 = e0 & op(e1, e3) = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9411) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | (9412) all_56_6 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | (9413) all_54_8 = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9400), (9413) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | (9414) all_36_0 = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9401), (9414) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | (9415) ~ (all_52_1 = e3)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9403), (9414) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | (9416) ~ (all_52_3 = e3)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9405), (9414) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | (9417) ~ (all_52_6 = e3)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (9418) all_54_9 = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (9418) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (9419) all_52_6 = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9417), (9419) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (9420) $false
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9420) is inconsistent.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (9421) ~ (all_54_9 = e3)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (9422) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9422) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9423) all_54_9 = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (9423) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9424) all_52_6 = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8317), (9424) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9425) $false
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9425) is inconsistent.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9426) all_54_9 = e1 | all_54_9 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9426) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9427) all_54_9 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (9427) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9428) all_52_6 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (9428) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9429) ~ (all_52_7 = e1)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9429) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9430) ~ (all_52_7 = e1)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9431) all_54_4 = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (9431) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9432) all_52_1 = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9415), (9432) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9433) $false
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9433) is inconsistent.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9434) ~ (all_54_4 = e3)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9435) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9435) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9436) all_54_4 = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (9436) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9437) all_52_1 = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (9437) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9438) ~ (all_52_3 = e2)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9438) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9439) ~ (all_52_3 = e2)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9437) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9440) ~ (all_52_13 = e2)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9440) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9441) ~ (all_52_13 = e2)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9415), (9437) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9442) ~ (e3 = e2)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9443) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9443) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9444) all_56_2 = e2 & op(e2, e3) = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9444) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9445) all_56_2 = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9446) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9446) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9447) all_56_9 = e1 & op(e3, e0) = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9447) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9448) all_56_9 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9449) all_54_12 = e3
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (9416), (9449) are inconsistent by
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #864.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9450) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9451) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9451) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9452) all_56_0 = e2 & op(e3, e3) = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9452) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9453) op(e3, e3) = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (9453), (function-axioms) are
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9454) all_56_1 = e2 & op(e3, e2) = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9454) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9455) op(e3, e2) = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9450) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9456) all_54_12 = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (9439), (9456) are inconsistent by
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1361.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9457) all_54_12 = e1 | all_54_12 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9457) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9458) all_54_12 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (9391), (9458) are inconsistent by
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1360.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9459) all_54_12 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (9459) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9460) all_52_3 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9460) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9461) all_52_3 = e0
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (9461) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9462) ~ (all_52_7 = e0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (9461) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9463) ~ (all_52_11 = e0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9463) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9464) ~ (all_52_11 = e0)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (135), (170), (190), (191), (247), (248),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8320), (8374), (8415), (9430), (9455), (9464),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #395.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9465) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9465) gives:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9466) all_56_4 = e2 & op(e3, e1) = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9466) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9467) op(e3, e1) = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8318), (9467), (function-axioms) are
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9468) all_56_9 = e2 & op(e3, e0) = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9468) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9469) all_56_9 = e2
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9448), (9469) imply:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9470) e2 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9470) implies:
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9471) e2 = e1
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (163), (165),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (233), (235), (8316), (8319),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328), (8379), (8387), (8419), (9392), (9445),
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9471), (function-axioms) are inconsistent by
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #394.
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9472) all_56_10 = e1 & op(e2, e0) = e1
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9472) implies:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9473) all_56_10 = e1
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (8387), (8419), (9445),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9473), (function-axioms) are inconsistent by
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #450.
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9474) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9474) gives:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9475) all_56_11 = e1 & op(e1, e0) = e1
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9475) implies:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9476) all_56_11 = e1
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9477) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9477) gives:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9478) all_56_6 = e3 & op(e1, e3) = e3
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9412), (9478) are inconsistent by sub-proof
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #434.
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9479) all_56_7 = e3 & op(e1, e2) = e3
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9479) implies:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9480) all_56_7 = e3
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9481) all_54_12 = e3
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (9416), (9481) are inconsistent by
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #864.
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9482) ~ (all_54_12 = e3)
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9483) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9483) gives:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9484) all_54_12 = e2
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (9439), (9484) are inconsistent by
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1361.
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9485) ~ (all_54_12 = e2)
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9486) all_54_12 = e1 | all_54_12 = e0
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9486) gives:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9487) all_54_12 = e1
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (9391), (9487) are inconsistent by
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1360.
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9488) all_54_12 = e0
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (249), (9488) imply:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9489) all_52_3 = e0
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9489) implies:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9490) all_52_3 = e0
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (9490) imply:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9491) ~ (all_52_7 = e0)
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (9490) imply:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9492) ~ (all_52_11 = e0)
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9492) implies:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9493) ~ (all_52_11 = e0)
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9439), (9490) imply:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9494) ~ (e2 = e0)
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9495) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9495) gives:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9496) all_56_1 = e2 & op(e3, e2) = e2
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9496) implies:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9497) op(e3, e2) = e2
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (135), (170), (190), (191), (247), (248),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8320), (8374), (8415), (9430), (9493), (9497),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #395.
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9498) all_56_3 = e2 & op(e2, e2) = e2
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9498) implies:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9499) op(e2, e2) = e2
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8379), (9499), (function-axioms) are
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9500) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9500) gives:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9501) all_56_7 = e2 & op(e1, e2) = e2
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9501) implies:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9502) all_56_7 = e2
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9480), (9502) are inconsistent by sub-proof
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1015.
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9503) all_56_13 = e2 & op(e0, e2) = e2
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9503) implies:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9504) all_56_13 = e2
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9505) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9505) gives:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9506) all_56_12 = e1 & op(e0, e3) = e1
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9506) implies:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9507) all_56_12 = e1
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (224), (229), (235),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8387), (8419), (9392), (9445), (9507),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #390.
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9508) all_56_13 = e1 & op(e0, e2) = e1
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (163), (165),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (233), (235), (8316), (8319),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328), (8379), (8387), (8419), (9392), (9445),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9504), (9508), (function-axioms) are inconsistent
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #389.
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9509) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9509) gives:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9510) all_56_14 = e1 & op(e0, e1) = e1
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9510) implies:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9511) all_56_14 = e1
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9512) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (121), (139), (169), (190), (247), (249),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8320), (8415), (8419), (9391), (9439), (9483),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9512), (function-axioms) are inconsistent by
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #388.
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9513) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9513) gives:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9514) all_56_8 = e3 & op(e1, e1) = e3
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9514) implies:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9515) op(e1, e1) = e3
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8326), (9515), (function-axioms) are
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9516) all_56_14 = e3 & op(e0, e1) = e3
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9511), (9516) are inconsistent by sub-proof
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #387.
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9517) all_56_15 = e1 & op(e0, e0) = e1
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9517) implies:
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9518) all_56_15 = e1
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (121),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (145), (162), (163), (164), (165), (169),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (192), (196), (200), (206), (208), (210),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (216), (220), (223),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (228), (229), (230), (233), (234),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (247), (249), (269), (8316), (8318),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319), (8320), (8325), (8326), (8327), (8328),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8372), (8373), (8379), (8387), (8413), (8415),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419), (9391), (9392), (9397), (9400), (9401),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9408), (9409), (9412), (9415), (9416), (9439),
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9441), (9445), (9518), (function-axioms) are
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #373.
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.55/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9519) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9520) all_56_8 = e3 & op(e1, e1) = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9520) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9521) op(e1, e1) = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8326), (9521), (function-axioms) are
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9522) all_56_11 = e3 & op(e1, e0) = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9476), (9522) are inconsistent by sub-proof
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1097.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9523) all_56_15 = e1 & op(e0, e0) = e1
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9523) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9524) all_56_15 = e1
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (121),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (145), (162), (163), (164), (165), (169),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (192), (196), (200), (206), (208), (210),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (216), (220), (223),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (226), (228), (229), (230), (233), (234),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (247), (249), (269), (8316), (8318),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319), (8320), (8325), (8326), (8327), (8328),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8372), (8373), (8379), (8387), (8413), (8415),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419), (9391), (9392), (9397), (9400), (9401),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9408), (9409), (9412), (9415), (9416), (9439),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9441), (9445), (9524), (function-axioms) are
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #373.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9525) all_56_3 = e2 & op(e2, e2) = e2
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9525) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9526) op(e2, e2) = e2
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8379), (9526), (function-axioms) are
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9527) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (8319), (9441), (9527),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #731.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9528) all_54_4 = e1 | all_54_4 = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (8372), (8413), (9528) are inconsistent by
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #899.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9529) all_54_9 = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (9529) imply:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9530) all_52_6 = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8373), (9530) imply:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9531) $false
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9531) is inconsistent.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | (9532) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9397), (9400), (9408), (9409), (9532) are
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #468.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | (9533) all_56_7 = e0 & op(e1, e2) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9533) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | (9534) op(e1, e2) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8373), (9534), (function-axioms) are
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1050.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | (9535) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_11 =
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9535) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | (9536) all_56_8 = e0 & op(e1, e1) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9536) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | (9537) op(e1, e1) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (9537), (function-axioms) are
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | (9538) all_56_11 = e0 & op(e1, e0) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9538) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | (9539) all_56_11 = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | (9540) op(e1, e0) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | (9541) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_2 = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9541) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9542) all_56_0 = e0 & op(e3, e3) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9542) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9543) op(e3, e3) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9392), (9543), (function-axioms) are
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1387.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9544) all_56_2 = e0 & op(e2, e3) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9544) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9545) all_56_2 = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (145), (164), (165), (196), (200), (223),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (8319), (8372), (8379), (8413), (9397),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9400), (9401), (9408), (9409), (9545),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | #382.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | (9546) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_12 =
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9546) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9547) all_56_6 = e0 & op(e1, e3) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9547) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9548) all_56_6 = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9549) all_54_8 = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9400), (9549) imply:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9550) all_36_0 = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9401), (9550) imply:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9551) ~ (all_52_1 = e3)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9552) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9552) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9553) all_56_2 = e3 & op(e2, e3) = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9553) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9554) all_56_2 = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9555) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (8379), (9554), (9555),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #994.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9556) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (165), (200), (269), (8319), (8372),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8413), (9551), (9556), (function-axioms) are
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #455.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9557) all_56_3 = e3 & op(e2, e2) = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9557) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9558) op(e2, e2) = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8379), (9558), (function-axioms) are
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9559) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9559) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9560) all_56_5 = e3 & op(e2, e1) = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9560) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9561) op(e2, e1) = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8419), (9561), (function-axioms) are
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9562) all_56_10 = e3 & op(e2, e0) = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9562) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9563) all_56_10 = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (145), (163),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (200), (214), (216), (223), (224),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (269), (8316), (8319),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (8326), (8328), (8372), (8379), (8387),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8413), (8419), (9392), (9539), (9548), (9551),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9563), (function-axioms) are inconsistent by
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #374.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9564) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9397), (9400), (9408), (9409), (9564) are
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #468.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9565) all_56_12 = e0 & op(e0, e3) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9565) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9566) all_56_12 = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (9567) op(e0, e3) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9568) all_54_8 = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9400), (9568) imply:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9569) all_36_0 = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9401), (9569) imply:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9570) ~ (all_52_1 = e3)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9403), (9569) imply:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9571) ~ (all_52_3 = e3)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9405), (9569) imply:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9572) ~ (all_52_6 = e3)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9407), (9569) imply:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9573) ~ (all_52_14 = e3)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9574) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9574) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9575) all_56_9 = e1 & op(e3, e0) = e1
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9575) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9576) all_56_9 = e1
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9577) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9577) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9578) all_56_0 = e2 & op(e3, e3) = e2
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9578) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9579) op(e3, e3) = e2
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (9579), (function-axioms) are
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9580) all_56_2 = e2 & op(e2, e3) = e2
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9580) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9581) all_56_2 = e2
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9582) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9582) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9583) all_56_9 = e3 & op(e3, e0) = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9576), (9583) are inconsistent by sub-proof
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1043.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9584) all_56_10 = e3 & op(e2, e0) = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9584) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9585) all_56_10 = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9586) all_54_9 = e3
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9572), (9586) are inconsistent by
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1254.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9587) ~ (all_54_9 = e3)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9588) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9589) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9589) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9590) all_56_0 = e0 & op(e3, e3) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9590) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9591) op(e3, e3) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9392), (9591), (function-axioms) are
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1387.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9592) all_56_1 = e0 & op(e3, e2) = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9592) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9593) all_56_1 = e0
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9594) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9594) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9595) all_56_6 = e1 & op(e1, e3) = e1
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9595) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9596) all_56_6 = e1
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (214), (216),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (8325), (8328), (9392),
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9539), (9596), (function-axioms) are inconsistent
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #407.
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9597) all_56_7 = e1 & op(e1, e2) = e1
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9597) implies:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9598) all_56_7 = e1
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9599) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.78/23.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (145), (164), (165), (196), (200), (223),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (8319), (8372), (8379), (8413), (9397),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9400), (9401), (9408), (9409), (9581), (9593),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9599), (function-axioms) are inconsistent by
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #372.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9600) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9600) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9601) all_56_7 = e2 & op(e1, e2) = e2
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9601) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9602) all_56_7 = e2
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9598), (9602) imply:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9603) e2 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (163), (165),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (233), (235), (8316), (8319),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328), (8379), (8387), (8419), (9392), (9581),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9603), (function-axioms) are inconsistent by
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #394.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9604) all_56_13 = e2 & op(e0, e2) = e2
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9604) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9605) all_56_13 = e2
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (228), (8379), (8387),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8419), (9581), (9585), (9593), (9598), (9605),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #375.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9606) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9606) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9607) all_56_8 = e1 & op(e1, e1) = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (163), (165),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (233), (235), (8316), (8319),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (8328), (8379), (8387), (8419), (9392),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9581), (9607), (function-axioms) are inconsistent
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #385.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9608) all_56_11 = e1 & op(e1, e0) = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9539), (9608) are inconsistent by sub-proof
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1410.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9609) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9609) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9610) all_56_4 = e0 & op(e3, e1) = e0
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9610) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9611) all_56_4 = e0
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9612) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9612) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9613) all_56_6 = e1 & op(e1, e3) = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9613) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9614) all_56_6 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (214), (216),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (8325), (8328), (9392),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9539), (9614), (function-axioms) are inconsistent
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #407.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9615) all_56_7 = e1 & op(e1, e2) = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9615) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9616) all_56_7 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9588) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9617) all_54_9 = e2
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8317), (9617) are inconsistent by
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1253.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9618) ~ (all_54_9 = e2)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9619) all_54_9 = e1 | all_54_9 = e0
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9620) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (8419), (9611), (9620),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #371.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9621) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9621) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9622) all_56_8 = e3 & op(e1, e1) = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9622) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9623) op(e1, e1) = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8326), (9623), (function-axioms) are
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9624) all_56_14 = e3 & op(e0, e1) = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9624) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9625) all_56_14 = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9626) all_54_4 = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (9626) imply:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9627) all_52_1 = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9570), (9627) imply:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9628) $false
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9628) is inconsistent.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9629) ~ (all_54_4 = e3)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9630) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9631) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9631) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9632) all_56_12 = e1 & op(e0, e3) = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9632) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9633) all_56_12 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (224), (229), (235),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8387), (8419), (9392), (9581), (9585), (9633),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #391.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9634) all_56_13 = e1 & op(e0, e2) = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9634) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9635) all_56_13 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9636) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9636) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9637) all_56_6 = e3 & op(e1, e3) = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9637) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9638) all_56_6 = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9639) op(e1, e3) = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9640) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9640) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9641) all_56_1 = e3 & op(e3, e2) = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9641) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9642) all_56_1 = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (91),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (125), (128), (139), (140), (145), (148),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (162), (164), (165), (169), (189), (190),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (192), (196), (200), (213), (214), (216),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (230), (232), (234), (236), (238), (239),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (247), (248), (249), (258), (269), (307),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (350), (361), (368), (8318), (8319), (8320),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (8326), (8328), (8372), (8373), (8379),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8413), (8415), (9391), (9392), (9397), (9400),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9401), (9408), (9409), (9539), (9540), (9571),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9581), (9616), (9619), (9630), (9638), (9639),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9642), (function-axioms) are inconsistent by
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #364.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9643) all_56_3 = e3 & op(e2, e2) = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9643) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9644) op(e2, e2) = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8379), (9644), (function-axioms) are
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9645) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9645) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9646) all_56_7 = e3 & op(e1, e2) = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9646) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9647) all_56_7 = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9616), (9647) imply:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9648) e3 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9648) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9649) e3 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9638), (9649) imply:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9650) all_56_6 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (214), (216),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (8325), (8328), (9392),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9539), (9650), (function-axioms) are inconsistent
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #407.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9651) all_56_13 = e3 & op(e0, e2) = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9651) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9652) all_56_13 = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9635), (9652) imply:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9653) e3 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9638), (9653) imply:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9654) all_56_6 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (214), (216),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (8325), (8328), (9392),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9539), (9654), (function-axioms) are inconsistent
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #407.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9655) all_56_7 = e3 & op(e1, e2) = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (8387), (8419), (9581),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9585), (9616), (9655), (function-axioms) are
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #433.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9656) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (8326), (9539), (9656),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #523.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9657) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9657) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9658) all_56_14 = e1 & op(e0, e1) = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9658) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9659) all_56_14 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9625), (9659) imply:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9660) e3 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (8387), (8419), (9581),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9585), (9660), (function-axioms) are inconsistent
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #396.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9661) all_56_15 = e1 & op(e0, e0) = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9661) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9662) all_56_15 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (91),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (125), (126), (128), (139), (140), (145),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (157), (162), (163), (164), (165), (169),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (195), (196),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (208), (209), (210), (211), (212), (213),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (220), (223), (224), (226), (227),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (233), (234), (235),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (246), (247), (248), (249),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (258), (269), (307), (350), (361), (368),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8316), (8317), (8318), (8319), (8320), (8321),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (8326), (8327), (8328), (8372), (8373),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8379), (8387), (8413), (8415), (8419), (9391),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9392), (9397), (9400), (9401), (9408), (9409),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9539), (9540), (9566), (9567), (9570), (9571),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9572), (9573), (9581), (9588), (9662),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #358.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9663) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9663) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9664) all_56_8 = e1 & op(e1, e1) = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (163), (165),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (229), (233), (235), (8316), (8319),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (8328), (8379), (8387), (8419), (9392),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9581), (9664), (function-axioms) are inconsistent
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #385.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9665) all_56_11 = e1 & op(e1, e0) = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9539), (9665) are inconsistent by sub-proof
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1410.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9666) all_56_9 = e0 & op(e3, e0) = e0
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9666) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9667) all_56_9 = e0
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9576), (9667) are inconsistent by sub-proof
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #880.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9668) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (45), (8327), (9539), (9668),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #882.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9669) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (216),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (9539), (9567), (9669), (function-axioms)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #408.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9670) all_56_10 = e1 & op(e2, e0) = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9670) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9671) all_56_10 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (165), (223), (224),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319), (8379), (8387), (8419), (9671),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #437.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9672) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9672) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9673) all_56_11 = e1 & op(e1, e0) = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9539), (9673) are inconsistent by sub-proof
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1420.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9674) all_56_15 = e1 & op(e0, e0) = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9674) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9675) all_56_15 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9676) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9676) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9677) all_56_0 = e2 & op(e3, e3) = e2
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9677) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9678) op(e3, e3) = e2
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (9678), (function-axioms) are
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9679) all_56_2 = e2 & op(e2, e3) = e2
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9679) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9680) all_56_2 = e2
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9681) all_54_9 = e3
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (9572), (9681) are inconsistent by
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1254.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9682) ~ (all_54_9 = e3)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9683) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (91),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (125), (126), (128), (139), (140), (145),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (157), (162), (163), (164), (165), (169),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (192), (193), (195), (196),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (208), (209), (210), (211), (212), (213),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (220), (223), (224), (226), (227),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (232), (233), (234), (235),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (239), (246), (247), (248), (249),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (250), (258), (269), (307), (350), (361), (368),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8316), (8317), (8318), (8319), (8320), (8321),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (8326), (8327), (8328), (8372), (8373),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8379), (8387), (8413), (8415), (8419), (9391),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9392), (9397), (9400), (9401), (9408), (9409),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9539), (9540), (9566), (9567), (9570), (9571),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9572), (9573), (9675), (9680), (9683),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #358.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9684) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (214), (216),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (9539), (9567), (9684), (function-axioms)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #408.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9685) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9397), (9400), (9408), (9409), (9685) are
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #468.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | (9686) ~ (all_36_1 = e2) & op(e1, e1) = all_36_1 &
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9686) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | (9687) ~ (all_36_1 = e2)
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | (9688) op(e1, e1) = all_36_1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8326), (9687), (9688), (function-axioms) are
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #889.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | (9689) all_56_10 = e1 & op(e2, e0) = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | ALPHA: (9689) implies:
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | (9690) all_56_10 = e1
% 160.78/23.65 | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (165), (223), (224),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | (8319), (8379), (8387), (8419), (9690),
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.65 | | | | | | | | | | | | | | | | | | | #437.
% 160.78/23.65 | | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | (9691) all_54_6 = e0
% 160.78/23.65 | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | COMBINE_EQS: (8392), (9691) imply:
% 160.78/23.65 | | | | | | | | | | | | | | | | | (9692) all_48_0 = e0
% 160.78/23.65 | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | REDUCE: (8400), (9692) imply:
% 160.78/23.65 | | | | | | | | | | | | | | | | | (9693) $false
% 160.78/23.65 | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | | CLOSE: (9693) is inconsistent.
% 160.78/23.65 | | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | (9694) ~ (all_48_1 = e0) & op(e2, e2) = all_48_1 &
% 160.78/23.65 | | | | | | | | | | | | | | $i(all_48_1)
% 160.78/23.65 | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | ALPHA: (9694) implies:
% 160.78/23.65 | | | | | | | | | | | | | | (9695) ~ (all_48_1 = e0)
% 160.78/23.65 | | | | | | | | | | | | | | (9696) op(e2, e2) = all_48_1
% 160.78/23.65 | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | | REF_CLOSE: (8379), (9695), (9696), (function-axioms) are
% 160.78/23.65 | | | | | | | | | | | | | | inconsistent by sub-proof #357.
% 160.78/23.65 | | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | End of split
% 160.78/23.65 | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | Case 2:
% 160.78/23.65 | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | (9697) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 160.78/23.65 | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 160.78/23.65 | | | | | | | | | | | |
% 160.78/23.65 | | | | | | | | | | | | REF_CLOSE: (158), (162), (8373), (8374), (9697),
% 160.78/23.66 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.66 | | | | | | | | | | | | #356.
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | |
% 160.78/23.66 | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | |
% 160.78/23.66 | | | | | | | | | (9698) all_16_2 = e3
% 160.78/23.66 | | | | | | | | |
% 160.78/23.66 | | | | | | | | | COMBINE_EQS: (328), (9698) imply:
% 160.78/23.66 | | | | | | | | | (9699) all_6_2 = e3
% 160.78/23.66 | | | | | | | | |
% 160.78/23.66 | | | | | | | | | COMBINE_EQS: (332), (9699) imply:
% 160.78/23.66 | | | | | | | | | (9700) all_38_2 = e3
% 160.78/23.66 | | | | | | | | |
% 160.78/23.66 | | | | | | | | | REDUCE: (348), (9699) imply:
% 160.78/23.66 | | | | | | | | | (9701) ~ (all_52_1 = e3)
% 160.78/23.66 | | | | | | | | |
% 160.78/23.66 | | | | | | | | | REDUCE: (351), (9699) imply:
% 160.78/23.66 | | | | | | | | | (9702) ~ (all_52_4 = e3)
% 160.78/23.66 | | | | | | | | |
% 160.78/23.66 | | | | | | | | | REDUCE: (355), (9699) imply:
% 160.78/23.66 | | | | | | | | | (9703) ~ (all_52_7 = e3)
% 160.78/23.66 | | | | | | | | |
% 160.78/23.66 | | | | | | | | | REDUCE: (357), (9699) imply:
% 160.78/23.66 | | | | | | | | | (9704) ~ (all_52_9 = e3)
% 160.78/23.66 | | | | | | | | |
% 160.78/23.66 | | | | | | | | | REDUCE: (359), (9699) imply:
% 160.78/23.66 | | | | | | | | | (9705) ~ (all_52_13 = e3)
% 160.78/23.66 | | | | | | | | |
% 160.78/23.66 | | | | | | | | | REDUCE: (39), (9699) imply:
% 160.78/23.66 | | | | | | | | | (9706) op(e2, e2) = e3
% 160.78/23.66 | | | | | | | | |
% 160.78/23.66 | | | | | | | | | BETA: splitting (224) gives:
% 160.78/23.66 | | | | | | | | |
% 160.78/23.66 | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | (9707) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 160.78/23.66 | | | | | | | | | | & op(e2, e2) = e3)
% 160.78/23.66 | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | BETA: splitting (9707) gives:
% 160.78/23.66 | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | (9708) all_56_2 = e3 & op(e2, e3) = e3
% 160.78/23.66 | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | ALPHA: (9708) implies:
% 160.78/23.66 | | | | | | | | | | | (9709) all_56_2 = e3
% 160.78/23.66 | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (165), (221), (223), (8312),
% 160.78/23.66 | | | | | | | | | | | (8319), (9706), (9709), (function-axioms) are
% 160.78/23.66 | | | | | | | | | | | inconsistent by sub-proof #352.
% 160.78/23.66 | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | (9710) all_56_3 = e3 & op(e2, e2) = e3
% 160.78/23.66 | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | ALPHA: (9710) implies:
% 160.78/23.66 | | | | | | | | | | | (9711) all_56_3 = e3
% 160.78/23.66 | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | BETA: splitting (8312) gives:
% 160.78/23.66 | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | (9712) ~ (all_8_0 = e0) & op(e2, e1) = all_8_0 &
% 160.78/23.66 | | | | | | | | | | | | $i(all_8_0)
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | ALPHA: (9712) implies:
% 160.78/23.66 | | | | | | | | | | | | (9713) ~ (all_8_0 = e0)
% 160.78/23.66 | | | | | | | | | | | | (9714) op(e2, e1) = all_8_0
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 160.78/23.66 | | | | | | | | | | | | all_8_0, e1, e2, simplifying with (165), (9714)
% 160.78/23.66 | | | | | | | | | | | | gives:
% 160.78/23.66 | | | | | | | | | | | | (9715) all_52_9 = all_8_0
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | COMBINE_EQS: (261), (9715) imply:
% 160.78/23.66 | | | | | | | | | | | | (9716) all_54_6 = all_8_0
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | REDUCE: (146), (9715) imply:
% 160.78/23.66 | | | | | | | | | | | | (9717) ~ (all_52_1 = all_8_0)
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | REDUCE: (123), (9715) imply:
% 160.78/23.66 | | | | | | | | | | | | (9718) ~ (all_52_8 = all_8_0)
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | REDUCE: (118), (9715) imply:
% 160.78/23.66 | | | | | | | | | | | | (9719) ~ (all_52_11 = all_8_0)
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | SIMP: (9719) implies:
% 160.78/23.66 | | | | | | | | | | | | (9720) ~ (all_52_11 = all_8_0)
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | REDUCE: (117), (9715) imply:
% 160.78/23.66 | | | | | | | | | | | | (9721) ~ (all_52_13 = all_8_0)
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | SIMP: (9721) implies:
% 160.78/23.66 | | | | | | | | | | | | (9722) ~ (all_52_13 = all_8_0)
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | REDUCE: (9704), (9715) imply:
% 160.78/23.66 | | | | | | | | | | | | (9723) ~ (all_8_0 = e3)
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | REDUCE: (8319), (9715) imply:
% 160.78/23.66 | | | | | | | | | | | | (9724) ~ (all_8_0 = e2)
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | BETA: splitting (198) gives:
% 160.78/23.66 | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | (9725) all_54_6 = e3
% 160.78/23.66 | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | REF_CLOSE: (9716), (9723), (9725) are inconsistent by
% 160.78/23.66 | | | | | | | | | | | | | sub-proof #351.
% 160.78/23.66 | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | (9726) ~ (all_54_6 = e3)
% 160.78/23.66 | | | | | | | | | | | | | (9727) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 160.78/23.66 | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | BETA: splitting (9727) gives:
% 160.78/23.66 | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | (9728) all_54_6 = e2
% 160.78/23.66 | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | REF_CLOSE: (9716), (9724), (9728) are inconsistent by
% 160.78/23.66 | | | | | | | | | | | | | | sub-proof #350.
% 160.78/23.66 | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | (9729) ~ (all_54_6 = e2)
% 160.78/23.66 | | | | | | | | | | | | | | (9730) all_54_6 = e1 | all_54_6 = e0
% 160.78/23.66 | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | BETA: splitting (9730) gives:
% 160.78/23.66 | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | (9731) all_54_6 = e1
% 160.78/23.66 | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | COMBINE_EQS: (9716), (9731) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | (9732) all_8_0 = e1
% 160.78/23.66 | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | SIMP: (9732) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | (9733) all_8_0 = e1
% 160.78/23.66 | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | REDUCE: (9717), (9733) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | (9734) ~ (all_52_1 = e1)
% 160.78/23.66 | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | REDUCE: (9718), (9733) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | (9735) ~ (all_52_8 = e1)
% 160.78/23.66 | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | REDUCE: (9720), (9733) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | (9736) ~ (all_52_11 = e1)
% 160.78/23.66 | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | REDUCE: (9722), (9733) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | (9737) ~ (all_52_13 = e1)
% 160.78/23.66 | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | REDUCE: (9723), (9733) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | (9738) ~ (e3 = e1)
% 160.78/23.66 | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | REDUCE: (9724), (9733) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | (9739) ~ (e2 = e1)
% 160.78/23.66 | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | REDUCE: (9714), (9733) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | (9740) op(e2, e1) = e1
% 160.78/23.66 | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 160.78/23.66 | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | (9741) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 160.78/23.66 | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | BETA: splitting (9741) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | (9742) all_56_2 = e1 & op(e2, e3) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | ALPHA: (9742) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | (9743) all_56_2 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 160.78/23.66 | | | | | | | | | | | | | | | | | (224), (8319), (9706), (9713), (9714), (9740),
% 160.78/23.66 | | | | | | | | | | | | | | | | | (9743), (function-axioms) are inconsistent by
% 160.78/23.66 | | | | | | | | | | | | | | | | | sub-proof #348.
% 160.78/23.66 | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | (9744) all_56_3 = e1 & op(e2, e2) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | ALPHA: (9744) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | (9745) all_56_3 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | COMBINE_EQS: (9711), (9745) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | (9746) e3 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | REDUCE: (8), (9746) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | (9747) $false
% 160.78/23.66 | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | CLOSE: (9747) is inconsistent.
% 160.78/23.66 | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | (9748) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 160.78/23.66 | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.78/23.66 | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | BETA: splitting (9748) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | (9749) all_56_5 = e1 & op(e2, e1) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | ALPHA: (9749) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | (9750) all_56_5 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | (9751) ~ (all_28_2 = e1)
% 160.78/23.66 | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | REDUCE: (315), (9751) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | (9752) ~ (all_14_2 = e1)
% 160.78/23.66 | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | (9753) ~ (all_30_2 = e2)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | REDUCE: (309), (9753) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | (9754) ~ (all_10_2 = e2)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | (9755) ~ (all_34_2 = e0)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | REDUCE: (313), (9755) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | (9756) ~ (all_14_2 = e0)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | (9757) all_54_0 = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (9757) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | (9758) all_14_2 = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (341), (9758) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | (9759) ~ (all_52_3 = e3)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (345), (9758) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | (9760) ~ (all_52_8 = e3)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (9758) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | (9761) op(e3, e3) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | (9762) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9762) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | (9763) all_56_4 = e3 & op(e3, e1) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9763) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | (9764) op(e3, e1) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9760), (9764), (function-axioms) are
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | (9765) all_56_5 = e3 & op(e2, e1) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9765) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | (9766) op(e2, e1) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9740), (9766), (function-axioms) are
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | (9767) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9767) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | (9768) all_56_8 = e3 & op(e1, e1) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9768) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | (9769) op(e1, e1) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8326), (9769), (function-axioms) are
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | (9770) all_56_14 = e3 & op(e0, e1) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9770) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | (9771) all_56_14 = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | (9772) op(e0, e1) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | (9773) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9773) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | (9774) all_56_4 = e0 & op(e3, e1) = e0
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9774) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | (9775) all_56_4 = e0
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (9776) all_54_2 = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (9776) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (9777) all_52_8 = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9760), (9777) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (9778) $false
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9778) is inconsistent.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (9779) ~ (all_54_2 = e3)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (9780) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9781) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9781) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9782) all_56_9 = e3 & op(e3, e0) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9782) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9783) all_56_9 = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9784) op(e3, e0) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9785) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9785) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9786) all_56_0 = e2 & op(e3, e3) = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9786) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9787) op(e3, e3) = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (9787), (function-axioms) are
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9788) all_56_1 = e2 & op(e3, e2) = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9788) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9789) all_56_1 = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9790) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9761), (9789), (9790),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #347.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9791) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9791) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9792) all_54_2 = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (9792) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9793) all_52_8 = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9760), (9793) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9794) $false
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9794) is inconsistent.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9780) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9795) all_54_2 = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (9795) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9796) all_52_8 = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8318), (9796) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9797) $false
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9797) is inconsistent.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9798) ~ (all_54_2 = e2)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9799) all_54_2 = e1 | all_54_2 = e0
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9799) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9800) all_54_2 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (9800) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9801) all_52_8 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9735), (9801) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9802) $false
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9802) is inconsistent.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9803) all_54_2 = e0
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (9803) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9804) all_52_8 = e0
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (9804) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9805) ~ (all_52_11 = e0)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9805) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9806) ~ (all_52_11 = e0)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9760), (9804) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9807) ~ (e3 = e0)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8318), (9804) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9808) ~ (e2 = e0)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9735), (9804) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9809) ~ (e1 = e0)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9810) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (121), (169), (190), (247), (8320), (9736),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740), (9806), (9810), (function-axioms) are
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #452.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9767) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9811) all_56_8 = e3 & op(e1, e1) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9811) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9812) op(e1, e1) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8326), (9812), (function-axioms) are
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9813) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9813) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9814) all_56_9 = e2 & op(e3, e0) = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9814) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9815) op(e3, e0) = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9784), (9815), (function-axioms) are
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1448.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9816) all_56_10 = e2 & op(e2, e0) = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9816) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9817) all_56_10 = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9818) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9818) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9819) all_56_0 = e1 & op(e3, e3) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9819) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9820) op(e3, e3) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9761), (9820), (function-axioms) are
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9821) all_56_1 = e1 & op(e3, e2) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9821) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9822) all_56_1 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9789), (9822) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9823) e2 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9817), (9823) imply:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9824) all_56_10 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (217),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (232), (8319), (8326),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706), (9713), (9714), (9740), (9750), (9761),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9771), (9775), (9783), (9789), (9806), (9824),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #341.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9825) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9825) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9826) all_56_4 = e1 & op(e3, e1) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (157), (217), (8326), (9750), (9806),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9826), (function-axioms) are inconsistent by
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #457.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9827) all_56_9 = e1 & op(e3, e0) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (8326), (9740), (9771),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775), (9783), (9827), (function-axioms) are
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #343.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9828) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9828) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9829) all_56_11 = e2 & op(e1, e0) = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9829) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9830) all_56_11 = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9831) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9831) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9832) all_56_9 = e1 & op(e3, e0) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (8326), (9740), (9771),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775), (9783), (9832), (function-axioms) are
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #343.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9833) all_56_10 = e1 & op(e2, e0) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9833) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9834) all_56_10 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (217),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (232), (8319), (8326),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706), (9713), (9714), (9740), (9750), (9761),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9771), (9775), (9783), (9789), (9806), (9834),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #341.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9835) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9835) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9836) all_56_11 = e1 & op(e1, e0) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9830), (9836) are inconsistent by sub-proof
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #460.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9837) all_56_15 = e1 & op(e0, e0) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9837) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9838) all_56_15 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9839) op(e0, e0) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9840) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9840) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9841) all_56_6 = e3 & op(e1, e3) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9841) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9842) all_56_6 = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9843) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9843) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9844) all_56_6 = e1 & op(e1, e3) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (8326), (9740), (9771),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775), (9842), (9844), (function-axioms) are
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #340.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9845) all_56_7 = e1 & op(e1, e2) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9845) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9846) all_56_7 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9847) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8319), (9706), (9713), (9714), (9740),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9761), (9847), (function-axioms) are inconsistent
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #339.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9848) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9848) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9849) all_56_6 = e1 & op(e1, e3) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (8326), (9740), (9771),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775), (9842), (9849), (function-axioms) are
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #340.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9850) all_56_12 = e1 & op(e0, e3) = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9850) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9851) all_56_12 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9852) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9852) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9853) all_56_0 = e2 & op(e3, e3) = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9853) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9854) op(e3, e3) = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (9854), (function-axioms) are
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9855) all_56_2 = e2 & op(e2, e3) = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9855) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9856) all_56_2 = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (217),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (232), (8319), (8326),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706), (9713), (9714), (9740), (9750), (9761),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9771), (9775), (9783), (9789), (9806), (9856),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #342.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9857) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9857) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9858) all_56_6 = e2 & op(e1, e3) = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9858) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9859) all_56_6 = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (9846), (9859) are inconsistent by
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1201.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9860) all_56_12 = e2 & op(e0, e3) = e2
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9851), (9860) are inconsistent by sub-proof
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #820.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9861) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8325), (9830), (9861) are inconsistent by
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #338.
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9862) all_56_7 = e3 & op(e1, e2) = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9862) implies:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9863) all_56_7 = e3
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9864) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 160.78/23.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9864) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9865) all_56_6 = e1 & op(e1, e3) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9865) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9866) all_56_6 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9867) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9867) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9868) all_56_0 = e1 & op(e3, e3) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9868) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9869) op(e3, e3) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9761), (9869), (function-axioms) are
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9870) all_56_1 = e1 & op(e3, e2) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9870) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9871) all_56_1 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9789), (9871) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9872) e2 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9830), (9872) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9873) all_56_11 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (213), (8326), (9863), (9866),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9873), (function-axioms) are inconsistent by
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #477.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9874) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9874) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9875) all_56_4 = e1 & op(e3, e1) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (157), (217), (8326), (9750), (9806),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9875), (function-axioms) are inconsistent by
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #457.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9876) all_56_9 = e1 & op(e3, e0) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (8326), (9740), (9771),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775), (9783), (9876), (function-axioms) are
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #343.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9877) all_56_7 = e1 & op(e1, e2) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9877) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9878) all_56_7 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9863), (9878) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9879) e3 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9879) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9880) e3 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9771), (9880) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9881) all_56_14 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (8326), (9740), (9775),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9881), (function-axioms) are inconsistent by
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #344.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9882) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8325), (9830), (9882) are inconsistent by
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #338.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9883) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9883) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9884) all_56_8 = e3 & op(e1, e1) = e3
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9884) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9885) op(e1, e1) = e3
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8326), (9885), (function-axioms) are
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9886) all_56_11 = e3 & op(e1, e0) = e3
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (206), (211), (9783),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9784), (9838), (9839), (9886), (function-axioms)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #336.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9887) all_56_15 = e2 & op(e0, e0) = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9887) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9888) op(e0, e0) = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (9754), (9888), (function-axioms) are
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1471.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9889) all_56_9 = e0 & op(e3, e0) = e0
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9783), (9889) are inconsistent by sub-proof
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #780.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9890) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (8318), (9784), (9890),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #335.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9891) all_56_10 = e3 & op(e2, e0) = e3
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (165), (221), (223), (8319),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706), (9713), (9714), (9891), (function-axioms)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #332.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9892) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9892) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9893) all_56_11 = e3 & op(e1, e0) = e3
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9893) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9894) all_56_11 = e3
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9895) op(e1, e0) = e3
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9780) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9896) all_54_2 = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (9896) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9897) all_52_8 = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8318), (9897) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9898) $false
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9898) is inconsistent.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9899) ~ (all_54_2 = e2)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9900) all_54_2 = e1 | all_54_2 = e0
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9900) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9901) all_54_2 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (9901) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9902) all_52_8 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9735), (9902) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9903) $false
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9903) is inconsistent.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9904) all_54_2 = e0
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (9904) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9905) all_52_8 = e0
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (9905) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9906) ~ (all_52_11 = e0)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9906) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9907) ~ (all_52_11 = e0)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9905) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9908) ~ (all_52_12 = e0)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9908) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9909) ~ (all_52_12 = e0)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9760), (9905) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9910) ~ (e3 = e0)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8318), (9905) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9911) ~ (e2 = e0)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9735), (9905) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9912) ~ (e1 = e0)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (9895) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9913) all_52_14 = e3
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (9913) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9914) ~ (all_52_6 = e3)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (9913) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9915) ~ (all_52_12 = e3)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (9913) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9916) ~ (all_10_2 = e3)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9917) ~ (all_40_2 = e1)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (307), (9917) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9918) ~ (all_10_2 = e1)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9919) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9919) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9920) all_56_9 = e1 & op(e3, e0) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9920) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9921) all_56_9 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9922) op(e3, e0) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (45), (51), (121), (128), (135), (136),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (158), (160), (165), (167), (169), (170),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (195), (197), (203), (213),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (220), (233), (234), (238), (239),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (247), (248), (258), (260), (272), (361),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (8318), (8319), (8320), (8325), (8326),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (8328), (9702), (9703), (9705), (9706),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9736), (9737), (9740), (9754), (9761), (9771),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9772), (9775), (9894), (9895), (9907), (9914),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9918), (9921), (9922), (function-axioms) are
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #327.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9923) all_56_10 = e1 & op(e2, e0) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9923) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9924) all_56_10 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8319), (9706), (9713), (9714), (9740),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9924), (function-axioms) are inconsistent by
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #326.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9925) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9925) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9926) all_56_11 = e1 & op(e1, e0) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9926) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9927) op(e1, e0) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (9895), (9927), (function-axioms) are
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1217.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9928) all_56_15 = e1 & op(e0, e0) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9928) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9929) all_56_15 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9930) op(e0, e0) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9931) all_56_15 = e0 & op(e0, e0) = e0
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9929), (9931) are inconsistent by sub-proof
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1026.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9932) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9932) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9933) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9933) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9934) all_56_9 = e0 & op(e3, e0) = e0
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9934) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9935) all_56_9 = e0
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9936) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9936) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9937) all_56_0 = e2 & op(e3, e3) = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9937) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9938) op(e3, e3) = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (9938), (function-axioms) are
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9939) all_56_1 = e2 & op(e3, e2) = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9939) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9940) all_56_1 = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9941) op(e3, e2) = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9942) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9942) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9943) all_56_9 = e2 & op(e3, e0) = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9935), (9943) are inconsistent by sub-proof
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #884.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9944) all_56_10 = e2 & op(e2, e0) = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9944) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9945) all_56_10 = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9946) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9946) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9947) all_56_0 = e1 & op(e3, e3) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9947) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9948) op(e3, e3) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9761), (9948), (function-axioms) are
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9949) all_56_1 = e1 & op(e3, e2) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9949) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9950) all_56_1 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9940), (9950) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9951) e2 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9945), (9951) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9952) all_56_10 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8319), (9706), (9713), (9714), (9740),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9952), (function-axioms) are inconsistent by
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #326.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9953) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9953) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9954) all_56_4 = e1 & op(e3, e1) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (157), (217), (8326), (9750), (9907),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9954), (function-axioms) are inconsistent by
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #457.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9955) all_56_9 = e1 & op(e3, e0) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9955) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9956) op(e3, e0) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (51), (121), (128), (135), (136),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (158), (160), (165), (167), (169), (170),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (195), (197), (203), (213),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (220), (233), (238), (239), (246),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (248), (258), (260), (272), (361), (370),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319), (8320), (8325), (8326), (8327), (8328),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9702), (9703), (9705), (9706), (9736), (9737),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740), (9754), (9761), (9771), (9772), (9775),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9894), (9895), (9907), (9914), (9918), (9941),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9956), (function-axioms) are inconsistent by
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #328.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9957) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9894), (9930), (9957),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #325.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9958) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (169), (8318), (9935), (9958),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #430.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9959) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9959) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9960) all_56_10 = e0 & op(e2, e0) = e0
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9960) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9961) all_56_10 = e0
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9962) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9962) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9963) all_56_2 = e2 & op(e2, e3) = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9963) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9964) all_56_2 = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9965) op(e2, e3) = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9966) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9966) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9967) all_56_9 = e2 & op(e3, e0) = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9967) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9968) op(e3, e0) = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9969) all_54_15 = e3
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8327), (9969) are inconsistent by
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9970) ~ (all_54_15 = e3)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9971) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9971) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9972) all_54_15 = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9754), (9972) are inconsistent by
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9973) ~ (all_54_15 = e2)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9974) all_54_15 = e1 | all_54_15 = e0
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9975) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9975) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9976) all_56_0 = e1 & op(e3, e3) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9976) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9977) op(e3, e3) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9761), (9977), (function-axioms) are
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9978) all_56_1 = e1 & op(e3, e2) = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9978) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9979) all_56_1 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9974) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9980) all_54_15 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9918), (9980) are inconsistent by
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1213.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9981) all_54_15 = e0
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (9981) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9982) all_10_2 = e0
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9982) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9983) all_10_2 = e0
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (9983) imply:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9984) ~ (all_52_7 = e0)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9985) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8319), (9706), (9713), (9714), (9740),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9964), (9979), (9985), (function-axioms) are
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #323.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9986) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9986) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9987) all_56_7 = e2 & op(e1, e2) = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9987) implies:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9988) all_56_7 = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9989) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9989) gives:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9990) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (8326), (8327), (9965), (9990),
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #322.
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9991) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 160.78/23.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9991) gives:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9992) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9992) gives:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9993) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9993) implies:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9994) op(e3, e2) = e3
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9702), (9994), (function-axioms) are
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1394.
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9995) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9995) implies:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9996) op(e0, e0) = e2
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (210), (212),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (221), (8325), (8326),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (9706), (9713), (9714), (9964), (9988),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9996), (function-axioms) are inconsistent by
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #319.
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9997) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9997) gives:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9998) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9998) implies:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9999) op(e3, e3) = e2
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (9999), (function-axioms) are
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10000) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10000) gives:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10001) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10001) implies:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10002) op(e0, e0) = e2
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (210), (212),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (221), (8325), (8326),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (9706), (9713), (9714), (9964), (9988),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10002), (function-axioms) are inconsistent by
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #319.
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10003) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10003) implies:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10004) op(e2, e2) = e1
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9706), (10004), (function-axioms) are
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10005) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10005) gives:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10006) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (121), (165), (169), (190), (236),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (8319), (8320), (9736), (9775), (9907),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9968), (9979), (10006), (function-axioms) are
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #318.
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10007) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10007) gives:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10008) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (160), (236), (9775), (9895),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9968), (9979), (10008), (function-axioms) are
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #317.
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10009) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10009) gives:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10010) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10010) implies:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10011) op(e1, e1) = e0
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (10011), (function-axioms) are
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10012) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10012) gives:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10013) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10013) implies:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10014) op(e2, e2) = e0
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9706), (10014), (function-axioms) are
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10015) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10015) implies:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10016) op(e0, e0) = all_57_31
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10017) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (51), (158), (8326), (8328), (9706),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9930), (9965), (9984), (10016), (10017),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #314.
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10018) all_56_13 = e2 & op(e0, e2) = e2
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10018) implies:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10019) all_56_13 = e2
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10020) op(e0, e2) = e2
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10021) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10021) gives:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10022) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (8326), (8327), (9965), (10022),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #322.
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10023) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (165),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (207), (209), (217), (220), (221),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (8319), (8326), (8327), (8328),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9702), (9706), (9713), (9714), (9740), (9964),
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10019), (10020), (10023), (function-axioms) are
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #309.
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10024) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10024) gives:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10025) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (121), (165), (169), (190), (236),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (8319), (8320), (9736), (9775), (9907),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9968), (9979), (10025), (function-axioms) are
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #318.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10026) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10026) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10027) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (160), (236), (9775), (9895),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9968), (9979), (10027), (function-axioms) are
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #317.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10028) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10028) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10029) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10029) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10030) op(e1, e1) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (10030), (function-axioms) are
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10031) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10031) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10032) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10032) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10033) op(e2, e2) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9706), (10033), (function-axioms) are
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10034) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10034) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10035) op(e0, e0) = all_57_31
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10036) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (51), (158), (8326), (8328), (9706),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9930), (9965), (9984), (10035), (10036),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #314.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10037) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10037) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10038) all_56_4 = e1 & op(e3, e1) = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (157), (217), (8326), (9750), (9907),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10038), (function-axioms) are inconsistent by
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #457.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10039) all_56_9 = e1 & op(e3, e0) = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10039) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10040) all_56_9 = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10041) op(e3, e0) = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (45), (51), (121), (128), (135), (136),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (158), (160), (165), (167), (169), (170),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (190), (191), (195), (197), (203), (213),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (216), (220), (233), (234), (238), (239),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (247), (248), (258), (260), (272), (361),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (8318), (8319), (8320), (8325), (8326),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (8328), (9702), (9703), (9705), (9706),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9736), (9737), (9740), (9754), (9761), (9771),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9772), (9775), (9894), (9895), (9907), (9914),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9918), (10040), (10041), (function-axioms) are
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #327.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10042) all_56_10 = e2 & op(e2, e0) = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9961), (10042) are inconsistent by sub-proof
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #308.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10043) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9894), (9930), (10043),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #325.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10044) all_56_3 = e2 & op(e2, e2) = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10044) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10045) op(e2, e2) = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9706), (10045), (function-axioms) are
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10046) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10046) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10047) all_56_5 = e2 & op(e2, e1) = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10047) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10048) op(e2, e1) = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8319), (10048), (function-axioms) are
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10049) all_56_10 = e2 & op(e2, e0) = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9961), (10049) are inconsistent by sub-proof
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #308.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10050) all_56_11 = e0 & op(e1, e0) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10050) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10051) all_56_11 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9894), (10051) are inconsistent by sub-proof
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1445.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10052) all_40_2 = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (10052) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10053) all_10_2 = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10053) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10054) all_10_2 = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (10054) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10055) ~ (all_52_3 = e1)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (10054) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10056) ~ (all_52_12 = e1)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10057) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10057) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10058) all_56_9 = e1 & op(e3, e0) = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10058) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10059) all_56_9 = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (133), (169), (170), (201), (234), (270),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318), (8328), (9909), (9915), (10056), (10059),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1061.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10060) all_56_10 = e1 & op(e2, e0) = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10060) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10061) all_56_10 = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10062) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10062) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10063) all_56_2 = e2 & op(e2, e3) = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10063) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10064) all_56_2 = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10065) all_56_15 = e0 & op(e0, e0) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10065) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10066) op(e0, e0) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10067) all_54_3 = e3
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10067) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10068) all_52_12 = e3
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9915), (10068) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10069) $false
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10069) is inconsistent.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10070) ~ (all_54_3 = e3)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10071) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10071) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10072) all_54_3 = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10072) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10073) all_52_12 = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10073) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10074) ~ (all_52_4 = e2)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10073) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10075) ~ (all_52_13 = e2)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10075) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10076) ~ (all_52_13 = e2)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9915), (10073) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10077) ~ (e3 = e2)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10078) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10078) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10079) all_56_9 = e2 & op(e3, e0) = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10079) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10080) all_56_9 = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10081) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10081) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10082) all_56_0 = e1 & op(e3, e3) = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10082) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10083) op(e3, e3) = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9761), (10083), (function-axioms) are
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10084) all_56_1 = e1 & op(e3, e2) = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10084) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10085) all_56_1 = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10086) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10086) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10087) all_56_2 = e0 & op(e2, e3) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10087) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10088) all_56_2 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10064), (10088) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10089) e2 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10089) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10090) e2 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10080), (10090) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10091) all_56_9 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (51), (133), (169), (170), (234), (270),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318), (8328), (9909), (10056), (10071), (10091),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #429.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10092) all_56_3 = e0 & op(e2, e2) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10092) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10093) all_56_3 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (9740), (10061), (10064),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10093), (function-axioms) are inconsistent by
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #450.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10094) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10094) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10095) all_56_5 = e0 & op(e2, e1) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10095) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10096) op(e2, e1) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9713), (9714), (10096), (function-axioms) are
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #534.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10097) all_56_10 = e0 & op(e2, e0) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10097) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10098) all_56_10 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10061), (10098) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10099) e1 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10099) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10100) e1 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10085), (10100) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10101) all_56_1 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10081) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10102) all_56_0 = e1 & op(e3, e3) = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10102) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10103) op(e3, e3) = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9761), (10103), (function-axioms) are
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1313.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10084), (10101) are inconsistent by
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #307.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10104) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (51), (157), (169), (170), (217),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (8318), (8326), (8328), (9750), (9907),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10074), (10104), (function-axioms) are
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #306.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10105) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (51), (157), (169), (170), (217),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (8318), (8326), (8328), (9750), (9907),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10074), (10105), (function-axioms) are
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #306.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10106) all_56_10 = e2 & op(e2, e0) = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10106) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10107) op(e2, e0) = e2
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10076), (10107), (function-axioms) are
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10108) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (9894), (10066), (10108),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #305.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10109) all_54_3 = e1 | all_54_3 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9909), (10056), (10109) are inconsistent
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1248.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10110) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10110) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10111) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10111) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10112) all_56_9 = e0 & op(e3, e0) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10112) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10113) all_56_9 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (51), (133), (169), (170), (201), (234),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (8318), (8328), (9909), (9915), (10056),
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10113), (function-axioms) are inconsistent by
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #428.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10114) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10114) gives:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10115) all_56_10 = e0 & op(e2, e0) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10115) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10116) all_56_10 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10061), (10116) are inconsistent by
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1099.
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10117) all_56_11 = e0 & op(e1, e0) = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10117) implies:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10118) all_56_11 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9894), (10118) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10119) e3 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9711), (10119) imply:
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10120) all_56_3 = e0
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (224), (9740), (10061), (10064),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10120), (function-axioms) are inconsistent by
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #450.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10121) all_56_3 = e2 & op(e2, e2) = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10121) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10122) op(e2, e2) = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9706), (10122), (function-axioms) are
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10123) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (164), (165), (201), (270), (8319), (9909),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9915), (10056), (10123), (function-axioms) are
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #304.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10124) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10124) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10125) all_56_11 = e1 & op(e1, e0) = e1
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10125) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10126) op(e1, e0) = e1
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (9895), (10126), (function-axioms) are
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1217.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10127) all_56_15 = e1 & op(e0, e0) = e1
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10127) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10128) all_56_15 = e1
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10129) op(e0, e0) = e1
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10130) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10130) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10131) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10131) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10132) (all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10133) (all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10134) all_56_15 = e0 & op(e0, e0) = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10134) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10135) all_56_15 = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10128), (10135) are inconsistent by
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1419.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10136) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10136) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10137) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10138) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10138) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10139) all_56_9 = e0 & op(e3, e0) = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10139) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10140) all_56_9 = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (51), (133), (169), (170), (201), (234),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (8318), (8328), (9909), (9915), (10056),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10140), (function-axioms) are inconsistent by
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #428.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10141) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10141) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10142) all_56_10 = e0 & op(e2, e0) = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10142) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10143) all_56_10 = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10144) all_54_3 = e3
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10144) imply:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10145) all_52_12 = e3
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9915), (10145) imply:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10146) $false
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10146) is inconsistent.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10147) ~ (all_54_3 = e3)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10148) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10148) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10149) all_54_3 = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10149) imply:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10150) all_52_12 = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10150) imply:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10151) ~ (all_52_4 = e2)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10150) imply:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10152) ~ (all_52_13 = e2)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10152) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10153) ~ (all_52_13 = e2)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9915), (10150) imply:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10154) ~ (e3 = e2)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10155) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10155) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10156) all_56_9 = e2 & op(e3, e0) = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10156) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10157) all_56_9 = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10158) op(e3, e0) = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10159) all_54_7 = e3
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9705), (10159) are inconsistent by
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #891.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10160) ~ (all_54_7 = e3)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10161) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10161) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10162) all_54_7 = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10153), (10162) are inconsistent by
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1353.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10163) ~ (all_54_7 = e2)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10164) all_54_7 = e1 | all_54_7 = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10164) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10165) all_54_7 = e1
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9737), (10165) are inconsistent by
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10166) all_54_7 = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10166) imply:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10167) all_52_13 = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10167) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10168) all_52_13 = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10168) imply:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10169) ~ (all_52_1 = e0)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10170) all_54_4 = e3
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (10170) imply:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10171) all_52_1 = e3
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9701), (10171) imply:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10172) $false
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10172) is inconsistent.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10173) ~ (all_54_4 = e3)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10174) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10174) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10175) all_54_4 = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (10175) imply:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10176) all_52_1 = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (10176) imply:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10177) ~ (all_52_3 = e2)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10177) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10178) ~ (all_52_3 = e2)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10179) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10179) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10180) all_56_0 = e2 & op(e3, e3) = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10180) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10181) op(e3, e3) = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (10181), (function-axioms) are
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10182) all_56_2 = e2 & op(e2, e3) = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10182) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10183) all_56_2 = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10184) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (9706), (10151), (10184),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #557.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10185) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10185) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10186) all_56_7 = e2 & op(e1, e2) = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10186) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10187) all_56_7 = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (121),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (139), (140), (145), (148), (157), (158),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (170), (190), (192), (200),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (212), (214), (217), (220),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (229), (231), (232),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (247), (249), (269), (270), (8318),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319), (8320), (8325), (8326), (8327), (8328),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701), (9706), (9713), (9714), (9734), (9736),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740), (9750), (9759), (9761), (9775), (9894),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9907), (9909), (10055), (10056), (10137),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10143), (10148), (10151), (10157), (10158),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10169), (10183), (10187), (function-axioms) are
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #302.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188) all_56_13 = e2 & op(e0, e2) = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10188) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189) all_56_13 = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190) op(e0, e2) = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10191) all_54_12 = e3
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (9759), (10191) are inconsistent by
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #864.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10192) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10193) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (165),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (207), (209), (217), (220), (221),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (8319), (8326), (8327), (8328),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9702), (9706), (9713), (9714), (9740), (10132),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10133), (10183), (10189), (10190), (10193),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #301.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10194) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10194) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10195) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (113), (121), (139), (145), (165), (168),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (189), (190), (197), (201), (246), (247),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (260), (269), (270), (369), (370), (8319),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8320), (8327), (9705), (9734), (9736), (9737),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9754), (9761), (9915), (10055), (10169), (10174),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10178), (10192), (10195), (function-axioms) are
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #297.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10196) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10196) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (145), (160), (164), (269), (9734), (9895),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10169), (10174), (10197), (function-axioms) are
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #296.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10198) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10198) gives:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10199) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10199) implies:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10200) op(e2, e0) = e2
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (9734), (10169), (10174),
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10200), (function-axioms) are inconsistent by
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10201) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10201) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10202) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10202) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10203) op(e2, e2) = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (145), (164), (165), (200),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (269), (8319), (9701), (9734),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740), (10143), (10169), (10203),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #402.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10204) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (51), (8326), (8328), (10129), (10133),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10204), (function-axioms) are
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #295.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10205) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10205) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10206) all_56_6 = e2 & op(e1, e3) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10206) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10207) all_56_6 = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (9894), (10207) are inconsistent by
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1200.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10208) all_56_12 = e2 & op(e0, e3) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10208) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10209) all_56_12 = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10210) op(e0, e3) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (135),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (157), (158), (162), (164), (165), (169),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (203), (204), (217), (223), (229), (231),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (236), (238), (239), (269), (272), (279),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (343), (345), (8318), (8319), (8326), (8327),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328), (9734), (9750), (9752), (9754), (9756),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9761), (9907), (10151), (10153), (10157),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10158), (10169), (10174), (10209), (10210),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #294.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10211) all_54_4 = e1 | all_54_4 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9734), (10169), (10211) are inconsistent
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #899.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10212) all_56_10 = e2 & op(e2, e0) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10212) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10213) op(e2, e0) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10153), (10213), (function-axioms) are
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10214) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9894), (10129), (10214),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #337.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10215) all_54_3 = e1 | all_54_3 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9909), (10056), (10215) are inconsistent
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1248.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10216) all_56_11 = e0 & op(e1, e0) = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10216) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10217) all_56_11 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9894), (10217) are inconsistent by sub-proof
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1445.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10218) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10218) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10219) op(e2, e2) = all_57_28
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10220) (all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10220) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10221) all_57_20 = e1 & op(e1, e2) = e1
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10221) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10222) op(e1, e2) = e1
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10223) all_56_15 = e0 & op(e0, e0) = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10223) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10224) all_56_15 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10128), (10224) are inconsistent by
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1419.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10225) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10225) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10226) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10227) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10227) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10228) all_56_9 = e0 & op(e3, e0) = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10228) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10229) all_56_9 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (51), (133), (169), (170), (201), (234),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (8318), (8328), (9909), (9915), (10056),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10229), (function-axioms) are inconsistent by
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #428.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10230) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10230) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10231) all_56_10 = e0 & op(e2, e0) = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10231) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10232) all_56_10 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10233) all_54_3 = e3
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10233) imply:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10234) all_52_12 = e3
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9915), (10234) imply:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10235) $false
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10235) is inconsistent.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10236) ~ (all_54_3 = e3)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10237) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10237) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10238) all_54_3 = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10238) imply:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10239) all_52_12 = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10239) imply:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10240) ~ (all_52_4 = e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10239) imply:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10241) ~ (all_52_13 = e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10241) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10242) ~ (all_52_13 = e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9915), (10239) imply:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10243) ~ (e3 = e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10244) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10244) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10245) all_56_9 = e2 & op(e3, e0) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10245) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10246) all_56_9 = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10247) op(e3, e0) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10248) all_54_7 = e3
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9705), (10248) are inconsistent by
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #891.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10249) ~ (all_54_7 = e3)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10250) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10250) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10251) all_54_7 = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10242), (10251) are inconsistent by
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1353.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10252) ~ (all_54_7 = e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10253) all_54_7 = e1 | all_54_7 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10253) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10254) all_54_7 = e1
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9737), (10254) are inconsistent by
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10255) all_54_7 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10255) imply:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10256) all_52_13 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10256) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10257) all_52_13 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10257) imply:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10258) ~ (all_52_1 = e0)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10259) all_54_4 = e3
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (10259) imply:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10260) all_52_1 = e3
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9701), (10260) imply:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10261) $false
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10261) is inconsistent.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10262) ~ (all_54_4 = e3)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10263) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10263) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10264) all_54_4 = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (10264) imply:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10265) all_52_1 = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (10265) imply:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10266) ~ (all_52_3 = e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10266) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10267) ~ (all_52_3 = e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10268) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10268) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10269) all_56_0 = e2 & op(e3, e3) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10269) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10270) op(e3, e3) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (10270), (function-axioms) are
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10271) all_56_2 = e2 & op(e2, e3) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10271) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10272) all_56_2 = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10273) op(e2, e3) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10274) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10274) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10275) all_56_1 = e2 & op(e3, e2) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10275) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10276) op(e3, e2) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10240), (10276), (function-axioms) are
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1463.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10277) all_56_3 = e2 & op(e2, e2) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10277) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10278) op(e2, e2) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9706), (10219), (10278), (function-axioms)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #767.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10279) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10279) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10280) all_56_7 = e2 & op(e1, e2) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10280) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10281) all_56_7 = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (121),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (139), (140), (145), (148), (157), (158),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (170), (190), (192), (200),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (212), (214), (217), (220),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (229), (231), (232),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (247), (249), (269), (270), (8318),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319), (8320), (8325), (8326), (8327), (8328),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701), (9706), (9713), (9714), (9734), (9736),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740), (9750), (9759), (9761), (9775), (9894),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9907), (9909), (10055), (10056), (10226),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10232), (10237), (10240), (10246), (10247),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10258), (10272), (10281), (function-axioms) are
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #302.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10282) all_56_13 = e2 & op(e0, e2) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10282) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10283) all_56_13 = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10284) op(e0, e2) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10285) all_54_12 = e3
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (249), (9759), (10285) are inconsistent by
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #864.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10286) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10287) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10287) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10288) all_56_1 = e0 & op(e3, e2) = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10288) implies:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10289) all_56_1 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10290) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10290) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10291) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (8326), (8327), (10273), (10291),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #322.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10292) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (165),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (207), (209), (217), (220), (221),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (8319), (8326), (8327), (8328),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9702), (9706), (9713), (9714), (9740), (10272),
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10283), (10284), (10292), (function-axioms) are
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #309.
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10293) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10293) gives:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10294) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (113), (121), (139), (145), (165), (168),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (189), (190), (197), (201), (246), (247),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (249), (260), (269), (270), (369), (370), (8319),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8320), (8327), (9705), (9734), (9736), (9737),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9754), (9761), (9915), (10055), (10258), (10263),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10267), (10286), (10294), (function-axioms) are
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #297.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10295) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10295) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10296) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (145), (160), (164), (269), (9734), (9895),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10258), (10263), (10296), (function-axioms) are
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #296.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10297) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10297) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10298) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10298) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10299) op(e2, e0) = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (9734), (10258), (10263),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10299), (function-axioms) are inconsistent by
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10300) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10300) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10301) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10301) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10302) op(e2, e2) = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (226), (228), (10283),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10289), (10302), (function-axioms) are
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1008.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10303) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10303) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10304) op(e0, e0) = all_57_31
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10305) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (9), (51), (8326), (8328), (9706),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10129), (10273), (10284), (10304), (10305),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #293.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10306) all_56_3 = e0 & op(e2, e2) = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10306) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10307) op(e2, e2) = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (145), (164), (165), (200),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (269), (8319), (9701), (9734),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740), (10232), (10258), (10307),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #402.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10308) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10308) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10309) all_56_7 = e0 & op(e1, e2) = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10309) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10310) op(e1, e2) = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10222), (10310), (function-axioms) are
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1110.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10311) all_56_13 = e0 & op(e0, e2) = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10311) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10312) op(e0, e2) = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10284), (10312), (function-axioms) are
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #819.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10313) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10313) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10314) all_56_6 = e2 & op(e1, e3) = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10314) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10315) all_56_6 = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (9894), (10315) are inconsistent by
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1200.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10316) all_56_12 = e2 & op(e0, e3) = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10316) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10317) all_56_12 = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10318) op(e0, e3) = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (135),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (157), (158), (162), (164), (165), (169),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (203), (204), (217), (223), (229), (231),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (236), (238), (239), (269), (272), (279),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (343), (345), (8318), (8319), (8326), (8327),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328), (9734), (9750), (9752), (9754), (9756),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9761), (9907), (10240), (10242), (10246),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10247), (10258), (10263), (10317), (10318),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #294.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10319) all_54_4 = e1 | all_54_4 = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9734), (10258), (10319) are inconsistent
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #899.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10320) all_56_10 = e2 & op(e2, e0) = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10320) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10321) op(e2, e0) = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10242), (10321), (function-axioms) are
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10322) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9894), (10129), (10322),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #337.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10323) all_54_3 = e1 | all_54_3 = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9909), (10056), (10323) are inconsistent
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1248.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10324) all_56_11 = e0 & op(e1, e0) = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10324) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10325) all_56_11 = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9894), (10325) are inconsistent by sub-proof
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1445.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10326) ~ (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10326) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10327) ~ (all_57_30 = e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10328) op(e1, e1) = all_57_30
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8326), (10327), (10328), (function-axioms) are
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1397.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10329) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10329) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10330) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10330) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10331) (all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9907), (10129), (10331), (function-axioms)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #689.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10332) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10332) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10333) (all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10334) all_56_15 = e0 & op(e0, e0) = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10334) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10335) all_56_15 = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10128), (10335) are inconsistent by
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1419.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10336) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10336) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10337) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10338) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10338) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10339) all_56_9 = e0 & op(e3, e0) = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10339) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10340) all_56_9 = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (51), (133), (169), (170), (201), (234),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (8318), (8328), (9909), (9915), (10056),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10340), (function-axioms) are inconsistent by
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #428.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10341) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10341) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10342) all_56_10 = e0 & op(e2, e0) = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10342) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10343) all_56_10 = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10344) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10344) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10345) all_56_2 = e2 & op(e2, e3) = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10345) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10346) all_56_2 = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10347) op(e2, e3) = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10348) all_54_3 = e3
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10348) imply:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10349) all_52_12 = e3
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9915), (10349) imply:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10350) $false
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10350) is inconsistent.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10351) ~ (all_54_3 = e3)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10352) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10352) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10353) all_54_3 = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10353) imply:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10354) all_52_12 = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10354) imply:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10355) ~ (all_52_4 = e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (10354) imply:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10356) ~ (all_52_13 = e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10356) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10357) ~ (all_52_13 = e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9915), (10354) imply:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10358) ~ (e3 = e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10359) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (9706), (10355), (10359),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #557.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10360) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10360) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10361) all_56_7 = e2 & op(e1, e2) = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10361) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10362) all_56_7 = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10363) all_54_7 = e3
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9705), (10363) are inconsistent by
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #891.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10364) ~ (all_54_7 = e3)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10365) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10366) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (170), (8328), (10355), (10366),
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1462.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10367) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10367) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10368) all_56_4 = e2 & op(e3, e1) = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10368) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10369) op(e3, e1) = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8318), (10369), (function-axioms) are
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10370) all_56_9 = e2 & op(e3, e0) = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10370) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10371) all_56_9 = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10372) op(e3, e0) = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10365) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10373) all_54_7 = e2
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10357), (10373) are inconsistent by
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1353.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10374) ~ (all_54_7 = e2)
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10375) all_54_7 = e1 | all_54_7 = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10375) gives:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10376) all_54_7 = e1
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9737), (10376) are inconsistent by
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10377) all_54_7 = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10377) imply:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10378) all_52_13 = e0
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10378) implies:
% 160.78/23.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10379) all_52_13 = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10379) imply:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10380) ~ (all_52_1 = e0)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (121),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (139), (140), (145), (148), (157), (158),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (170), (190), (192), (200),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (210), (212), (214), (217), (220),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (225), (229), (231), (232),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (247), (249), (269), (270), (8318),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319), (8320), (8325), (8326), (8327), (8328),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701), (9706), (9713), (9714), (9734), (9736),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740), (9750), (9759), (9761), (9775), (9894),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9907), (9909), (10055), (10056), (10337),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10343), (10346), (10352), (10355), (10362),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10371), (10372), (10380), (function-axioms) are
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #302.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10381) all_56_13 = e2 & op(e0, e2) = e2
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10381) implies:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10382) all_56_13 = e2
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10383) op(e0, e2) = e2
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10384) all_54_7 = e3
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9705), (10384) are inconsistent by
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #891.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10385) ~ (all_54_7 = e3)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10386) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10386) gives:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10387) all_54_7 = e2
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (10357), (10387) are inconsistent by
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1353.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10388) ~ (all_54_7 = e2)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10389) all_54_7 = e1 | all_54_7 = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10389) gives:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10390) all_54_7 = e1
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (9737), (10390) are inconsistent by
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10391) all_54_7 = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10391) imply:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10392) all_52_13 = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10392) implies:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10393) all_52_13 = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10393) imply:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10394) ~ (all_52_1 = e0)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10395) all_54_4 = e3
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9701), (10395) are inconsistent by
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1370.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10396) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10397) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10397) gives:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10398) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (8326), (8327), (10347), (10398),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #322.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10399) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (165),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (206), (207), (209), (217), (220), (221),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (8319), (8326), (8327), (8328),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9702), (9706), (9713), (9714), (9740), (10346),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10382), (10383), (10399), (function-axioms) are
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #309.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10400) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10400) gives:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10401) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10401) gives:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10402) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (121), (169), (190), (247), (8320), (9736),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9761), (9907), (10402), (function-axioms) are
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #330.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10403) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (145), (165), (168), (189), (197), (201),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (260), (269), (270), (369), (370), (8319),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (9705), (9734), (9737), (9754), (9915),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10394), (10396), (10403), (function-axioms) are
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #298.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10404) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10404) gives:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10405) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (145), (160), (164), (269), (9734), (9895),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10394), (10396), (10405), (function-axioms) are
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #296.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10406) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10406) gives:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10407) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10407) implies:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10408) op(e2, e0) = e2
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (9734), (10394), (10396),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10408), (function-axioms) are inconsistent by
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10409) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10409) gives:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10410) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10410) implies:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10411) all_57_28 = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10333), (10357), (10411),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #724.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10412) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10412) implies:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10413) op(e0, e0) = all_57_31
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10414) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (9), (51), (8326), (8328), (9706),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10129), (10347), (10383), (10413), (10414),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #293.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10415) all_54_3 = e1 | all_54_3 = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (9909), (10056), (10415) are inconsistent
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1248.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10416) all_56_3 = e2 & op(e2, e2) = e2
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10416) implies:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10417) op(e2, e2) = e2
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9706), (10417), (function-axioms) are
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10418) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (164), (165), (201), (270), (8319), (9909),
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9915), (10056), (10418), (function-axioms) are
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #304.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10419) all_56_11 = e0 & op(e1, e0) = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10419) implies:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10420) all_56_11 = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9894), (10420) are inconsistent by sub-proof
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1445.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10421) all_56_15 = e3 & op(e0, e0) = e3
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10421) implies:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10422) op(e0, e0) = e3
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (10422), (function-axioms) are
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | (10423) all_56_5 = e0 & op(e2, e1) = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10423) implies:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | (10424) op(e2, e1) = e0
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9713), (9714), (10424), (function-axioms) are
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #534.
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | (10425) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10425) gives:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | (10426) all_56_8 = e0 & op(e1, e1) = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10426) implies:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | (10427) op(e1, e1) = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (10427), (function-axioms) are
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | (10428) all_56_14 = e0 & op(e0, e1) = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10428) implies:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | (10429) op(e0, e1) = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (157), (202), (271), (8318), (9735),
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | (9760), (10429), (function-axioms) are
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #444.
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | (10430) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (8328), (9752), (9756), (10430) are
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1229.
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | (10431) all_34_2 = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (10431) imply:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | (10432) all_14_2 = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | SIMP: (10432) implies:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | (10433) all_14_2 = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (337), (10433) imply:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | (10434) ~ (all_52_1 = e0)
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (345), (10433) imply:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | (10435) ~ (all_52_8 = e0)
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (10433) imply:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | (10436) ~ (all_52_12 = e0)
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (8328), (10433) imply:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | (10437) ~ (e2 = e0)
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (10433) imply:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | (10438) op(e3, e3) = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | (10439) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10439) gives:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | (10440) all_56_4 = e0 & op(e3, e1) = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (120), (121), (133), (169), (170), (189),
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | (190), (201), (202), (232), (234), (236), (246),
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | (247), (270), (271), (368), (369), (8318), (8320),
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | (8327), (8328), (9735), (9736), (9754), (10435),
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | (10436), (10438), (10440), (function-axioms) are
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #439.
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | (10441) all_56_5 = e0 & op(e2, e1) = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10441) implies:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | (10442) op(e2, e1) = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9713), (9714), (10442), (function-axioms) are
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #534.
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | (10443) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10443) gives:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | (10444) all_56_8 = e0 & op(e1, e1) = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10444) implies:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | (10445) op(e1, e1) = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (10445), (function-axioms) are
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | (10446) all_56_14 = e0 & op(e0, e1) = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10446) implies:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | (10447) all_56_14 = e0
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | (10448) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10448) gives:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 160.78/23.74 | | | | | | | | | | | | | | | | | | | | | | | | (10449) all_56_4 = e3 & op(e3, e1) = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10449) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | (10450) all_56_4 = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | (10451) all_54_2 = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (10451) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | (10452) all_52_8 = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (10452) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | (10453) ~ (all_52_12 = e3)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10453) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | (10454) ~ (all_52_12 = e3)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (10455) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10455) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10456) all_56_9 = e3 & op(e3, e0) = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10456) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10457) op(e3, e0) = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10458) all_54_4 = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (10458) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10459) all_52_1 = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9701), (10459) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10460) $false
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10460) is inconsistent.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10461) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (145), (168), (189), (197), (201), (246),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260), (269), (270), (369), (370), (8327), (9705),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9734), (9737), (9754), (10434), (10454), (10457),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10461), (function-axioms) are inconsistent by
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #299.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10462) all_56_10 = e3 & op(e2, e0) = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10462) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10463) all_56_10 = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10464) all_54_4 = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (10464) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10465) all_52_1 = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9701), (10465) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10466) $false
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10466) is inconsistent.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10467) ~ (all_54_4 = e3)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10468) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10468) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10469) all_54_4 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (10469) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10470) all_52_1 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (10470) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10471) ~ (all_52_2 = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10470) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10472) ~ (all_52_13 = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10472) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10473) ~ (all_52_13 = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9701), (10470) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10474) ~ (e3 = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10475) all_54_7 = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10475) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10476) all_52_13 = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9705), (10476) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10477) $false
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10477) is inconsistent.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10478) ~ (all_54_7 = e3)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10479) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10479) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10480) all_54_7 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10480) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10481) all_52_13 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10473), (10481) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10482) $false
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10482) is inconsistent.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10483) ~ (all_54_7 = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10484) all_54_7 = e1 | all_54_7 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10484) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10485) all_54_7 = e1
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10485) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10486) all_52_13 = e1
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9737), (10486) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10487) $false
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10487) is inconsistent.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10488) all_54_7 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10488) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10489) all_52_13 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (10489) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10490) ~ (all_10_2 = e0)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10490) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10491) ~ (all_10_2 = e0)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9705), (10489) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10492) ~ (e3 = e0)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9737), (10489) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10493) ~ (e1 = e0)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10494) all_56_15 = e0 & op(e0, e0) = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10494) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10495) all_56_15 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10496) op(e0, e0) = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10497) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10497) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10498) all_56_0 = e2 & op(e3, e3) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10498) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10499) op(e3, e3) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (10499), (function-axioms) are
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10500) all_56_2 = e2 & op(e2, e3) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10500) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10501) all_56_2 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10502) op(e2, e3) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10503) all_54_15 = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8327), (10503) are inconsistent by
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504) ~ (all_54_15 = e3)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10505) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10506) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10506) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10507) all_56_9 = e2 & op(e3, e0) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10507) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10508) all_56_9 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10509) op(e3, e0) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10505) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10510) all_54_15 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9754), (10510) are inconsistent by
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10511) all_54_15 = e1 | all_54_15 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10512) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (51), (133), (169), (170), (201), (234),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (270), (369), (8318), (8328), (9706),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10436), (10454), (10491), (10501), (10508),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10511), (10512), (function-axioms) are
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #291.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10513) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10513) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10514) all_56_5 = e0 & op(e2, e1) = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10514) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10515) op(e2, e1) = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9713), (9714), (10515), (function-axioms) are
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #534.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10516) all_56_10 = e0 & op(e2, e0) = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10516) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10517) all_56_10 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10463), (10517) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10518) e3 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10518) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10519) e3 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10450), (10519) imply:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10520) all_56_4 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (10438),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10508), (10509), (10520), (function-axioms) are
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1372.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10521) all_56_10 = e2 & op(e2, e0) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10521) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10522) op(e2, e0) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (9734), (10434), (10468),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10522), (function-axioms) are inconsistent by
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10523) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10523) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10524) all_56_11 = e2 & op(e1, e0) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10524) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10525) all_56_11 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10505) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10526) all_54_15 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9754), (10526) are inconsistent by
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10527) ~ (all_54_15 = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10528) all_54_15 = e1 | all_54_15 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (133),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (160), (164), (165), (169), (170), (189),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (206), (207), (209), (210),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (216), (217), (220),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (227), (230), (232), (234),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (246), (260), (269), (270), (369),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318), (8319), (8325), (8326), (8327), (8328),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701), (9705), (9706), (9713), (9714), (9734),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9737), (9740), (9752), (9754), (10434), (10436),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10438), (10450), (10454), (10463), (10468),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10473), (10491), (10501), (10502), (10525),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10528), (function-axioms) are inconsistent by
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #283.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10529) all_56_15 = e2 & op(e0, e0) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10529) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10530) op(e0, e0) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10496), (10530), (function-axioms) are
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1100.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10531) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10531) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10532) all_56_6 = e2 & op(e1, e3) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10532) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10533) op(e1, e3) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8316), (10533), (function-axioms) are
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10534) all_56_12 = e2 & op(e0, e3) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10534) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10535) all_56_12 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10536) op(e0, e3) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10537) all_54_15 = e3
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8327), (10537) are inconsistent by
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10538) ~ (all_54_15 = e3)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10539) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10540) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10540) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10541) all_56_9 = e2 & op(e3, e0) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10541) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10542) all_56_9 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10543) op(e3, e0) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (73),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (82), (85), (91), (110), (112), (113), (117),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (126), (133), (135), (139),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (162), (163), (164), (165), (167),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (189), (190), (193), (195),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (200), (203), (204), (206), (207), (209),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (213), (214), (216), (217), (218),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (235), (236),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (246), (247), (250), (258), (259),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (272), (279), (305), (307), (313), (315),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (337), (339), (343), (345), (347), (368), (369),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (371), (8312), (8317), (8319), (8325),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8326), (8327), (9734), (9752), (10434), (10463),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10468), (10495), (10535), (10536), (10542),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10543), (function-axioms) are inconsistent by
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #282.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10544) all_56_10 = e2 & op(e2, e0) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10544) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10545) op(e2, e0) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (9734), (10434), (10468),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10545), (function-axioms) are inconsistent by
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10546) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10546) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10547) all_56_11 = e2 & op(e1, e0) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10547) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10548) all_56_11 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10539) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10549) all_54_15 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9754), (10549) are inconsistent by
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10550) ~ (all_54_15 = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10551) all_54_15 = e1 | all_54_15 = e0
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10552) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10552) gives:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10553) all_56_2 = e2 & op(e2, e3) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10553) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10554) all_56_2 = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10555) op(e2, e3) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (133),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (160), (164), (165), (169), (170), (189),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (206), (207), (209), (210),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (216), (217), (220),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (227), (230), (232), (234),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (246), (260), (269), (270), (369),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318), (8319), (8325), (8326), (8327), (8328),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701), (9705), (9706), (9713), (9714), (9734),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9737), (9740), (9752), (9754), (10434), (10436),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10438), (10450), (10454), (10463), (10468),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10473), (10491), (10548), (10551), (10554),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10555), (function-axioms) are inconsistent by
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #283.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10556) all_56_3 = e2 & op(e2, e2) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10556) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10557) op(e2, e2) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9706), (10557), (function-axioms) are
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10558) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (165), (269), (8319), (9734),
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10434), (10468), (10558), (function-axioms) are
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #446.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10559) all_56_15 = e2 & op(e0, e0) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10559) implies:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10560) op(e0, e0) = e2
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10496), (10560), (function-axioms) are
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1100.
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10561) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10561) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10562) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10562) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10563) all_56_9 = e0 & op(e3, e0) = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10563) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10564) all_56_9 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (51), (133), (169), (170), (189), (201),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (246), (270), (369), (8318), (8327),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328), (9754), (10436), (10454), (10491),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10564), (function-axioms) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #426.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10565) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10565) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10566) all_56_10 = e0 & op(e2, e0) = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10566) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10567) all_56_10 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10463), (10567) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10568) e3 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10450), (10568) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10569) all_56_4 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (133), (169), (170), (189), (201),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (236), (246), (270), (369), (8318),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (8328), (9754), (10436), (10438), (10454),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10491), (10569), (function-axioms) are
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #440.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10570) all_56_11 = e0 & op(e1, e0) = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10570) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10571) all_56_11 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10572) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10572) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10573) all_56_0 = e2 & op(e3, e3) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10573) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10574) op(e3, e3) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (10574), (function-axioms) are
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10575) all_56_2 = e2 & op(e2, e3) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10575) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10576) all_56_2 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10577) op(e2, e3) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (133),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (160), (164), (165), (169), (170), (189),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (206), (207), (209), (210),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (214), (216), (217), (220),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (224), (227), (230), (232), (234),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (246), (260), (269), (270), (369),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318), (8319), (8325), (8326), (8327), (8328),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701), (9705), (9706), (9713), (9714), (9734),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9737), (9740), (9752), (9754), (10434), (10436),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10438), (10450), (10454), (10463), (10468),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10473), (10491), (10571), (10576), (10577),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #284.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10578) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10578) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10579) all_56_6 = e2 & op(e1, e3) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10579) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10580) all_56_6 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (214), (216), (8325),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10571), (10580) are inconsistent by sub-proof
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1408.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10581) all_56_12 = e2 & op(e0, e3) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10581) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10582) all_56_12 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10583) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10583) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10584) all_56_9 = e2 & op(e3, e0) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10584) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10585) all_56_9 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10586) op(e3, e0) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10587) all_54_15 = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8327), (10587) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10588) ~ (all_54_15 = e3)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10589) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10590) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8319), (9706), (9713), (9714), (9740),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10438), (10590), (function-axioms) are
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #281.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10591) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10591) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10592) all_56_6 = e1 & op(e1, e3) = e1
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10592) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10593) all_56_6 = e1
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10589) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10594) all_54_15 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9754), (10594) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10595) all_54_15 = e1 | all_54_15 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10596) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10596) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10597) all_56_1 = e0 & op(e3, e2) = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10597) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10598) all_56_1 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (10438),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10585), (10586), (10598), (function-axioms) are
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1380.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10599) all_56_3 = e0 & op(e2, e2) = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10599) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10600) op(e2, e2) = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9706), (10600), (function-axioms) are
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10601) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10601) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10602) all_56_7 = e0 & op(e1, e2) = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10602) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10603) all_56_7 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (216), (8326), (10571), (10593),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10603), (function-axioms) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #522.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10604) all_56_13 = e0 & op(e0, e2) = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10604) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10605) all_56_13 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10595) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10606) all_54_15 = e1
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (10606) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10607) all_10_2 = e1
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10607) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10608) all_10_2 = e1
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (10608) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10609) ~ (all_52_12 = e1)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10610) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10610) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10611) all_56_12 = e3 & op(e0, e3) = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10582), (10611) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #497.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10612) all_56_13 = e3 & op(e0, e2) = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10612) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10613) all_56_13 = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10605), (10613) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10614) e3 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10450), (10614) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10615) all_56_4 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (51), (133), (169), (170), (201),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (236), (270), (8318), (8328),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10436), (10438), (10454), (10609), (10615),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #442.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10616) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10616) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10617) all_56_14 = e3 & op(e0, e1) = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10617) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10618) all_56_14 = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10447), (10618) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10619) e3 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10450), (10619) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10620) all_56_4 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (51), (133), (169), (170), (201),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (236), (270), (8318), (8328),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10436), (10438), (10454), (10609), (10620),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #442.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10621) all_56_15 = e3 & op(e0, e0) = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10621) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10622) op(e0, e0) = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (10622), (function-axioms) are
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10623) all_54_15 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (10491), (10623) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1263.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10624) all_56_12 = e1 & op(e0, e3) = e1
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10624) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10625) all_56_12 = e1
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10582), (10625) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1304.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10626) all_56_10 = e2 & op(e2, e0) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10626) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10627) op(e2, e0) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (9734), (10434), (10468),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10627), (function-axioms) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10628) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (45), (9754), (10571), (10628),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1244.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10629) all_54_4 = e1 | all_54_4 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9734), (10434), (10629) are inconsistent
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #899.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (10630) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10630) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10631) all_56_11 = e3 & op(e1, e0) = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10631) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10632) all_56_11 = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10633) op(e1, e0) = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10634) all_54_4 = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (10634) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10635) all_52_1 = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9701), (10635) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10636) $false
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10636) is inconsistent.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10637) ~ (all_54_4 = e3)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10638) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10638) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10639) all_54_4 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (10639) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10640) all_52_1 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (10640) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10641) ~ (all_52_13 = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10641) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10642) ~ (all_52_13 = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9701), (10640) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10643) ~ (e3 = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10644) all_54_7 = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10644) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10645) all_52_13 = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9705), (10645) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10646) $false
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10646) is inconsistent.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10647) ~ (all_54_7 = e3)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10648) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10648) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10649) all_54_7 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10649) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10650) all_52_13 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10642), (10650) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10651) $false
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10651) is inconsistent.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10652) ~ (all_54_7 = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10653) all_54_7 = e1 | all_54_7 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10653) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10654) all_54_7 = e1
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10654) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10655) all_52_13 = e1
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9737), (10655) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10656) $false
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10656) is inconsistent.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10657) all_54_7 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (10657) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10658) all_52_13 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (10658) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10659) ~ (all_10_2 = e0)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10659) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10660) ~ (all_10_2 = e0)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9705), (10658) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10661) ~ (e3 = e0)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9737), (10658) imply:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10662) ~ (e1 = e0)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10663) all_56_15 = e0 & op(e0, e0) = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10663) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10664) all_56_15 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10665) op(e0, e0) = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10666) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10666) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10667) all_56_0 = e2 & op(e3, e3) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10667) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10668) op(e3, e3) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (10668), (function-axioms) are
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10669) all_56_2 = e2 & op(e2, e3) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10669) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10670) all_56_2 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10671) op(e2, e3) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10672) all_54_15 = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8327), (10672) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10673) ~ (all_54_15 = e3)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10674) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10675) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10675) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10676) all_56_9 = e2 & op(e3, e0) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10676) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10677) all_56_9 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10674) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10678) all_54_15 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9754), (10678) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10679) ~ (all_54_15 = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10680) all_54_15 = e1 | all_54_15 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10681) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (51), (133), (169), (170), (201), (234),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (270), (369), (8318), (8328), (9706),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10436), (10454), (10660), (10670), (10677),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10680), (10681), (function-axioms) are
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #291.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10682) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (113),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (145), (160), (164), (165), (168), (169),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (189), (197), (200), (201), (206), (207),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (212), (213), (214), (216),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (223), (224), (227), (230),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (236), (238), (239), (246),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260), (269), (270), (369), (8318), (8319),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (8326), (8327), (8328), (9701), (9702),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9705), (9706), (9713), (9714), (9734), (9737),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740), (9752), (9754), (10434), (10436), (10438),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447), (10450), (10454), (10632), (10633),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10638), (10642), (10660), (10670), (10671),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10682), (function-axioms) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10683) all_56_10 = e2 & op(e2, e0) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10683) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10684) op(e2, e0) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (9734), (10434), (10638),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10684), (function-axioms) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10685) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (10632), (10665), (10685),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #305.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10686) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10686) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10687) all_56_6 = e2 & op(e1, e3) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10687) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10688) all_56_6 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (10632), (10688) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1200.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10689) all_56_12 = e2 & op(e0, e3) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10689) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10690) all_56_12 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10691) op(e0, e3) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10692) all_54_15 = e3
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8327), (10692) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10693) ~ (all_54_15 = e3)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10694) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10695) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10695) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10696) all_56_9 = e2 & op(e3, e0) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10696) implies:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10697) all_56_9 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10698) op(e3, e0) = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10694) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10699) all_54_15 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9754), (10699) are inconsistent by
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10700) ~ (all_54_15 = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10701) all_54_15 = e1 | all_54_15 = e0
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10702) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10702) gives:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10703) all_56_2 = e2 & op(e2, e3) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10703) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10704) all_56_2 = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10705) op(e2, e3) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10706) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10706) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10707) all_56_2 = e0 & op(e2, e3) = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (51), (133), (169), (170), (201), (234),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (270), (369), (8318), (8328), (10436),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10454), (10660), (10697), (10701), (10704),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10707), (function-axioms) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #292.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10708) all_56_3 = e0 & op(e2, e2) = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10708) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10709) op(e2, e2) = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (145), (164), (165), (200), (223),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (8319), (9701), (9707), (9734), (10434),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10709), (function-axioms) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #453.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10710) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10710) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10711) all_56_5 = e3 & op(e2, e1) = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10711) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10712) op(e2, e1) = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9740), (10712), (function-axioms) are
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10713) all_56_10 = e3 & op(e2, e0) = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10713) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10714) all_56_10 = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (73),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (82), (85), (91), (110), (112), (113), (117),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (126), (133), (135), (139),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (157),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (162), (163), (164), (165), (167),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (189), (190), (193), (195),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (200), (203), (204), (206), (207), (209),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (212), (213), (214), (216), (217), (218),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (223), (224), (225), (226),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (235), (236),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (246), (247), (250), (258), (259),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (272), (279), (305), (307), (313), (315),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (337), (339), (343), (345), (347), (368), (369),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (371), (8312), (8317), (8319), (8325),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8326), (8327), (9734), (9752), (10434), (10638),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10664), (10690), (10691), (10697), (10698),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10714), (function-axioms) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #282.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10715) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (113),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (145), (160), (164), (165), (168), (169),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (189), (197), (200), (201), (206), (207),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (212), (213), (214), (216),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (223), (224), (227), (230),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (236), (238), (239), (246),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260), (269), (270), (369), (8318), (8319),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (8326), (8327), (8328), (9701), (9702),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9705), (9706), (9713), (9714), (9734), (9737),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740), (9752), (9754), (10434), (10436), (10438),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447), (10450), (10454), (10632), (10633),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10638), (10642), (10660), (10704), (10705),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10715), (function-axioms) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10716) all_56_3 = e2 & op(e2, e2) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10716) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10717) op(e2, e2) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (45), (51), (73), (82),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (110), (112), (113), (117), (118),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (126), (133), (135), (139), (143),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (148), (149), (157), (158),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (162), (163), (164), (165), (167), (168),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (189), (190), (193), (195), (196),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (203), (204), (206), (207), (209), (210),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (218), (220),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (224), (225), (226), (228), (229),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (235), (236), (238), (239),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (247), (250), (258), (259), (269), (272),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279), (305), (307), (313), (315), (337), (339),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (343), (345), (347), (368), (369), (370), (371),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8312), (8317), (8319), (8325), (8326), (8327),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10690), (10691), (10697), (10698), (10717),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #467.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10718) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (165), (269), (8319), (9734),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10434), (10638), (10718), (function-axioms) are
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #446.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10719) all_56_10 = e2 & op(e2, e0) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10719) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10720) op(e2, e0) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (9734), (10434), (10638),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10720), (function-axioms) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10721) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (10632), (10665), (10721),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #305.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10722) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10722) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10723) (all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 & op(e1,
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10723) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10724) all_56_9 = e0 & op(e3, e0) = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10724) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10725) all_56_9 = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (51), (133), (169), (170), (189), (201),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (246), (270), (369), (8318), (8327),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328), (9754), (10436), (10454), (10660),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10725), (function-axioms) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #426.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10726) (all_56_10 = e0 & op(e2, e0) = e0) | (all_56_11 =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10726) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10727) all_56_10 = e0 & op(e2, e0) = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10727) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10728) all_56_10 = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10729) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10729) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10730) all_56_0 = e2 & op(e3, e3) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10730) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10731) op(e3, e3) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (10731), (function-axioms) are
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10732) all_56_2 = e2 & op(e2, e3) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10732) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10733) all_56_2 = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10734) op(e2, e3) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (113),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (133), (145), (160), (164), (165), (168), (169),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (189), (197), (200), (201), (206), (207),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (211), (212), (213), (214), (216),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (223), (224), (227), (230),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (236), (238), (239), (246),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (260), (269), (270), (369), (8318), (8319),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (8326), (8327), (8328), (9701), (9702),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9705), (9706), (9713), (9714), (9734), (9737),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740), (9752), (9754), (10434), (10436), (10438),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447), (10450), (10454), (10632), (10633),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10638), (10642), (10660), (10728), (10733),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10734), (function-axioms) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #277.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10735) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10735) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10736) all_56_6 = e2 & op(e1, e3) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10736) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10737) all_56_6 = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (213), (214), (216),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (10632), (10737) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1200.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10738) all_56_12 = e2 & op(e0, e3) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10738) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10739) all_56_12 = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10740) op(e0, e3) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10741) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10741) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10742) all_56_9 = e2 & op(e3, e0) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10742) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10743) all_56_9 = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10744) op(e3, e0) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10745) all_54_15 = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (8327), (10745) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1265.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10746) ~ (all_54_15 = e3)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10747) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10747) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10748) all_54_15 = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (9754), (10748) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10749) ~ (all_54_15 = e2)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10750) all_54_15 = e1 | all_54_15 = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10751) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8319), (9706), (9713), (9714), (9740),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10438), (10751), (function-axioms) are
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #281.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10752) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10752) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10753) all_56_6 = e1 & op(e1, e3) = e1
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10753) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10754) all_56_6 = e1
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10750) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10755) all_54_15 = e1
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (10755) imply:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10756) all_10_2 = e1
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10756) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10757) all_10_2 = e1
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (10757) imply:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10758) ~ (all_52_12 = e1)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10759) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10759) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10760) all_56_2 = e2 & op(e2, e3) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10760) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10761) all_56_2 = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10762) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10762) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10763) all_56_0 = e3 & op(e3, e3) = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10763) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10764) op(e3, e3) = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10438), (10764), (function-axioms) are
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1421.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10765) all_56_2 = e3 & op(e2, e3) = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10765) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10766) all_56_2 = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10761), (10766) imply:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10767) e3 = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (10767) imply:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10768) $false
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10768) is inconsistent.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10769) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10769) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10770) all_56_6 = e3 & op(e1, e3) = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10770) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10771) all_56_6 = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10754), (10771) imply:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10772) e3 = e1
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10632), (10772) imply:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10773) all_56_11 = e1
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (45), (212), (8327), (10728),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10744), (10773), (function-axioms) are
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1424.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10774) all_56_12 = e3 & op(e0, e3) = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10774) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10775) all_56_12 = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10739), (10775) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1195.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10776) all_56_3 = e2 & op(e2, e2) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10776) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10777) op(e2, e2) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (45), (51), (73), (82),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (85), (91), (110), (112), (113), (117), (118),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (126), (133), (135), (139), (143),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (148), (149), (157), (158),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (162), (163), (164), (165), (167), (168),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (189), (190), (193), (195), (196),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (203), (204), (206), (207), (209), (210),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (217), (218), (220),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (224), (225), (226), (228), (229),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (235), (236), (238), (239),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (247), (250), (258), (259), (269), (272),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279), (305), (307), (313), (315), (337), (339),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (343), (345), (347), (368), (369), (370), (371),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8312), (8317), (8319), (8325), (8326), (8327),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10739), (10740), (10743), (10744), (10777),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #467.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10778) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (164), (165), (201), (270), (8319),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10436), (10454), (10758), (10778),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #304.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10779) all_54_15 = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (10660), (10779) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1263.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10780) all_56_12 = e1 & op(e0, e3) = e1
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10739), (10780) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1290.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10781) all_56_10 = e2 & op(e2, e0) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10781) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10782) op(e2, e0) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (164), (269), (9734), (10434), (10638),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10782), (function-axioms) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #898.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10783) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10783) gives:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10784) all_56_11 = e2 & op(e1, e0) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10784) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10785) all_56_11 = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10632), (10785) are inconsistent by
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #712.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10786) all_56_15 = e2 & op(e0, e0) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10786) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10787) op(e0, e0) = e2
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (9754), (10787), (function-axioms) are
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1471.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10788) all_56_11 = e0 & op(e1, e0) = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10788) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10789) all_56_11 = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10632), (10789) imply:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10790) e3 = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10450), (10790) imply:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10791) all_56_4 = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (51), (133), (169), (170), (189), (201),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (236), (246), (270), (369), (8318),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (8328), (9754), (10436), (10438), (10454),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10660), (10791), (function-axioms) are
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #440.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10792) all_54_4 = e1 | all_54_4 = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9734), (10434), (10792) are inconsistent
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #899.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10793) all_56_15 = e3 & op(e0, e0) = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10793) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10794) op(e0, e0) = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (10794), (function-axioms) are
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | (10795) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (8318), (9735), (10435), (10795) are
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #814.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | (10796) all_56_5 = e3 & op(e2, e1) = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10796) implies:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | (10797) op(e2, e1) = e3
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9740), (10797), (function-axioms) are
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | (10798) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (8326), (10447), (10798),
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | | #403.
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.76 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | (10799) all_30_2 = e2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (10799) imply:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | (10800) all_10_2 = e2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | SIMP: (10800) implies:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | (10801) all_10_2 = e2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (10801) imply:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | (10802) ~ (all_52_13 = e2)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | REDUCE: (8327), (10801) imply:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | (10803) ~ (e3 = e2)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | REDUCE: (45), (10801) imply:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | (10804) op(e0, e0) = e2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | (10805) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10805) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (10806) all_56_2 = e2 & op(e2, e3) = e2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10806) implies:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (10807) all_56_2 = e2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (10808) op(e2, e3) = e2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (145),
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (160), (164), (165), (197), (200), (206), (207),
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (209), (210), (212), (213), (214), (216), (217),
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (220), (221), (223), (224), (227), (230), (232),
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (236), (238), (260), (269), (8319), (8325),
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (8326), (8327), (8328), (9701), (9705), (9706),
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (9713), (9714), (9734), (9737), (9740), (9752),
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (10802), (10804), (10807), (10808),
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | #285.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (10809) all_56_3 = e2 & op(e2, e2) = e2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10809) implies:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (10810) op(e2, e2) = e2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9706), (10810), (function-axioms) are
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | (10811) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (8319), (10802), (10811),
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | #731.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.77 | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | (10812) all_28_2 = e1
% 161.09/23.77 | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (315), (10812) imply:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | (10813) all_14_2 = e1
% 161.09/23.77 | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | SIMP: (10813) implies:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | (10814) all_14_2 = e1
% 161.09/23.77 | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (305), (10814) imply:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | (10815) all_36_2 = e1
% 161.09/23.77 | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | REDUCE: (339), (10814) imply:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | (10816) ~ (all_52_2 = e1)
% 161.09/23.77 | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | REDUCE: (341), (10814) imply:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | (10817) ~ (all_52_3 = e1)
% 161.09/23.77 | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | REDUCE: (343), (10814) imply:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | (10818) ~ (all_52_4 = e1)
% 161.09/23.77 | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | REDUCE: (347), (10814) imply:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | (10819) ~ (all_52_12 = e1)
% 161.09/23.77 | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | REDUCE: (51), (10814) imply:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | (10820) op(e3, e3) = e1
% 161.09/23.77 | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | (10821) ~ (all_36_2 = e1)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | REDUCE: (10815), (10821) imply:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | (10822) $false
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | CLOSE: (10822) is inconsistent.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | (10823) ( ~ (all_36_0 = e0) & op(e1, e3) = all_36_0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | $i(all_36_0)) | ( ~ (all_36_1 = e2) & op(e1, e1)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (10823) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | (10824) ~ (all_36_0 = e0) & op(e1, e3) = all_36_0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | $i(all_36_0)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | ALPHA: (10824) implies:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | (10825) op(e1, e3) = all_36_0
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (10826) ~ (all_38_2 = e3)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9700), (10826) imply:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (10827) $false
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | CLOSE: (10827) is inconsistent.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | (10828) ( ~ (all_38_0 = e0) & op(e3, e2) = all_38_0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | $i(all_38_0)) | ( ~ (all_38_1 = e1) & op(e3, e3)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10828) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | (10829) ~ (all_38_0 = e0) & op(e3, e2) = all_38_0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | $i(all_38_0)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10829) implies:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | (10830) ~ (all_38_0 = e0)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | (10831) op(e3, e2) = all_38_0
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (10832) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10832) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (10833) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10833) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (10834) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (8326), (8327), (10834),
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | #549.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (10835) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (163), (8327), (10816), (10825), (10835),
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | #274.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (10836) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10836) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (10837) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10837) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (10838) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10838) implies:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (10839) op(e3, e2) = e3
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9702), (10839), (function-axioms) are
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1394.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (10840) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10840) implies:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (10841) op(e3, e2) = e3
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (9702), (10841), (function-axioms) are
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1394.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (10842) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (51), (8326), (8328), (9706), (10842),
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | #286.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (10843) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10843) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (10844) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10844) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (10845) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8319), (10820), (10845), (function-axioms)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1154.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (10846) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (165), (8319), (8326), (9706), (10846),
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | #329.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (10847) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10847) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (10848) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10820), (10848), (function-axioms) are
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #758.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (10849) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10849) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (10850) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10850) implies:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (10851) op(e1, e1) = e0
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (10851), (function-axioms) are
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (10852) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10852) gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10853) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10853) implies:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10854) op(e2, e2) = e0
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9706), (10854), (function-axioms) are
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10855) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10855) implies:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10856) op(e0, e0) = all_57_31
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10857) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2,
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (45), (10856)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10858) all_57_31 = all_10_2
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_36_0, e3, e1, simplifying with (163), (10825)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10859) all_52_2 = all_36_0
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_0, e2, e3, simplifying with (170), (10831)
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10860) all_52_4 = all_38_0
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (10860) imply:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10861) all_54_1 = all_38_0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (10860) imply:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10862) ~ (all_52_8 = all_38_0)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10862) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10863) ~ (all_52_8 = all_38_0)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (10860) imply:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10864) ~ (all_52_12 = all_38_0)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10864) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10865) ~ (all_52_12 = all_38_0)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9702), (10860) imply:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10866) ~ (all_38_0 = e3)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10818), (10860) imply:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10867) ~ (all_38_0 = e1)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10868) all_54_1 = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10861), (10866), (10868) are inconsistent by
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #273.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10869) ~ (all_54_1 = e3)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10870) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10871) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10871) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10872) all_56_12 = e3 & op(e0, e3) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10872) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10873) all_56_12 = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10870) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10874) all_54_1 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10861), (10874) imply:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10875) all_38_0 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10865), (10875) imply:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10876) ~ (all_52_12 = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10866), (10875) imply:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10877) ~ (e3 = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10831), (10875) imply:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10878) op(e3, e2) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10879) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10879) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10880) all_56_0 = e2 & op(e3, e3) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10880) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10881) op(e3, e3) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (10881), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10882) all_56_2 = e2 & op(e2, e3) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10882) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10883) all_56_2 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10884) op(e2, e3) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10885) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10885) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10886) all_56_1 = e2 & op(e3, e2) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10886) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10887) all_56_1 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10888) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10888) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10889) all_56_9 = e3 & op(e3, e0) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (120),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (159), (162), (163), (167), (168), (169),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (211), (214), (217), (220), (221), (224),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (229), (230), (233), (234), (235), (236),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (8316), (8318), (8325), (8326), (8328),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706), (9711), (9713), (9714), (9735), (9740),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10816), (10817), (10819), (10820), (10825),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10856), (10857), (10858), (10876), (10878),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10887), (10889), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #262.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10890) all_56_10 = e3 & op(e2, e0) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10890) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10891) all_56_10 = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (221), (9706), (9713), (9714), (10883),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10891), (function-axioms) are inconsistent by
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #333.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10892) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10892) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10893) all_56_11 = e3 & op(e1, e0) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10893) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10894) all_56_11 = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10895) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10895) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10896) all_56_4 = e3 & op(e3, e1) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10896) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10897) op(e3, e1) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10898) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (10820), (10887), (10898),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #272.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10899) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10899) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10900) all_56_4 = e0 & op(e3, e1) = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10900) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10901) op(e3, e1) = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10897), (10901), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1458.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10902) all_56_9 = e0 & op(e3, e0) = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10902) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10903) all_56_9 = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10904) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10904) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10905) all_56_9 = e2 & op(e3, e0) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10905) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10906) all_56_9 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10907) op(e3, e0) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (230), (236), (10820),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10878), (10887), (10906), (10907),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #261.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10908) all_56_10 = e2 & op(e2, e0) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (167), (221), (9706), (9713), (9714),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10884), (10908), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #260.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10909) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10909) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10910) all_56_11 = e2 & op(e1, e0) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10910) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10911) all_56_11 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10894), (10911) are inconsistent by
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #712.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10912) all_56_15 = e2 & op(e0, e0) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10912) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10913) op(e0, e0) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (45), (210), (212),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (8327), (9706), (9713), (9714), (10883),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10903), (10913), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #290.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10914) all_56_5 = e3 & op(e2, e1) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10914) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10915) op(e2, e1) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9740), (10915), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10916) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (120), (157),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (162), (163), (167), (168), (169), (207),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (214), (217), (220), (221), (224), (225),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (234), (235), (236), (239), (8316),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318), (8325), (8326), (8328), (9706), (9711),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9713), (9714), (9735), (9740), (10816), (10817),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10819), (10820), (10825), (10856), (10857),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10858), (10876), (10878), (10916),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #263.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10917) all_56_15 = e3 & op(e0, e0) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10917) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10918) op(e0, e0) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (10918), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10919) all_56_3 = e2 & op(e2, e2) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10919) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10920) op(e2, e2) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9706), (10920), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10921) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10921) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10922) all_56_7 = e2 & op(e1, e2) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10922) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10923) all_56_7 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10924) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10924) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10925) all_56_0 = e2 & op(e3, e3) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10925) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10926) op(e3, e3) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (10926), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10927) all_56_1 = e2 & op(e3, e2) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10927) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10928) all_56_1 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (225), (226), (9706),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10923), (10928), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #589.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10929) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10929) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10930) all_56_4 = e2 & op(e3, e1) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10930) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10931) op(e3, e1) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8318), (10931), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10932) all_56_9 = e2 & op(e3, e0) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10932) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10933) op(e3, e0) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10934) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10934) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10935) all_56_4 = e0 & op(e3, e1) = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10935) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10936) all_56_4 = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (10820), (10878), (10933),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10936), (function-axioms) are inconsistent by
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #265.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10937) all_56_5 = e0 & op(e2, e1) = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10937) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10938) op(e2, e1) = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9713), (9714), (10938), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #534.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10939) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10939) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10940) all_56_8 = e0 & op(e1, e1) = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10940) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10941) op(e1, e1) = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (10941), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10942) all_56_14 = e0 & op(e0, e1) = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10942) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10943) all_56_14 = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10944) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10944) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10945) all_56_12 = e2 & op(e0, e3) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10945) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10946) all_56_12 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10873), (10946) are inconsistent by
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1195.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10947) all_56_13 = e2 & op(e0, e2) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (163), (165),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (207), (217), (220), (221), (223), (224),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (8316), (8319), (8326),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328), (9706), (9711), (9713), (9714), (9740),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10820), (10856), (10857), (10873), (10883),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10884), (10947), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #259.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10948) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10948) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10949) all_56_14 = e2 & op(e0, e1) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10949) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10950) all_56_14 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10943), (10950) imply:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10951) e2 = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (10951) imply:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10952) $false
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10952) is inconsistent.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10953) all_56_15 = e2 & op(e0, e0) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10953) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10954) op(e0, e0) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (210), (212),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (214), (216), (221), (8325), (8326),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (9706), (9713), (9714), (10883), (10923),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10954), (function-axioms) are inconsistent by
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #319.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10955) all_56_13 = e2 & op(e0, e2) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (163), (165),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (207), (217), (220), (221), (223), (224),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (8316), (8319), (8326),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8328), (9706), (9711), (9713), (9714), (9740),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10820), (10856), (10857), (10873), (10883),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10884), (10955), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #259.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10956) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10956) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10957) all_56_6 = e2 & op(e1, e3) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10957) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10958) op(e1, e3) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8316), (10958), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10959) all_56_12 = e2 & op(e0, e3) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10959) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10960) all_56_12 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10873), (10960) are inconsistent by
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1195.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10961) all_54_1 = e1 | all_54_1 = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10830), (10861), (10867), (10961) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #755.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10962) all_56_13 = e3 & op(e0, e2) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10962) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10963) all_56_13 = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10870) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10964) all_54_1 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10861), (10964) imply:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10965) all_38_0 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10865), (10965) imply:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10966) ~ (all_52_12 = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10866), (10965) imply:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10967) ~ (e3 = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10968) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_1 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10968) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10969) all_56_0 = e2 & op(e3, e3) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10969) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10970) op(e3, e3) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (8328), (10970), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1469.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10971) all_56_1 = e2 & op(e3, e2) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10971) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10972) all_56_1 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10973) op(e3, e2) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10974) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9706), (10972), (10974),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #591.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10975) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10975) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10976) all_56_7 = e0 & op(e1, e2) = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10976) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10977) op(e1, e2) = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10978) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10978) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10979) all_56_9 = e3 & op(e3, e0) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (51), (120),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (159), (162), (163), (167), (168), (169),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (211), (214), (217), (220), (221), (224),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (229), (230), (233), (234), (235), (236),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (8316), (8318), (8325), (8326), (8328),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706), (9711), (9713), (9714), (9735), (9740),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10816), (10817), (10819), (10820), (10825),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10856), (10857), (10858), (10966), (10972),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10973), (10979), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #262.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10980) all_56_10 = e3 & op(e2, e0) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (165), (221), (223), (8319),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706), (9713), (9714), (10980), (function-axioms)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #332.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10981) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10981) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10982) all_56_11 = e3 & op(e1, e0) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10982) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10983) op(e1, e0) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10984) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10984) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10985) all_56_6 = e1 & op(e1, e3) = e1
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10985) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10986) op(e1, e3) = e1
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10816), (10825), (10986),
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #275.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10987) all_56_7 = e1 & op(e1, e2) = e1
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10987) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10988) op(e1, e2) = e1
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10977), (10988), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1110.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10989) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10989) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10990) all_56_8 = e1 & op(e1, e1) = e1
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8325), (10990) are inconsistent by sub-proof
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #520.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10991) all_56_11 = e1 & op(e1, e0) = e1
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10991) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10992) op(e1, e0) = e1
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (10983), (10992), (function-axioms)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1217.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10993) all_56_15 = e3 & op(e0, e0) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10993) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10994) op(e0, e0) = e3
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (10994), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10995) all_56_13 = e0 & op(e0, e2) = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10995) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10996) all_56_13 = e0
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10963), (10996) are inconsistent by
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1025.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10997) (all_56_4 = e2 & op(e3, e1) = e2) | (all_56_9 = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10997) gives:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10998) all_56_4 = e2 & op(e3, e1) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10998) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10999) op(e3, e1) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8318), (10999), (function-axioms) are
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1079.
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11000) all_56_9 = e2 & op(e3, e0) = e2
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11000) implies:
% 161.09/23.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11001) all_56_9 = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11002) op(e3, e0) = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11003) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11003) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11004) all_56_1 = e2 & op(e3, e2) = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11004) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11005) all_56_1 = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11006) op(e3, e2) = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (230), (236), (10820),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11001), (11002), (11005), (11006),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #261.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11007) all_56_3 = e2 & op(e2, e2) = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11007) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11008) op(e2, e2) = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9706), (11008), (function-axioms) are
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11009) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11009) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11010) all_56_7 = e2 & op(e1, e2) = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11010) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11011) all_56_7 = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11012) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_7 = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11012) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11013) all_56_6 = e1 & op(e1, e3) = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11013) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11014) op(e1, e3) = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (10816), (10825), (11014),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #275.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11015) all_56_7 = e1 & op(e1, e2) = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11015) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11016) all_56_7 = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11011), (11016) are inconsistent by
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #921.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11017) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_11 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11017) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11018) all_56_8 = e1 & op(e1, e1) = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8325), (11018) are inconsistent by sub-proof
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1411.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11019) all_56_11 = e1 & op(e1, e0) = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11019) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11020) all_56_11 = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11021) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11021) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11022) all_56_12 = e1 & op(e0, e3) = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (163), (224),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (8316), (8328), (9711),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740), (10820), (11022), (function-axioms) are
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #266.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11023) all_56_13 = e1 & op(e0, e2) = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11023) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11024) all_56_13 = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10963), (11024) are inconsistent by
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1403.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11025) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11025) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11026) all_56_14 = e1 & op(e0, e1) = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11026) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11027) all_56_14 = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (217), (220), (8326),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9713), (9714), (9740), (11027), (function-axioms)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #311.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11028) all_56_15 = e1 & op(e0, e0) = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11028) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11029) all_56_15 = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (206), (210),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (8327), (11001), (11002), (11020), (11029),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1191.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11030) all_56_13 = e2 & op(e0, e2) = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11030) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11031) all_56_13 = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10963), (11031) are inconsistent by
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1009.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11032) all_54_1 = e1 | all_54_1 = e0
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10830), (10861), (10867), (11032) are
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #755.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11033) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11033) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11034) all_56_14 = e3 & op(e0, e1) = e3
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11034) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11035) all_56_14 = e3
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11036) op(e0, e1) = e3
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10870) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11037) all_54_1 = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10861), (11037) imply:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11038) all_38_0 = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10865), (11038) imply:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11039) ~ (all_52_12 = e2)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10866), (11038) imply:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11040) ~ (e3 = e2)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10831), (11038) imply:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11041) op(e3, e2) = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (45), (51), (120), (157),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (162), (163), (167), (168), (169), (207),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (214), (217), (220), (221), (224), (225),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (234), (235), (236), (239), (8316),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318), (8325), (8326), (8328), (9706), (9711),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9713), (9714), (9735), (9740), (10816), (10817),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10819), (10820), (10825), (10856), (10857),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10858), (11035), (11036), (11039), (11041),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #264.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11042) all_54_1 = e1 | all_54_1 = e0
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10830), (10861), (10867), (11042) are
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #755.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11043) all_56_15 = e3 & op(e0, e0) = e3
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11043) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11044) op(e0, e0) = e3
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (11044), (function-axioms) are
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | (11045) ~ (all_38_1 = e1) & op(e3, e3) = all_38_1 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11045) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | (11046) ~ (all_38_1 = e1)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | (11047) op(e3, e3) = all_38_1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10820), (11046), (11047), (function-axioms) are
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #754.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | (11048) ~ (all_36_1 = e2) & op(e1, e1) = all_36_1 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | ALPHA: (11048) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | (11049) ~ (all_36_1 = e2)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | (11050) op(e1, e1) = all_36_1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8326), (11049), (11050), (function-axioms) are
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #889.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | (11051) all_56_10 = e1 & op(e2, e0) = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | ALPHA: (11051) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | (11052) all_56_10 = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 161.09/23.79 | | | | | | | | | | | | | | | | | (224), (8319), (9706), (9713), (9714), (9740),
% 161.09/23.79 | | | | | | | | | | | | | | | | | (11052), (function-axioms) are inconsistent by
% 161.09/23.79 | | | | | | | | | | | | | | | | | sub-proof #326.
% 161.09/23.79 | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | (11053) all_54_6 = e0
% 161.09/23.79 | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | REF_CLOSE: (9713), (9716), (11053) are inconsistent by
% 161.09/23.79 | | | | | | | | | | | | | | | sub-proof #258.
% 161.09/23.79 | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | (11054) ~ (all_8_1 = e3) & op(e2, e2) = all_8_1 &
% 161.09/23.79 | | | | | | | | | | | | $i(all_8_1)
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | ALPHA: (11054) implies:
% 161.09/23.79 | | | | | | | | | | | | (11055) ~ (all_8_1 = e3)
% 161.09/23.79 | | | | | | | | | | | | (11056) op(e2, e2) = all_8_1
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_1,
% 161.09/23.79 | | | | | | | | | | | | e2, e2, simplifying with (9706), (11056) gives:
% 161.09/23.79 | | | | | | | | | | | | (11057) all_8_1 = e3
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | REDUCE: (11055), (11057) imply:
% 161.09/23.79 | | | | | | | | | | | | (11058) $false
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | CLOSE: (11058) is inconsistent.
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | (11059) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 161.09/23.79 | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.09/23.79 | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | BETA: splitting (11059) gives:
% 161.09/23.79 | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | (11060) all_56_5 = e3 & op(e2, e1) = e3
% 161.09/23.79 | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | REF_CLOSE: (165), (8312), (9704), (9706), (11060),
% 161.09/23.79 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.79 | | | | | | | | | | | #256.
% 161.09/23.79 | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | (11061) all_56_10 = e3 & op(e2, e0) = e3
% 161.09/23.79 | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | ALPHA: (11061) implies:
% 161.09/23.79 | | | | | | | | | | | (11062) all_56_10 = e3
% 161.09/23.79 | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | BETA: splitting (223) gives:
% 161.09/23.79 | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | (11063) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 161.09/23.79 | | | | | | | | | | | | & op(e2, e2) = e2)
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (221), (222),
% 161.09/23.79 | | | | | | | | | | | | (9706), (11062), (11063), (function-axioms) are
% 161.09/23.79 | | | | | | | | | | | | inconsistent by sub-proof #1273.
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | (11064) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 161.09/23.79 | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | REF_CLOSE: (9), (165), (8319), (11062), (11064),
% 161.09/23.79 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.79 | | | | | | | | | | | | #1271.
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | |
% 161.09/23.79 | | | | | | | | End of split
% 161.09/23.79 | | | | | | | |
% 161.09/23.79 | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | |
% 161.09/23.79 | | | | | | | | (11065) all_14_2 = e2
% 161.09/23.79 | | | | | | | |
% 161.09/23.79 | | | | | | | | COMBINE_EQS: (321), (11065) imply:
% 161.09/23.79 | | | | | | | | (11066) all_22_2 = e2
% 161.09/23.79 | | | | | | | |
% 161.09/23.79 | | | | | | | | REDUCE: (337), (11065) imply:
% 161.09/23.79 | | | | | | | | (11067) ~ (all_52_1 = e2)
% 161.09/23.79 | | | | | | | |
% 161.09/23.79 | | | | | | | | REDUCE: (341), (11065) imply:
% 161.09/23.79 | | | | | | | | (11068) ~ (all_52_3 = e2)
% 161.09/23.79 | | | | | | | |
% 161.09/23.79 | | | | | | | | REDUCE: (343), (11065) imply:
% 161.09/23.79 | | | | | | | | (11069) ~ (all_52_4 = e2)
% 161.09/23.79 | | | | | | | |
% 161.09/23.79 | | | | | | | | REDUCE: (347), (11065) imply:
% 161.09/23.79 | | | | | | | | (11070) ~ (all_52_12 = e2)
% 161.09/23.79 | | | | | | | |
% 161.09/23.79 | | | | | | | | BETA: splitting (233) gives:
% 161.09/23.79 | | | | | | | |
% 161.09/23.79 | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | |
% 161.09/23.79 | | | | | | | | | (11071) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 161.09/23.79 | | | | | | | | | & op(e2, e3) = e2)
% 161.09/23.79 | | | | | | | | |
% 161.09/23.79 | | | | | | | | | BETA: splitting (11071) gives:
% 161.09/23.79 | | | | | | | | |
% 161.09/23.79 | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | (11072) all_56_0 = e2 & op(e3, e3) = e2
% 161.09/23.79 | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | ALPHA: (11072) implies:
% 161.09/23.79 | | | | | | | | | | (11073) all_56_0 = e2
% 161.09/23.79 | | | | | | | | | | (11074) op(e3, e3) = e2
% 161.09/23.79 | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | BETA: splitting (55) gives:
% 161.09/23.79 | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | (11075) ~ (all_16_2 = e3)
% 161.09/23.79 | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | REDUCE: (328), (11075) imply:
% 161.09/23.79 | | | | | | | | | | | (11076) ~ (all_6_2 = e3)
% 161.09/23.79 | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | BETA: splitting (61) gives:
% 161.09/23.79 | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | (11077) ~ (all_20_2 = e0)
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | REDUCE: (283), (11077) imply:
% 161.09/23.79 | | | | | | | | | | | | (11078) ~ (all_6_2 = e0)
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | BETA: splitting (199) gives:
% 161.09/23.79 | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | (11079) all_54_5 = e3
% 161.09/23.79 | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | REF_CLOSE: (268), (11076), (11079) are inconsistent by
% 161.09/23.79 | | | | | | | | | | | | | sub-proof #658.
% 161.09/23.79 | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | (11080) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 161.09/23.79 | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | BETA: splitting (11080) gives:
% 161.09/23.79 | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | (11081) all_54_5 = e2
% 161.09/23.79 | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | COMBINE_EQS: (268), (11081) imply:
% 161.09/23.79 | | | | | | | | | | | | | | (11082) all_6_2 = e2
% 161.09/23.79 | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | SIMP: (11082) implies:
% 161.09/23.79 | | | | | | | | | | | | | | (11083) all_6_2 = e2
% 161.09/23.79 | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | REDUCE: (359), (11083) imply:
% 161.09/23.79 | | | | | | | | | | | | | | (11084) ~ (all_52_13 = e2)
% 161.09/23.79 | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | REDUCE: (39), (11083) imply:
% 161.09/23.79 | | | | | | | | | | | | | | (11085) op(e2, e2) = e2
% 161.09/23.79 | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 161.09/23.79 | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | (11086) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 161.09/23.79 | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.79 | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (11070), (11084), (11086),
% 161.09/23.79 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.79 | | | | | | | | | | | | | | | #696.
% 161.09/23.79 | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | (11087) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 161.09/23.79 | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 161.09/23.79 | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | BETA: splitting (11087) gives:
% 161.09/23.79 | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | (11088) all_56_11 = e2 & op(e1, e0) = e2
% 161.09/23.79 | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | ALPHA: (11088) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | (11089) op(e1, e0) = e2
% 161.09/23.79 | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 161.09/23.79 | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (11089) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | (11090) all_52_14 = e2
% 161.09/23.79 | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | REDUCE: (8321), (11090) imply:
% 161.09/23.79 | | | | | | | | | | | | | | | | (11091) $false
% 161.09/23.79 | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | CLOSE: (11091) is inconsistent.
% 161.09/23.79 | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | (11092) all_56_15 = e2 & op(e0, e0) = e2
% 161.09/23.79 | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | ALPHA: (11092) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | (11093) op(e0, e0) = e2
% 161.09/23.79 | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e2,
% 161.09/23.79 | | | | | | | | | | | | | | | | e0, e0, simplifying with (45), (11093) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | (11094) all_10_2 = e2
% 161.09/23.79 | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | REDUCE: (8327), (11094) imply:
% 161.09/23.79 | | | | | | | | | | | | | | | | (11095) ~ (e3 = e2)
% 161.09/23.79 | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | (11096) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.79 | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.79 | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 161.09/23.79 | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 161.09/23.79 | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 161.09/23.79 | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 161.09/23.79 | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 161.09/23.79 | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 161.09/23.79 | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 161.09/23.79 | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 161.09/23.79 | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 161.09/23.79 | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.79 | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 161.09/23.79 | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 161.09/23.79 | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | BETA: splitting (11096) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | (11097) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.79 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.79 | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 161.09/23.79 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 161.09/23.79 | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | BETA: splitting (11097) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | (11098) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 161.09/23.79 | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (8326), (8327), (11098),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | #549.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | (11099) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 161.09/23.79 | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (8327), (11085), (11099),
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | #548.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | (11100) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 161.09/23.79 | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 161.09/23.79 | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 161.09/23.79 | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | BETA: splitting (11100) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | (11101) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 161.09/23.79 | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11074), (11101), (function-axioms) are
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #729.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | (11102) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 161.09/23.79 | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | BETA: splitting (11102) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | (11103) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | ALPHA: (11103) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | (11104) ~ (all_57_30 = e2)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | (11105) op(e1, e1) = all_57_30
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8326), (11104), (11105), (function-axioms) are
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1397.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | (11106) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11106) gives:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | (11107) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11107) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | (11108) ~ (all_57_30 = e2)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | (11109) op(e1, e1) = all_57_30
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8326), (11108), (11109), (function-axioms) are
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1397.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | (11110) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11110) implies:
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | (11111) op(e2, e2) = e1
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11085), (11111), (function-axioms) are
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1468.
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | | End of split
% 161.09/23.79 | | | | | | | | | | | | | | | | |
% 161.09/23.79 | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.79 | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | (11112) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 161.09/23.80 | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 161.09/23.80 | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 161.09/23.80 | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 161.09/23.80 | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 161.09/23.80 | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 161.09/23.80 | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 161.09/23.80 | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 161.09/23.80 | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 161.09/23.80 | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.80 | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | BETA: splitting (11112) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (11113) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 161.09/23.80 | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 161.09/23.80 | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 161.09/23.80 | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | BETA: splitting (11113) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (11114) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (11114) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (11115) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | ALPHA: (11115) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (11116) op(e0, e0) = e1
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11093), (11116), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1431.
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (11117) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | ALPHA: (11117) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (11118) op(e2, e1) = e2
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8319), (11118), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (11119) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (11119) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (11120) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | ALPHA: (11120) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (11121) op(e0, e0) = e1
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11093), (11121), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1431.
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (11122) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (11085), (11122), (function-axioms)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #545.
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (11123) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 161.09/23.80 | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 161.09/23.80 | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 161.09/23.80 | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.80 | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | BETA: splitting (11123) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (11124) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (11124) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (11125) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | ALPHA: (11125) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (11126) op(e2, e0) = e2
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11084), (11126), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (11127) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | ALPHA: (11127) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (11128) op(e3, e3) = e0
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11074), (11128), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1228.
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (11129) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (11129) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (11130) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | ALPHA: (11130) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (11131) op(e2, e0) = e2
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (11084), (11131), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (11132) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11132) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | (11133) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11133) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | (11134) op(e2, e2) = e0
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11085), (11134), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | (11135) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11135) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | (11136) op(e0, e0) = all_57_31
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | (11137) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (11093),
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | (11136) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | (11138) all_57_31 = e2
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11137) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | (11139) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11139) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | (11140) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11140) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | (11141) op(e2, e2) = e3
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11085), (11141), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | (11142) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11142) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | (11143) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11143) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | (11144) op(e1, e1) = e3
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8326), (11144), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | (11145) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11145) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | (11146) ~ (all_57_31 = e2)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11093), (11136), (11146), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1239.
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | (11147) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11147) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | (11148) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11148) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | (11149) ~ (all_57_31 = e2)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11093), (11136), (11149), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1239.
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | (11150) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11150) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | (11151) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11151) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | (11152) ~ (all_57_31 = e1)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | (11153) op(e3, e3) = e1
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11074), (11153), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | (11154) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11154) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | (11155) op(e2, e2) = e1
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11085), (11155), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1468.
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | (11156) all_54_5 = e1 | all_54_5 = e0
% 161.09/23.80 | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | REF_CLOSE: (268), (373), (11078), (11156) are inconsistent by
% 161.09/23.80 | | | | | | | | | | | | | | sub-proof #1084.
% 161.09/23.80 | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | End of split
% 161.09/23.80 | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | (11157) all_20_2 = e0
% 161.09/23.80 | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | COMBINE_EQS: (283), (11157) imply:
% 161.09/23.80 | | | | | | | | | | | | (11158) all_6_2 = e0
% 161.09/23.80 | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | SIMP: (11158) implies:
% 161.09/23.80 | | | | | | | | | | | | (11159) all_6_2 = e0
% 161.09/23.80 | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | REDUCE: (355), (11159) imply:
% 161.09/23.80 | | | | | | | | | | | | (11160) ~ (all_52_7 = e0)
% 161.09/23.80 | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | REDUCE: (357), (11159) imply:
% 161.09/23.80 | | | | | | | | | | | | (11161) ~ (all_52_9 = e0)
% 161.09/23.80 | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | REDUCE: (359), (11159) imply:
% 161.09/23.80 | | | | | | | | | | | | (11162) ~ (all_52_13 = e0)
% 161.09/23.80 | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | REDUCE: (11076), (11159) imply:
% 161.09/23.80 | | | | | | | | | | | | (11163) ~ (e3 = e0)
% 161.09/23.80 | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | REDUCE: (373), (11159) imply:
% 161.09/23.80 | | | | | | | | | | | | (11164) ~ (e1 = e0)
% 161.09/23.80 | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | REDUCE: (39), (11159) imply:
% 161.09/23.80 | | | | | | | | | | | | (11165) op(e2, e2) = e0
% 161.09/23.80 | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | BETA: splitting (103) gives:
% 161.09/23.80 | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | (11166) ~ (all_48_2 = e2)
% 161.09/23.80 | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | REDUCE: (8315), (11166) imply:
% 161.09/23.80 | | | | | | | | | | | | | (11167) $false
% 161.09/23.80 | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | CLOSE: (11167) is inconsistent.
% 161.09/23.80 | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | (11168) ( ~ (all_48_0 = e3) & op(e2, e1) = all_48_0 &
% 161.09/23.80 | | | | | | | | | | | | | $i(all_48_0)) | ( ~ (all_48_1 = e0) & op(e2, e2)
% 161.09/23.80 | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 161.09/23.80 | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | BETA: splitting (223) gives:
% 161.09/23.80 | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | (11169) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 161.09/23.80 | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 161.09/23.80 | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | REF_CLOSE: (5), (167), (11067), (11165), (11169),
% 161.09/23.80 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.80 | | | | | | | | | | | | | | #730.
% 161.09/23.80 | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | (11170) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 161.09/23.80 | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.80 | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | BETA: splitting (11170) gives:
% 161.09/23.80 | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | (11171) all_56_5 = e2 & op(e2, e1) = e2
% 161.09/23.80 | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | ALPHA: (11171) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | (11172) op(e2, e1) = e2
% 161.09/23.80 | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | REF_CLOSE: (165), (8319), (11172), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 161.09/23.80 | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | (11173) all_56_10 = e2 & op(e2, e0) = e2
% 161.09/23.80 | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | ALPHA: (11173) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | (11174) all_56_10 = e2
% 161.09/23.80 | | | | | | | | | | | | | | | (11175) op(e2, e0) = e2
% 161.09/23.80 | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 161.09/23.80 | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | (11176) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 161.09/23.80 | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 161.09/23.80 | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (170), (11069), (11165), (11176),
% 161.09/23.80 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.80 | | | | | | | | | | | | | | | | #723.
% 161.09/23.80 | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | (11177) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 161.09/23.80 | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 161.09/23.80 | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | BETA: splitting (11177) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | (11178) all_56_7 = e2 & op(e1, e2) = e2
% 161.09/23.80 | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | ALPHA: (11178) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | (11179) op(e1, e2) = e2
% 161.09/23.80 | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8317), (11179), (function-axioms) are
% 161.09/23.80 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1398.
% 161.09/23.80 | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.80 | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | (11180) all_56_13 = e2 & op(e0, e2) = e2
% 161.09/23.80 | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | ALPHA: (11180) implies:
% 161.09/23.80 | | | | | | | | | | | | | | | | | (11181) all_56_13 = e2
% 161.09/23.80 | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | (11182) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 161.09/23.80 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 161.09/23.80 | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | BETA: splitting (11182) gives:
% 161.09/23.80 | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.80 | | | | | | | | | | | | | | | | | | | (11183) all_56_2 = e0 & op(e2, e3) = e0
% 161.09/23.80 | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | ALPHA: (11183) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | (11184) all_56_2 = e0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (11165),
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | (11174), (11184), (function-axioms) are
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #983.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | (11185) all_56_3 = e0 & op(e2, e2) = e0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | ALPHA: (11185) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | (11186) all_56_3 = e0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (11168) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | (11187) ~ (all_48_0 = e3) & op(e2, e1) = all_48_0 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | $i(all_48_0)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | ALPHA: (11187) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | (11188) ~ (all_48_0 = e3)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | (11189) op(e2, e1) = all_48_0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (11175) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | (11190) all_52_13 = e2
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | all_48_0, e1, e2, simplifying with (165), (11189)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | (11191) all_52_9 = all_48_0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11191) imply:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | (11192) all_54_6 = all_48_0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (8319), (11191) imply:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | (11193) ~ (all_48_0 = e2)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (11161), (11191) imply:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | (11194) ~ (all_48_0 = e0)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (11190) imply:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | (11195) ~ (all_10_2 = e2)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | SIMP: (11195) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | (11196) ~ (all_10_2 = e2)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | (11197) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11197) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | (11198) all_56_2 = e1 & op(e2, e3) = e1
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11198) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | (11199) all_56_2 = e1
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (11200) all_54_6 = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11192), (11200) imply:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (11201) all_48_0 = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11188), (11201) imply:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (11202) $false
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11202) is inconsistent.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (11203) ~ (all_54_6 = e3)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (11204) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11204) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (11205) all_54_6 = e2
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11192), (11205) imply:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (11206) all_48_0 = e2
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11193), (11206) imply:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (11207) $false
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11207) is inconsistent.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (11208) ~ (all_54_6 = e2)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (11209) all_54_6 = e1 | all_54_6 = e0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (165), (223), (224), (8319),
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (11165), (11188), (11189), (11192), (11193),
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (11194), (11199), (11209), (function-axioms) are
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #255.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | (11210) all_56_3 = e1 & op(e2, e2) = e1
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11210) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | (11211) op(e2, e2) = e1
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11165), (11211), (function-axioms) are
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | (11212) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11212) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | (11213) all_56_5 = e1 & op(e2, e1) = e1
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11213) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | (11214) all_56_5 = e1
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | (11215) op(e2, e1) = e1
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (11216) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11216) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (11217) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11217) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11218) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (8326), (8327), (11218),
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | #549.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11219) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (45), (8327), (11165), (11219),
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | #465.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (11220) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11220) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11221) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (11074), (11196), (11221), (function-axioms)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #254.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11222) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11222) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (11223) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11223) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (11224) ~ (all_57_30 = e2)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (11225) op(e1, e1) = all_57_30
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8326), (11224), (11225), (function-axioms) are
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1397.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (11226) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (45), (11165), (11196), (11226),
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | #1081.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (11227) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11227) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (11228) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11228) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11229) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11229) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (11230) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11230) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (11231) op(e3, e1) = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11232) all_54_6 = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11192), (11232) imply:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11233) all_48_0 = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11188), (11233) imply:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11234) $false
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11234) is inconsistent.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11235) ~ (all_54_6 = e3)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11236) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11236) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11237) all_54_6 = e2
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11192), (11237) imply:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11238) all_48_0 = e2
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11193), (11238) imply:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11239) $false
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11239) is inconsistent.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11240) ~ (all_54_6 = e2)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11241) all_54_6 = e1 | all_54_6 = e0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11242) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11242) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11243) all_56_2 = e3 & op(e2, e3) = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11243) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11244) all_56_2 = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11245) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11245) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11246) all_56_12 = e3 & op(e0, e3) = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11246) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11247) all_56_12 = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (222), (223),
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (8319), (11073), (11074),
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11165), (11174), (11186), (11188), (11189),
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11192), (11193), (11194), (11214), (11215),
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11241), (11244), (11247), (function-axioms) are
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #252.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11248) all_56_13 = e3 & op(e0, e2) = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11181), (11248) are inconsistent by
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1032.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11249) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11249) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11250) all_56_14 = e3 & op(e0, e1) = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11250) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11251) all_56_14 = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11252) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11252) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11253) all_56_4 = e0 & op(e3, e1) = e0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11253) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11254) op(e3, e1) = e0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11231), (11254), (function-axioms) are
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1458.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11255) all_56_5 = e0 & op(e2, e1) = e0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11255) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11256) all_56_5 = e0
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (11165),
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11174), (11256), (function-axioms) are
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #809.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11257) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (220),
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (224), (8326), (11165), (11174), (11215),
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11244), (11251), (11257), (function-axioms) are
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #250.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11258) all_56_15 = e3 & op(e0, e0) = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11258) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11259) op(e0, e0) = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (11259), (function-axioms) are
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11260) all_56_3 = e3 & op(e2, e2) = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11260) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11261) op(e2, e2) = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11165), (11261), (function-axioms) are
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11262) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (11174), (11215), (11262),
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #249.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (11263) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11263) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (11264) op(e2, e1) = e2
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8319), (11264), (function-axioms) are
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | (11265) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11265) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (11266) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11266) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (11267) op(e2, e1) = e2
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8319), (11267), (function-axioms) are
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (11268) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11268) gives:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11269) all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11269) implies:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11270) ~ (all_57_27 = e2)
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11271) op(e2, e0) = all_57_27
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11175), (11270), (11271), (function-axioms) are
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #727.
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11272) all_57_25 = e3 & all_57_30 = e0 & ~ (all_57_26 =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e3, e3) =
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e1, e1) = e0 &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_26) &
% 161.09/23.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11272) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11273) op(e1, e1) = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (11273), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | (11274) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11274) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | (11275) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11275) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (11276) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11276) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (11277) ~ (all_57_28 = e0)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (11278) op(e2, e2) = all_57_28
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11165), (11277), (11278), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1060.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (11279) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11279) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (11280) op(e3, e3) = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11074), (11280), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1228.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | (11281) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11281) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (11282) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11282) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (11283) op(e1, e1) = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (11283), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (11284) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11284) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11285) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11285) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11286) ~ (all_57_27 = e2)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11287) op(e2, e0) = all_57_27
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11175), (11286), (11287), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #727.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11288) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11288) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11289) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11290) all_54_6 = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11192), (11290) imply:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11291) all_48_0 = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11291) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11292) all_48_0 = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11188), (11292) imply:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11293) $false
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11293) is inconsistent.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11294) ~ (all_54_6 = e3)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11295) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11296) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11296) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11297) all_56_12 = e3 & op(e0, e3) = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11297) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11298) all_56_12 = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11299) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11299) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11300) all_56_2 = e3 & op(e2, e3) = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11300) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11301) all_56_2 = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11295) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11302) all_54_6 = e2
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11192), (11302) imply:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11303) all_48_0 = e2
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11303) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11304) all_48_0 = e2
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11193), (11304) imply:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11305) $false
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11305) is inconsistent.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11306) all_54_6 = e1 | all_54_6 = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (222), (223),
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (229), (231), (8319), (11073), (11074),
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11165), (11174), (11186), (11188), (11189),
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11192), (11193), (11194), (11214), (11215),
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11298), (11301), (11306), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #252.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11307) all_56_3 = e3 & op(e2, e2) = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11307) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11308) op(e2, e2) = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11165), (11308), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11309) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (11174), (11215), (11309),
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #249.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11310) all_56_13 = e3 & op(e0, e2) = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11181), (11310) are inconsistent by
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1032.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11311) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11311) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11312) all_56_14 = e3 & op(e0, e1) = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11312) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11313) all_56_14 = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11314) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11314) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11315) all_56_2 = e3 & op(e2, e3) = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11315) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11316) all_56_2 = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11317) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11317) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11318) all_56_4 = e0 & op(e3, e1) = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11318) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11319) op(e3, e1) = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11289) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11320) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11320) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11321) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11321) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11322) op(e2, e2) = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (165), (221), (223), (8312),
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319), (11316), (11322), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #352.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11323) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11323) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11324) all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11324) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11325) op(e1, e1) = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8326), (11325), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11326) all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e2) & op(e3, e3) = e2 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e0, e2) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11326) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11327) op(e0, e2) = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11160), (11327), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1190.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11328) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11328) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11329) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11329) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11330) op(e0, e2) = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11160), (11330), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1190.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11331) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11331) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11332) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11332) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11333) op(e0, e1) = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (157), (220), (224), (8326),
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11165), (11174), (11215), (11316), (11319),
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11333), (function-axioms) are inconsistent by
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #251.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11334) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11334) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11335) op(e2, e2) = e1
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11165), (11335), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11336) all_56_5 = e0 & op(e2, e1) = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11336) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11337) all_56_5 = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (11165),
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11174), (11337), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #809.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11338) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (217), (220),
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (224), (8326), (11165), (11174), (11215),
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11313), (11316), (11338), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #250.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11339) all_56_3 = e3 & op(e2, e2) = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11339) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11340) op(e2, e2) = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11165), (11340), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11341) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (11174), (11215), (11341),
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #249.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11342) all_56_15 = e3 & op(e0, e0) = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11342) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11343) op(e0, e0) = e3
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (11343), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | (11344) all_56_10 = e1 & op(e2, e0) = e1
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11174), (11344) are inconsistent by
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | | sub-proof #984.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | (11345) ~ (all_48_1 = e0) & op(e2, e2) = all_48_1 &
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | ALPHA: (11345) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | (11346) ~ (all_48_1 = e0)
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | (11347) op(e2, e2) = all_48_1
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11165), (11346), (11347), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #357.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | (11348) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 161.09/23.82 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 161.09/23.82 | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | BETA: splitting (11348) gives:
% 161.09/23.82 | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | (11349) all_56_5 = e0 & op(e2, e1) = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | ALPHA: (11349) implies:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | (11350) all_56_5 = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (222), (224), (11165),
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | (11174), (11350), (function-axioms) are
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #809.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | (11351) all_56_10 = e0 & op(e2, e0) = e0
% 161.09/23.82 | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11174), (11351) are inconsistent by
% 161.09/23.82 | | | | | | | | | | | | | | | | | | | sub-proof #1199.
% 161.09/23.82 | | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | End of split
% 161.09/23.82 | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | Case 2:
% 161.09/23.82 | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | (11352) all_16_2 = e3
% 161.09/23.82 | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | COMBINE_EQS: (328), (11352) imply:
% 161.09/23.82 | | | | | | | | | | | (11353) all_6_2 = e3
% 161.09/23.82 | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | SIMP: (11353) implies:
% 161.09/23.82 | | | | | | | | | | | (11354) all_6_2 = e3
% 161.09/23.82 | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | REDUCE: (351), (11354) imply:
% 161.09/23.82 | | | | | | | | | | | (11355) ~ (all_52_4 = e3)
% 161.09/23.82 | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | REDUCE: (353), (11354) imply:
% 161.09/23.82 | | | | | | | | | | | (11356) ~ (all_52_6 = e3)
% 161.09/23.82 | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | REDUCE: (357), (11354) imply:
% 161.09/23.82 | | | | | | | | | | | (11357) ~ (all_52_9 = e3)
% 161.09/23.82 | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | REDUCE: (359), (11354) imply:
% 161.09/23.82 | | | | | | | | | | | (11358) ~ (all_52_13 = e3)
% 161.09/23.82 | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | REDUCE: (39), (11354) imply:
% 161.09/23.82 | | | | | | | | | | | (11359) op(e2, e2) = e3
% 161.09/23.82 | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | BETA: splitting (8312) gives:
% 161.09/23.82 | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | Case 1:
% 161.09/23.82 | | | | | | | | | | | |
% 161.09/23.82 | | | | | | | | | | | | (11360) ~ (all_8_0 = e0) & op(e2, e1) = all_8_0 &
% 161.09/23.82 | | | | | | | | | | | | $i(all_8_0)
% 161.09/23.83 | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | ALPHA: (11360) implies:
% 161.09/23.83 | | | | | | | | | | | | (11361) ~ (all_8_0 = e0)
% 161.09/23.83 | | | | | | | | | | | | (11362) op(e2, e1) = all_8_0
% 161.09/23.83 | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | BETA: splitting (223) gives:
% 161.09/23.83 | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | (11363) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 161.09/23.83 | | | | | | | | | | | | | & op(e2, e2) = e2)
% 161.09/23.83 | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | REF_CLOSE: (9), (167), (11067), (11359), (11363),
% 161.09/23.83 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.83 | | | | | | | | | | | | | #556.
% 161.09/23.83 | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | (11364) (all_56_5 = e2 & op(e2, e1) = e2) | (all_56_10 =
% 161.09/23.83 | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.83 | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | BETA: splitting (11364) gives:
% 161.09/23.83 | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | (11365) all_56_5 = e2 & op(e2, e1) = e2
% 161.09/23.83 | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | ALPHA: (11365) implies:
% 161.09/23.83 | | | | | | | | | | | | | | (11366) op(e2, e1) = e2
% 161.09/23.83 | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | REF_CLOSE: (165), (8319), (11366), (function-axioms) are
% 161.09/23.83 | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 161.09/23.83 | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | (11367) all_56_10 = e2 & op(e2, e0) = e2
% 161.09/23.83 | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | ALPHA: (11367) implies:
% 161.09/23.83 | | | | | | | | | | | | | | (11368) all_56_10 = e2
% 161.09/23.83 | | | | | | | | | | | | | | (11369) op(e2, e0) = e2
% 161.09/23.83 | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 161.09/23.83 | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | (11370) (all_56_1 = e2 & op(e3, e2) = e2) | (all_56_3 = e2
% 161.09/23.83 | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 161.09/23.83 | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (11069), (11359), (11370),
% 161.09/23.83 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.83 | | | | | | | | | | | | | | | #557.
% 161.09/23.83 | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | (11371) (all_56_7 = e2 & op(e1, e2) = e2) | (all_56_13 =
% 161.09/23.83 | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 161.09/23.83 | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | BETA: splitting (11371) gives:
% 161.09/23.83 | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | (11372) all_56_7 = e2 & op(e1, e2) = e2
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | ALPHA: (11372) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11373) op(e1, e2) = e2
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 161.09/23.83 | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (11373) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11374) all_52_6 = e2
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | REDUCE: (8317), (11374) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11375) $false
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | CLOSE: (11375) is inconsistent.
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | (11376) all_56_13 = e2 & op(e0, e2) = e2
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | ALPHA: (11376) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11377) all_56_13 = e2
% 161.09/23.83 | | | | | | | | | | | | | | | | (11378) op(e0, e2) = e2
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 161.09/23.83 | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (11378) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11379) all_52_7 = e2
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 161.09/23.83 | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (11369) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11380) all_52_13 = e2
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 161.09/23.83 | | | | | | | | | | | | | | | | all_8_0, e1, e2, simplifying with (165), (11362)
% 161.09/23.83 | | | | | | | | | | | | | | | | gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11381) all_52_9 = all_8_0
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (11381) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11382) all_54_6 = all_8_0
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | REDUCE: (125), (11379) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11383) ~ (all_52_11 = e2)
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | REDUCE: (123), (11381) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11384) ~ (all_52_8 = all_8_0)
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | REDUCE: (118), (11381) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11385) ~ (all_52_11 = all_8_0)
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | SIMP: (11385) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11386) ~ (all_52_11 = all_8_0)
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | REDUCE: (11357), (11381) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11387) ~ (all_8_0 = e3)
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | REDUCE: (8319), (11381) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11388) ~ (all_8_0 = e2)
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | REDUCE: (110), (11380) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11389) ~ (all_52_14 = e2)
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | REDUCE: (370), (11380) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11390) ~ (all_10_2 = e2)
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | SIMP: (11390) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11391) ~ (all_10_2 = e2)
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | REDUCE: (11358), (11380) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | (11392) ~ (e3 = e2)
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | (11393) all_54_6 = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | REF_CLOSE: (11382), (11387), (11393) are inconsistent by
% 161.09/23.83 | | | | | | | | | | | | | | | | | sub-proof #351.
% 161.09/23.83 | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | (11394) ~ (all_54_6 = e3)
% 161.09/23.83 | | | | | | | | | | | | | | | | | (11395) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | (11396) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 161.09/23.83 | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | BETA: splitting (11396) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | (11397) all_56_2 = e0 & op(e2, e3) = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | ALPHA: (11397) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | (11398) op(e2, e3) = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (11395) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | (11399) all_54_6 = e2
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11382), (11388), (11399) are inconsistent by
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | sub-proof #350.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | (11400) ~ (all_54_6 = e2)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | (11401) all_54_6 = e1 | all_54_6 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11401) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | (11402) all_54_6 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11382), (11402) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | (11403) all_8_0 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | SIMP: (11403) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | (11404) all_8_0 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11384), (11404) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | (11405) ~ (all_52_8 = e1)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11386), (11404) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | (11406) ~ (all_52_11 = e1)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11387), (11404) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | (11407) ~ (e3 = e1)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11388), (11404) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | (11408) ~ (e2 = e1)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11362), (11404) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | (11409) op(e2, e1) = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | (11410) ~ (all_22_2 = e2)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11066), (11410) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | (11411) $false
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11411) is inconsistent.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | (11412) ( ~ (all_22_0 = e0) & op(e2, e3) = all_22_0 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)) | ( ~ (all_22_1 = e1) & op(e2, e2)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11412) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | (11413) ~ (all_22_0 = e0) & op(e2, e3) = all_22_0 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_0)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11413) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | (11414) ~ (all_22_0 = e0)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | (11415) op(e2, e3) = all_22_0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11398), (11414), (11415), (function-axioms) are
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #248.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | (11416) ~ (all_22_1 = e1) & op(e2, e2) = all_22_1 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11416) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | (11417) ~ (all_22_1 = e1)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | (11418) op(e2, e2) = all_22_1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | (11419) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11419) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | (11420) all_56_4 = e1 & op(e3, e1) = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11420) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | (11421) all_56_4 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (165), (206),
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (217), (220), (221), (223), (224),
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | (231), (235), (8319), (8326), (8327), (11073),
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | (11357), (11359), (11361), (11362), (11368),
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | (11377), (11378), (11409), (11421),
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | #240.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | (11422) all_56_5 = e1 & op(e2, e1) = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11422) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | (11423) all_56_5 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_22_1,
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (11359), (11418) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | (11424) all_22_1 = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (11425) ~ (all_40_2 = e1)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (307), (11425) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (11426) ~ (all_10_2 = e1)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11427) all_54_15 = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (11427) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11428) all_10_2 = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8327), (11428) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11429) $false
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11429) is inconsistent.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11430) ~ (all_54_15 = e3)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11431) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11432) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11432) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11433) all_56_12 = e1 & op(e0, e3) = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11433) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11434) all_56_12 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11435) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11359), (11434), (11435), (function-axioms) are
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #676.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11436) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11436) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11437) all_56_14 = e3 & op(e0, e1) = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11437) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11438) all_56_14 = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11439) all_56_15 = e0 & op(e0, e0) = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11439) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11440) all_56_15 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11441) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11441) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11442) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11442) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11443) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (45), (8326), (8327), (11443),
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #549.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11444) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11444) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11445) all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11445) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11446) op(e1, e3) = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11447) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (221), (11073), (11359), (11361),
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11362), (11368), (11447), (function-axioms) are
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #244.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11448) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11448) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11449) all_56_6 = e3 & op(e1, e3) = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11449) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11450) op(e1, e3) = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11431) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11451) all_54_15 = e2
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (11391), (11451) are inconsistent by
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11452) all_54_15 = e1 | all_54_15 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11452) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11453) all_54_15 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (11426), (11453) are inconsistent by
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1213.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11454) all_54_15 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (11454) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11455) all_10_2 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11455) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11456) all_10_2 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (11456) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11457) ~ (all_52_11 = e0)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11458) all_54_14 = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11458) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11459) all_52_11 = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11459) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11460) all_52_11 = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (11460) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11461) ~ (all_52_8 = e3)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11462) all_54_2 = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (11461), (11462) are inconsistent by
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1068.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11463) ~ (all_54_2 = e3)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11464) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11464) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11465) all_54_2 = e2
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (8318), (11465) are inconsistent by
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1067.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11466) ~ (all_54_2 = e2)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11467) all_54_2 = e1 | all_54_2 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11467) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11468) all_54_2 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (11405), (11468) are inconsistent by
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1066.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11469) all_54_2 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (271), (11469) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11470) all_52_8 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11470) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11471) all_52_8 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (11471) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11472) ~ (all_52_4 = e0)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11461), (11471) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11473) ~ (e3 = e0)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8318), (11471) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11474) ~ (e2 = e0)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11475) all_54_1 = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (11355), (11475) are inconsistent by
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1252.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11476) ~ (all_54_1 = e3)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11477) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11478) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11478) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11479) all_56_4 = e0 & op(e3, e1) = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11479) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11480) all_56_4 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11477) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11481) all_54_1 = e2
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11481) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11482) all_52_4 = e2
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11069), (11482) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11483) $false
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11483) is inconsistent.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11484) all_54_1 = e1 | all_54_1 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11484) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11485) all_54_1 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11485) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11486) all_52_4 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11486) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11487) ~ (all_52_6 = e1)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11487) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11488) ~ (all_52_6 = e1)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11489) all_54_9 = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (11356), (11489) are inconsistent by
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1254.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11490) ~ (all_54_9 = e3)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11491) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11491) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11492) all_54_9 = e2
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (11492) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11493) all_52_6 = e2
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8317), (11493) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11494) $false
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11494) is inconsistent.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11495) all_54_9 = e1 | all_54_9 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11495) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11496) all_54_9 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (11496) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11497) all_52_6 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11488), (11497) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11498) $false
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11498) is inconsistent.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11499) all_54_9 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (11499) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11500) all_52_6 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (11446), (11450) gives:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11501) e3 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11438), (11501) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11502) all_56_14 = e1
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (220), (8326), (11409), (11480),
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11502), (function-axioms) are inconsistent by
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #344.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11503) all_54_1 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11503) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11504) all_52_4 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11472), (11504) imply:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11505) $false
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11505) is inconsistent.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11506) all_56_5 = e0 & op(e2, e1) = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11506) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11507) op(e2, e1) = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11361), (11362), (11507), (function-axioms) are
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #534.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11508) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (45), (209), (8326), (8327),
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11377), (11434), (11508), (function-axioms) are
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #247.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11509) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8320), (11406), (11457), (11509) are
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #863.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11510) all_56_12 = e3 & op(e0, e3) = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (217), (220), (8326),
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11361), (11362), (11409), (11434), (11438),
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11510), (function-axioms) are inconsistent by
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #239.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11511) all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18 &
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e3 & $i(all_57_18) & $i(all_57_30)
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11511) implies:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11512) op(e0, e0) = e3
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (11512), (function-axioms) are
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11513) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11513) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11514) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11514) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11515) all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11515) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11516) op(e3, e2) = e3
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (11355), (11516), (function-axioms) are
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1394.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11517) all_57_19 = e3 & all_57_31 = e2 & ~ (all_57_21 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e2) & op(e3, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e0, e2) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e0) = e2 & $i(all_57_21) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11517) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11518) op(e0, e0) = e2
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (206), (209),
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (11377), (11378), (11434), (11518),
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #313.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11519) (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11519) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11520) all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e1, e2) = e1 & op(e1,
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_19) & $i(all_57_30)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11520) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11521) ~ (all_57_30 = e2)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11522) op(e1, e1) = all_57_30
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8326), (11521), (11522), (function-axioms) are
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1397.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11523) (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11523) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11524) all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_30)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11524) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11525) op(e0, e0) = e2
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (206), (209),
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8327), (11377), (11378), (11434), (11525),
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #313.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11526) all_57_22 = e3 & all_57_28 = e1 & ~ (all_57_23 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e2, e2) = e1 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & $i(all_57_23) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11526) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11527) op(e2, e2) = e1
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11359), (11527), (function-axioms) are
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11528) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11528) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11529) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11529) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11530) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11530) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11531) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11531) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11532) op(e3, e1) = e3
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (190), (246), (247), (368), (8320),
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11391), (11406), (11426), (11431), (11532),
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #238.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11533) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11533) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11534) op(e2, e1) = e2
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8319), (11534), (function-axioms) are
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1416.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11535) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (165), (8319), (8326), (11359), (11535),
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #329.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11536) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11536) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11537) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11074), (11537), (function-axioms) are
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #237.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11538) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11538) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11539) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11539) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11540) op(e1, e1) = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (11540), (function-axioms) are
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11541) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11541) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11542) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11542) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11543) op(e2, e2) = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11359), (11543), (function-axioms) are
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11544) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 & op(e0, e1) = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_22)) | (all_57_24 = e0 & all_57_28
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ~ (all_57_23 = e2) & ~ (all_57_31 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e2, e2) = e1 & op(e2, e1) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & op(e0, e1) = e0 & $i(all_57_23)))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11544) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11545) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11545) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11546) (all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) | (all_57_21 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e0, e2) = e0 & $i(all_57_19))
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11546) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11547) all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11547) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11548) all_57_28 = e3
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11549) all_57_18 = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11550) ~ (all_57_16 = e2)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11431) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11551) all_54_15 = e2
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (11391), (11551) are inconsistent by
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1264.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11552) ~ (all_54_15 = e2)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11553) all_54_15 = e1 | all_54_15 = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11553) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11554) all_54_15 = e1
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (246), (11426), (11554) are inconsistent by
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1213.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11555) all_54_15 = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (246), (11555) imply:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11556) all_10_2 = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11556) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11557) all_10_2 = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (368), (11557) imply:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11558) ~ (all_52_11 = e0)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11391), (11557) imply:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11559) ~ (e2 = e0)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11426), (11557) imply:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11560) ~ (e1 = e0)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (11557) imply:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11561) op(e0, e0) = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11562) all_54_14 = e3
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (11562) imply:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11563) all_52_11 = e3
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11563) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11564) all_52_11 = e3
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (11564) imply:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11565) ~ (all_52_8 = e3)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11566) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_1 = e3
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (11073), (11355), (11566),
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #672.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11567) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_9 = e3
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11567) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11568) all_56_4 = e3 & op(e3, e1) = e3
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11568) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11569) op(e3, e1) = e3
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11565), (11569), (function-axioms) are
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11570) all_56_9 = e3 & op(e3, e0) = e3
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11570) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11571) all_56_9 = e3
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11572) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11572) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11573) all_56_0 = e1 & op(e3, e3) = e1
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8319), (11073), (11359), (11361), (11362),
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11368), (11409), (11573), (function-axioms) are
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #243.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11574) all_56_1 = e1 & op(e3, e2) = e1
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11574) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11575) all_56_1 = e1
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11576) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (11359), (11575), (11576),
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #236.
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11577) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11577) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11578) all_56_7 = e0 & op(e1, e2) = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11578) implies:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11579) op(e1, e2) = e0
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11580) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11580) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11581) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11581) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11582) (all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11548), (11550), (11582) are inconsistent by
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #924.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11583) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11583) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11584) (all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8326), (11579), (11584), (function-axioms)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #646.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11585) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11585) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11586) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (8326), (11558), (11561), (11579), (11586),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #533.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11587) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11587) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11588) op(e0, all_57_18) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11549), (11588) imply:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11589) op(e0, e0) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (11589), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11590) all_56_13 = e0 & op(e0, e2) = e0
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (207), (208), (11438),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11440), (11561), (11590), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #235.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11591) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11591) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11592) all_56_4 = e1 & op(e3, e1) = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (157), (217), (8326), (11423), (11558),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11592), (function-axioms) are inconsistent by
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #457.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11593) all_56_9 = e1 & op(e3, e0) = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11593) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11594) all_56_9 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11571), (11594) imply:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11595) e3 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11438), (11595) imply:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11596) all_56_14 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (217), (220), (8326),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11361), (11362), (11409), (11596),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #311.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11597) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8320), (11406), (11558), (11597) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #863.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11598) (all_57_18 = e0 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e3) & op(e1, e3) =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_17 & op(e1, e1) = e3 & op(e0, e3) = e0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17)) | (all_57_21 = e0 & all_57_26 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19))
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (8326), (11378), (11598),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #567.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11599) (all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)) | (all_57_24 = e0 & all_57_26 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) | (all_57_24 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e2, e2) = e1 & op(e2, e1)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_23 & op(e0, e1) = e0 & $i(all_57_23))
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11599) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11600) all_57_21 = e0 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_31 = e2) & op(e1, e2) =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & op(e0, e2) = e0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11600) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11601) op(e0, e2) = e0
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11378), (11601), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #819.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11602) (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)) | (all_57_24 = e0 & all_57_28 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11602) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11603) all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_31 = e1) & op(e3, e3) = e1 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e0, e1) = e0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11603) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11604) op(e0, e1) = e0
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (246), (368), (11391), (11426), (11431),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11604), (function-axioms) are inconsistent by
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #234.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11605) all_57_24 = e0 & all_57_28 = e1 & ~ (all_57_23 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_31 = e1) & op(e2, e2) = e1 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_57_23 & op(e0, e1) = e0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11605) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11606) op(e2, e2) = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11359), (11606), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1279.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11607) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11607) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11608) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (165), (209),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (223), (224), (231), (235),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319), (8326), (8327), (11073), (11359), (11361),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11362), (11368), (11377), (11378), (11409),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11438), (11608), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #241.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11609) all_56_15 = e3 & op(e0, e0) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11609) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11610) op(e0, e0) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (11610), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11611) all_56_13 = e1 & op(e0, e2) = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8319), (11359), (11361), (11362), (11368),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11377), (11409), (11611), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #245.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11612) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11612) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11613) all_56_14 = e1 & op(e0, e1) = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11613) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11614) all_56_14 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (217), (220), (8326),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11361), (11362), (11409), (11614),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #311.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11615) all_56_15 = e1 & op(e0, e0) = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11615) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11616) all_56_15 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11617) all_56_15 = e0 & op(e0, e0) = e0
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11616), (11617) are inconsistent by
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1026.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11618) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11618) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11619) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11620) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11620) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11621) all_56_4 = e3 & op(e3, e1) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11621) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11622) op(e3, e1) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (169), (190), (246), (247), (368), (8320),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11391), (11406), (11426), (11431), (11622),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #238.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11623) all_56_5 = e3 & op(e2, e1) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11623) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11624) op(e2, e1) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11357), (11362), (11624),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #257.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11625) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (165), (209),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (223), (224), (231), (235),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8319), (8326), (8327), (11073), (11359), (11361),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11362), (11368), (11377), (11378), (11409),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11619), (11625), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #233.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (11626) all_40_2 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (11627) ( ~ (all_40_0 = e3) & op(e1, e0) = all_40_0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_0)) | ( ~ (all_40_1 = e2) & op(e1, e1)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (307), (11626) imply:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (11628) all_10_2 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (371), (11628) imply:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (11629) ~ (all_52_14 = e1)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11630) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11630) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11631) all_56_12 = e1 & op(e0, e3) = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11631) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11632) all_56_12 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11633) all_56_15 = e0 & op(e0, e0) = e0
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11633) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11634) all_56_15 = e0
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11635) op(e0, e0) = e0
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11636) (all_56_9 = e1 & op(e3, e0) = e1) | (all_56_10 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11636) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11637) all_56_9 = e1 & op(e3, e0) = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11637) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11638) all_56_9 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11639) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11639) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11640) all_56_9 = e3 & op(e3, e0) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11640) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11641) all_56_9 = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11638), (11641) are inconsistent by
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1095.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11642) all_56_10 = e3 & op(e2, e0) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (165), (221), (223), (8319),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11359), (11361), (11362), (11642),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #332.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11643) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11643) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11644) all_56_11 = e3 & op(e1, e0) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8326), (11627), (11644), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #231.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11645) all_56_15 = e3 & op(e0, e0) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11645) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11646) op(e0, e0) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (11646), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11647) all_56_10 = e1 & op(e2, e0) = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11647) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11648) all_56_10 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8319), (11359), (11361), (11362), (11409),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11648), (function-axioms) are inconsistent by
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #326.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11649) (all_56_11 = e1 & op(e1, e0) = e1) | (all_56_15 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11649) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11650) all_56_11 = e1 & op(e1, e0) = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11650) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11651) all_56_11 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11652) op(e1, e0) = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11653) (all_56_9 = e3 & op(e3, e0) = e3) | (all_56_10 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11653) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11654) all_56_9 = e3 & op(e3, e0) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11654) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11655) all_56_9 = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11656) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11656) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11657) all_56_4 = e3 & op(e3, e1) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11657) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11658) all_56_4 = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11659) op(e3, e1) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11660) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11660) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11661) all_56_6 = e3 & op(e1, e3) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11661) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11662) all_56_6 = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11627) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11663) ~ (all_40_0 = e3) & op(e1, e0) = all_40_0 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_0)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11663) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11664) ~ (all_40_0 = e3)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11665) op(e1, e0) = all_40_0
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11666) (all_56_12 = e3 & op(e0, e3) = e3) | (all_56_13 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11666) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11667) all_56_12 = e3 & op(e0, e3) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11667) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11668) all_56_12 = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11632), (11668) imply:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11669) e3 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11669) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11670) e3 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11658), (11670) imply:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11671) all_56_4 = e1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (209), (217),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8326), (8327), (11361), (11362), (11377),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11632), (11671), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #246.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11672) all_56_13 = e3 & op(e0, e2) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11672) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11673) all_56_13 = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (225), (226), (227),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11359), (11673), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #846.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11674) (all_56_14 = e3 & op(e0, e1) = e3) | (all_56_15 =
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11674) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11675) all_56_14 = e3 & op(e0, e1) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11675) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11676) all_56_14 = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (126), (160),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (193), (195), (209), (213), (250), (258),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8317), (8321), (8326), (8327), (11356), (11377),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11629), (11632), (11652), (11662), (11664),
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11665), (11676), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #229.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11677) all_56_15 = e3 & op(e0, e0) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11677) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11678) op(e0, e0) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (8327), (11678), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1476.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11679) ~ (all_40_1 = e2) & op(e1, e1) = all_40_1 &
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11679) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11680) ~ (all_40_1 = e2)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11681) op(e1, e1) = all_40_1
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8326), (11680), (11681), (function-axioms) are
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #366.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11682) all_56_7 = e3 & op(e1, e2) = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11682) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11683) all_56_7 = e3
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11684) (all_56_0 = e0 & op(e3, e3) = e0) | (all_56_1 = e0
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11684) gives:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11685) all_56_0 = e0 & op(e3, e3) = e0
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11685) implies:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11686) all_56_0 = e0
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11073), (11686) imply:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11687) e2 = e0
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (11687) imply:
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11688) $false
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11688) is inconsistent.
% 161.09/23.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11689) all_56_1 = e0 & op(e3, e2) = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11689) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11690) all_56_1 = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (165), (206),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (217), (220), (221), (223), (224),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (231), (235), (8319), (8326), (8327),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11073), (11357), (11359), (11361), (11362),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11368), (11377), (11378), (11409), (11658),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11683), (11690), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #227.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11691) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_9 = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11691) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11692) all_56_4 = e0 & op(e3, e1) = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11692) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11693) op(e3, e1) = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11659), (11693), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1458.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11694) all_56_9 = e0 & op(e3, e0) = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11655), (11694) are inconsistent by
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #780.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11695) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (160), (8326), (11652), (11695),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #226.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11696) all_56_5 = e3 & op(e2, e1) = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11696) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11697) op(e2, e1) = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (11357), (11362), (11697),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #257.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11698) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11698) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11699) all_56_8 = e3 & op(e1, e1) = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11699) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11700) op(e1, e1) = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8326), (11700), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1317.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11701) all_56_14 = e3 & op(e0, e1) = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11701) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11702) all_56_14 = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11703) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11703) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11704) all_56_6 = e3 & op(e1, e3) = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11704) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11705) all_56_6 = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11627) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11706) ~ (all_40_0 = e3) & op(e1, e0) = all_40_0 &
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_0)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11706) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11707) ~ (all_40_0 = e3)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11708) op(e1, e0) = all_40_0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (126), (160),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (193), (195), (209), (213), (250), (258),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8317), (8321), (8326), (8327), (11356), (11377),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11629), (11632), (11652), (11702), (11705),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11707), (11708), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #229.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11709) ~ (all_40_1 = e2) & op(e1, e1) = all_40_1 &
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11709) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11710) ~ (all_40_1 = e2)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11711) op(e1, e1) = all_40_1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8326), (11710), (11711), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #366.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11712) all_56_7 = e3 & op(e1, e2) = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11712) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11713) all_56_7 = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11714) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11714) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11715) all_56_1 = e0 & op(e3, e2) = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11715) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11716) all_56_1 = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11717) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (221), (11073), (11359), (11361),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11362), (11368), (11717), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #244.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11718) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11718) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11719) all_56_6 = e3 & op(e1, e3) = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11719) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11720) all_56_6 = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11721) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11359), (11716), (11721),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #850.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11722) (all_56_7 = e1 & op(e1, e2) = e1) | (all_56_13 =
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11722) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11723) all_56_7 = e1 & op(e1, e2) = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11723) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11724) all_56_7 = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11713), (11724) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11725) e3 = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11720), (11725) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11726) all_56_6 = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (213), (8326), (11651), (11713),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11726), (function-axioms) are inconsistent by
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #477.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11727) all_56_13 = e1 & op(e0, e2) = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8319), (11359), (11361), (11362), (11368),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11377), (11409), (11727), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11728) all_56_12 = e3 & op(e0, e3) = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (217), (220), (8326),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11361), (11362), (11409), (11632), (11702),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11728), (function-axioms) are inconsistent by
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #239.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11729) all_56_3 = e0 & op(e2, e2) = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11729) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11730) op(e2, e2) = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11359), (11730), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11731) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11731) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11732) all_56_7 = e0 & op(e1, e2) = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11732) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11733) all_56_7 = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11713), (11733) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11734) e3 = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11702), (11734) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11735) all_56_14 = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (45), (209), (8327), (11377),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11632), (11735), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1029.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11736) all_56_13 = e0 & op(e0, e2) = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (207), (208), (11634),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11635), (11702), (11736), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #235.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11737) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_11 =
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (160), (8326), (11652), (11737),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #226.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11738) all_56_10 = e3 & op(e2, e0) = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (165), (221), (223), (8319),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11359), (11361), (11362), (11738),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #332.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11739) (all_56_11 = e3 & op(e1, e0) = e3) | (all_56_15 =
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (45), (160), (8327), (11652), (11739),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1181.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11740) all_56_15 = e1 & op(e0, e0) = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11740) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11741) all_56_15 = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (165), (206),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (216), (217), (220), (221), (223),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (231), (235), (8319),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8326), (8327), (11073), (11357), (11359),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11361), (11362), (11368), (11377), (11378),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11409), (11627), (11741), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #225.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11742) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11742) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11743) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (45), (209), (8327),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11377), (11378), (11632), (11743),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #818.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11744) all_56_13 = e1 & op(e0, e2) = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8319), (11359), (11361), (11362), (11368),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11377), (11409), (11744), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #245.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11745) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11745) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11746) all_56_14 = e1 & op(e0, e1) = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11746) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11747) all_56_14 = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (217), (220), (8326),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11361), (11362), (11409), (11747),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #311.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11748) all_56_15 = e1 & op(e0, e0) = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11748) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11749) all_56_15 = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (45), (165), (206),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (207), (209), (216), (217), (220), (221), (223),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (231), (235), (8319),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8326), (8327), (11073), (11357), (11359),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11361), (11362), (11368), (11377), (11378),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11409), (11627), (11749), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #225.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | (11750) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11750) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | (11751) all_56_8 = e1 & op(e1, e1) = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11751) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | (11752) all_56_8 = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8325), (11752) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | (11753) e2 = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11368), (11753) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | (11754) all_56_10 = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8319), (11359), (11361), (11362), (11409),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | (11754), (function-axioms) are inconsistent by
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #326.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | (11755) all_56_14 = e1 & op(e0, e1) = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11755) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | (11756) all_56_14 = e1
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (217), (220), (8326),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | (11361), (11362), (11409), (11756),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | | #311.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | (11757) all_54_6 = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11361), (11382), (11757) are inconsistent by
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | | sub-proof #258.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | (11758) all_56_3 = e0 & op(e2, e2) = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | ALPHA: (11758) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | (11759) op(e2, e2) = e0
% 161.09/23.86 | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11359), (11759), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 161.09/23.86 | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | (11760) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 161.09/23.86 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 161.09/23.86 | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11361), (11362), (11368), (11760),
% 161.09/23.86 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.86 | | | | | | | | | | | | | | | | | | #355.
% 161.09/23.86 | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | (11761) ~ (all_8_1 = e3) & op(e2, e2) = all_8_1 &
% 161.09/23.86 | | | | | | | | | | | | $i(all_8_1)
% 161.09/23.86 | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | ALPHA: (11761) implies:
% 161.09/23.86 | | | | | | | | | | | | (11762) ~ (all_8_1 = e3)
% 161.09/23.86 | | | | | | | | | | | | (11763) op(e2, e2) = all_8_1
% 161.09/23.86 | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | REF_CLOSE: (11359), (11762), (11763), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | | | inconsistent by sub-proof #353.
% 161.09/23.86 | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | (11764) all_56_2 = e2 & op(e2, e3) = e2
% 161.09/23.86 | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | ALPHA: (11764) implies:
% 161.09/23.86 | | | | | | | | | | (11765) op(e2, e3) = e2
% 161.09/23.86 | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | REF_CLOSE: (167), (11067), (11765), (function-axioms) are
% 161.09/23.86 | | | | | | | | | | inconsistent by sub-proof #1330.
% 161.09/23.86 | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | End of split
% 161.09/23.86 | | | | | | | | |
% 161.09/23.86 | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | |
% 161.09/23.86 | | | | | | | | | (11766) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 = e2
% 161.09/23.86 | | | | | | | | | & op(e0, e3) = e2)
% 161.09/23.86 | | | | | | | | |
% 161.09/23.86 | | | | | | | | | REF_CLOSE: (159), (163), (8316), (11068), (11766),
% 161.09/23.86 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.86 | | | | | | | | | #770.
% 161.09/23.86 | | | | | | | | |
% 161.09/23.86 | | | | | | | | End of split
% 161.09/23.86 | | | | | | | |
% 161.09/23.86 | | | | | | | End of split
% 161.09/23.86 | | | | | | |
% 161.09/23.86 | | | | | | Case 2:
% 161.09/23.86 | | | | | | |
% 161.09/23.86 | | | | | | | (11767) all_10_2 = e3
% 161.09/23.86 | | | | | | | (11768) ( ~ (all_10_0 = e2) & op(e3, e0) = all_10_0 &
% 161.09/23.86 | | | | | | | $i(all_10_0)) | ( ~ (all_10_1 = e1) & op(e3, e3) =
% 161.09/23.86 | | | | | | | all_10_1 & $i(all_10_1))
% 161.09/23.86 | | | | | | |
% 161.09/23.86 | | | | | | | COMBINE_EQS: (319), (11767) imply:
% 161.09/23.86 | | | | | | | (11769) all_24_2 = e3
% 161.09/23.86 | | | | | | |
% 161.09/23.86 | | | | | | | REDUCE: (361), (11767) imply:
% 161.09/23.86 | | | | | | | (11770) ~ (all_52_7 = e3)
% 161.09/23.86 | | | | | | |
% 161.09/23.86 | | | | | | | REDUCE: (368), (11767) imply:
% 161.09/23.86 | | | | | | | (11771) ~ (all_52_11 = e3)
% 161.09/23.86 | | | | | | |
% 161.09/23.86 | | | | | | | REDUCE: (369), (11767) imply:
% 161.09/23.86 | | | | | | | (11772) ~ (all_52_12 = e3)
% 161.09/23.86 | | | | | | |
% 161.09/23.86 | | | | | | | REDUCE: (370), (11767) imply:
% 161.09/23.86 | | | | | | | (11773) ~ (all_52_13 = e3)
% 161.09/23.86 | | | | | | |
% 161.09/23.86 | | | | | | | REDUCE: (371), (11767) imply:
% 161.09/23.86 | | | | | | | (11774) ~ (all_52_14 = e3)
% 161.09/23.86 | | | | | | |
% 161.09/23.86 | | | | | | | REDUCE: (45), (11767) imply:
% 161.09/23.86 | | | | | | | (11775) op(e0, e0) = e3
% 161.09/23.86 | | | | | | |
% 161.09/23.86 | | | | | | | BETA: splitting (52) gives:
% 161.09/23.86 | | | | | | |
% 161.09/23.86 | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | |
% 161.09/23.86 | | | | | | | | (11776) ~ (all_14_2 = e2)
% 161.09/23.86 | | | | | | | |
% 161.09/23.86 | | | | | | | | BETA: splitting (55) gives:
% 161.09/23.86 | | | | | | | |
% 161.09/23.86 | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | |
% 161.09/23.86 | | | | | | | | | (11777) ~ (all_16_2 = e3)
% 161.09/23.86 | | | | | | | | |
% 161.09/23.86 | | | | | | | | | REDUCE: (328), (11777) imply:
% 161.09/23.86 | | | | | | | | | (11778) ~ (all_6_2 = e3)
% 161.09/23.86 | | | | | | | | |
% 161.09/23.86 | | | | | | | | | BETA: splitting (61) gives:
% 161.09/23.86 | | | | | | | | |
% 161.09/23.86 | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | (11779) ~ (all_20_2 = e0)
% 161.09/23.86 | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | REDUCE: (283), (11779) imply:
% 161.09/23.86 | | | | | | | | | | (11780) ~ (all_6_2 = e0)
% 161.09/23.86 | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | BETA: splitting (199) gives:
% 161.09/23.86 | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | (11781) all_54_5 = e3
% 161.09/23.86 | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | COMBINE_EQS: (268), (11781) imply:
% 161.09/23.86 | | | | | | | | | | | (11782) all_6_2 = e3
% 161.09/23.86 | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | REDUCE: (11778), (11782) imply:
% 161.09/23.86 | | | | | | | | | | | (11783) $false
% 161.09/23.86 | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | CLOSE: (11783) is inconsistent.
% 161.09/23.86 | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | (11784) ~ (all_54_5 = e3)
% 161.09/23.86 | | | | | | | | | | | (11785) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 161.09/23.86 | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | BETA: splitting (11785) gives:
% 161.09/23.86 | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | (11786) all_54_5 = e2
% 161.09/23.86 | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | COMBINE_EQS: (268), (11786) imply:
% 161.09/23.86 | | | | | | | | | | | | (11787) all_6_2 = e2
% 161.09/23.86 | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | REDUCE: (348), (11787) imply:
% 161.09/23.86 | | | | | | | | | | | | (11788) ~ (all_52_1 = e2)
% 161.09/23.86 | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | REDUCE: (351), (11787) imply:
% 161.09/23.86 | | | | | | | | | | | | (11789) ~ (all_52_4 = e2)
% 161.09/23.86 | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | REDUCE: (359), (11787) imply:
% 161.09/23.86 | | | | | | | | | | | | (11790) ~ (all_52_13 = e2)
% 161.09/23.86 | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | REDUCE: (11778), (11787) imply:
% 161.09/23.86 | | | | | | | | | | | | (11791) ~ (e3 = e2)
% 161.09/23.86 | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | REDUCE: (39), (11787) imply:
% 161.09/23.86 | | | | | | | | | | | | (11792) op(e2, e2) = e2
% 161.09/23.86 | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | BETA: splitting (211) gives:
% 161.09/23.86 | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | (11793) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 161.09/23.86 | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.86 | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | BETA: splitting (11793) gives:
% 161.09/23.86 | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | (11794) all_56_9 = e2 & op(e3, e0) = e2
% 161.09/23.86 | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | ALPHA: (11794) implies:
% 161.09/23.86 | | | | | | | | | | | | | | (11795) all_56_9 = e2
% 161.09/23.86 | | | | | | | | | | | | | | (11796) op(e3, e0) = e2
% 161.09/23.86 | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 161.09/23.86 | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | (11797) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 161.09/23.86 | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 161.09/23.86 | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | BETA: splitting (11797) gives:
% 161.09/23.86 | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | (11798) all_56_12 = e2 & op(e0, e3) = e2
% 161.09/23.86 | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | ALPHA: (11798) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | (11799) all_56_12 = e2
% 161.09/23.86 | | | | | | | | | | | | | | | | (11800) op(e0, e3) = e2
% 161.09/23.86 | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 161.09/23.86 | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (11800) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | (11801) all_52_3 = e2
% 161.09/23.86 | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 161.09/23.86 | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (11796) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | (11802) all_52_12 = e2
% 161.09/23.86 | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | REDUCE: (140), (11801) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | (11803) ~ (all_52_7 = e2)
% 161.09/23.86 | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | SIMP: (11803) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | (11804) ~ (all_52_7 = e2)
% 161.09/23.86 | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | REDUCE: (139), (11801) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | (11805) ~ (all_52_11 = e2)
% 161.09/23.86 | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | REDUCE: (113), (11802) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | (11806) ~ (all_52_13 = e2)
% 161.09/23.86 | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | REDUCE: (112), (11802) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | (11807) ~ (all_52_14 = e2)
% 161.09/23.86 | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | REDUCE: (347), (11802) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | (11808) ~ (all_14_2 = e2)
% 161.09/23.86 | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | BETA: splitting (11768) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11809) ~ (all_10_0 = e2) & op(e3, e0) = all_10_0 &
% 161.09/23.86 | | | | | | | | | | | | | | | | | $i(all_10_0)
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | ALPHA: (11809) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11810) ~ (all_10_0 = e2)
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11811) op(e3, e0) = all_10_0
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_10_0,
% 161.09/23.86 | | | | | | | | | | | | | | | | | e0, e3, simplifying with (11796), (11811) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11812) all_10_0 = e2
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | REDUCE: (11810), (11812) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11813) $false
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | CLOSE: (11813) is inconsistent.
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11814) ~ (all_10_1 = e1) & op(e3, e3) = all_10_1 &
% 161.09/23.86 | | | | | | | | | | | | | | | | | $i(all_10_1)
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | ALPHA: (11814) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11815) ~ (all_10_1 = e1)
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11816) op(e3, e3) = all_10_1
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_2,
% 161.09/23.86 | | | | | | | | | | | | | | | | | all_10_1, e3, e3, simplifying with (51), (11816)
% 161.09/23.86 | | | | | | | | | | | | | | | | | gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11817) all_14_2 = all_10_1
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (11817) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11818) all_34_2 = all_10_1
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (11817) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11819) all_54_0 = all_10_1
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | REDUCE: (337), (11817) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11820) ~ (all_52_1 = all_10_1)
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | REDUCE: (339), (11817) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11821) ~ (all_52_2 = all_10_1)
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | REDUCE: (343), (11817) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11822) ~ (all_52_4 = all_10_1)
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | REDUCE: (345), (11817) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11823) ~ (all_52_8 = all_10_1)
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | REDUCE: (11776), (11817) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | (11824) ~ (all_10_1 = e2)
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | (11825) ~ (all_34_2 = e0)
% 161.09/23.86 | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | REDUCE: (11818), (11825) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | (11826) ~ (all_10_1 = e0)
% 161.09/23.86 | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | (11827) all_54_0 = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11819), (11827) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | (11828) all_10_1 = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | SIMP: (11828) implies:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | (11829) all_10_1 = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | REDUCE: (11822), (11829) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | (11830) ~ (all_52_4 = e3)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | REDUCE: (11823), (11829) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | (11831) ~ (all_52_8 = e3)
% 161.09/23.86 | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | REDUCE: (11816), (11829) imply:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | (11832) op(e3, e3) = e3
% 161.09/23.86 | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | |
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.86 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | (11833) (all_56_1 = e3 & op(e3, e2) = e3) | (all_56_3 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11833) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11834) all_56_1 = e3 & op(e3, e2) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11834) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11835) op(e3, e2) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (11830), (11835), (function-axioms) are
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1394.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11836) all_56_3 = e3 & op(e2, e2) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11836) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11837) op(e2, e2) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11792), (11837), (function-axioms) are
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | (11838) (all_56_7 = e3 & op(e1, e2) = e3) | (all_56_13 =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11838) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11839) all_56_7 = e3 & op(e1, e2) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11839) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11840) op(e1, e2) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | (11841) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11841) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11842) all_56_4 = e3 & op(e3, e1) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11842) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11843) op(e3, e1) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (11831), (11843), (function-axioms) are
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1331.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11844) all_56_5 = e3 & op(e2, e1) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11844) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11845) op(e2, e1) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (103), (123), (162), (164), (165),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (169), (239), (8315), (8326), (11775), (11790),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11792), (11800), (11832), (11840), (11845),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | #222.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | (11846) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (8326), (11771), (11846),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | #221.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11847) all_56_13 = e3 & op(e0, e2) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (11847) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11848) all_56_13 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | (11849) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11849) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11850) all_56_12 = e1 & op(e0, e3) = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (169), (170), (234), (8318), (11776),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11789), (11795), (11799), (11850),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | #220.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11851) all_56_13 = e1 & op(e0, e2) = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11848), (11851) are inconsistent by
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1186.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | (11852) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11852) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11853) all_56_14 = e1 & op(e0, e1) = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11853) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11854) all_56_14 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | (11855) all_56_15 = e0 & op(e0, e0) = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11855) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | (11856) op(e0, e0) = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11775), (11856), (function-axioms) are
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1216.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | (11857) ((all_56_9 = e0 & op(e3, e0) = e0) | (all_56_10 =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_56_11 = e0 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_56_12 = e0 & op(e0,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_56_13 = e0 & op(e0, e2) =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_56_14 = e0 & op(e0, e1) = e0))
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11857) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | (11858) (all_56_12 = e0 & op(e0, e3) = e0) | (all_56_13 =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_56_14 = e0 & op(e0,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11858) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | (11859) all_56_12 = e0 & op(e0, e3) = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11859) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | (11860) op(e0, e3) = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11800), (11860), (function-axioms) are
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1262.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | (11861) (all_56_13 = e0 & op(e0, e2) = e0) | (all_56_14 =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11861) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (11862) all_56_13 = e0 & op(e0, e2) = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11848), (11862) are inconsistent by
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1261.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (11863) all_56_14 = e0 & op(e0, e1) = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11854), (11863) are inconsistent by
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1102.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11864) all_56_15 = e1 & op(e0, e0) = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11864) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11865) op(e0, e0) = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11775), (11865), (function-axioms) are
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1438.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | (11866) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (11866) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | (11867) all_54_0 = e2
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11819), (11867) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | (11868) all_10_1 = e2
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | SIMP: (11868) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | (11869) all_10_1 = e2
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | REDUCE: (11824), (11869) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | (11870) $false
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | CLOSE: (11870) is inconsistent.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | (11871) all_54_0 = e1 | all_54_0 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (11871) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11872) all_54_0 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11819), (11872) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11873) all_10_1 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | SIMP: (11873) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11874) all_10_1 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11815), (11874) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11875) $false
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | CLOSE: (11875) is inconsistent.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11876) all_54_0 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11819), (11876) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11877) all_10_1 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | SIMP: (11877) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11878) all_10_1 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11826), (11878) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11879) $false
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | CLOSE: (11879) is inconsistent.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | (11880) all_34_2 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11818), (11880) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | (11881) all_10_1 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | REDUCE: (11820), (11881) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | (11882) ~ (all_52_1 = e0)
% 161.09/23.87 | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | REDUCE: (11821), (11881) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | (11883) ~ (all_52_2 = e0)
% 161.09/23.87 | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | REDUCE: (11822), (11881) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | (11884) ~ (all_52_4 = e0)
% 161.09/23.87 | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | REDUCE: (11824), (11881) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | (11885) ~ (e2 = e0)
% 161.09/23.87 | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | REDUCE: (11815), (11881) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | (11886) ~ (e1 = e0)
% 161.09/23.87 | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | REDUCE: (11816), (11881) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | (11887) op(e3, e3) = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | (11888) all_54_4 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (11888) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | (11889) all_52_1 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | SIMP: (11889) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | (11890) all_52_1 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11890) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | (11891) ~ (all_52_2 = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | SIMP: (11891) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | (11892) ~ (all_52_2 = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | REDUCE: (146), (11890) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | (11893) ~ (all_52_9 = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | SIMP: (11893) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | (11894) ~ (all_52_9 = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | (11895) all_54_8 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (11892), (11895) are inconsistent by
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | sub-proof #1388.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | (11896) ~ (all_54_8 = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | (11897) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | (11898) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11898) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | (11899) all_56_4 = e3 & op(e3, e1) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11899) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | (11900) all_56_4 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11897) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11901) all_54_8 = e2
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (259), (8316), (11901) are inconsistent by
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #722.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11902) ~ (all_54_8 = e2)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | (11903) all_54_8 = e1 | all_54_8 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | (11904) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_1 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11904) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | (11905) all_56_0 = e1 & op(e3, e3) = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11905) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | (11906) op(e3, e3) = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11887), (11906), (function-axioms) are
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1387.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | (11907) all_56_1 = e1 & op(e3, e2) = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11907) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | (11908) all_56_1 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (11909) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11909) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11910) all_56_0 = e1 & op(e3, e3) = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11910) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11911) op(e3, e3) = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (230), (236), (11795),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11796), (11908), (11911), (function-axioms) are
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #495.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11912) all_56_2 = e1 & op(e2, e3) = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11912) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11913) all_56_2 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11914) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11914) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11915) all_56_2 = e3 & op(e2, e3) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11913), (11915) are inconsistent by
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #939.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11916) all_56_3 = e3 & op(e2, e2) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11916) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11917) op(e2, e2) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11792), (11917), (function-axioms) are
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11918) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11918) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11919) all_56_5 = e3 & op(e2, e1) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11919) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11920) all_56_5 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11921) op(e2, e1) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (103), (123),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (160), (162), (164), (165), (169), (170),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (206), (210), (211), (213), (214), (216),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (221), (222), (231), (232), (234),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (239), (250), (259), (8315), (8316),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318), (8321), (8325), (8326), (11774), (11775),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11776), (11789), (11790), (11792), (11795),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11796), (11799), (11800), (11883), (11887),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11892), (11897), (11920), (11921),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #209.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11922) all_56_10 = e3 & op(e2, e0) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11922) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11923) all_56_10 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (11775),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11795), (11923), (function-axioms) are
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (11924) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11924) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11925) all_56_6 = e1 & op(e1, e3) = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11925) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11926) all_56_6 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11903) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11927) all_54_8 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (11927) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11928) all_52_2 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (11928) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11929) ~ (all_52_6 = e1)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11929) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11930) ~ (all_52_6 = e1)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (11928) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11931) ~ (all_52_14 = e1)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11931) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11932) ~ (all_52_14 = e1)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11892), (11928) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11933) ~ (e3 = e1)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11934) all_54_11 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11774), (11934) are inconsistent by
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1371.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11935) ~ (all_54_11 = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11936) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11937) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11937) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11938) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11938) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11939) (all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11775), (11800), (11939), (function-axioms)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #588.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11940) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11940) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11941) (all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (160), (216), (8326), (11774), (11926),
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11941), (function-axioms) are inconsistent by
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #207.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11942) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11942) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11943) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11943) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11944) op(e1, e1) = all_57_30
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11945) op(e1, e2) = all_57_20
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11946) op(e1, all_57_30) = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11947) (all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11936) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11948) all_54_11 = e2
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (8321), (11948) are inconsistent by
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1368.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11949) all_54_11 = e1 | all_54_11 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11949) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11950) all_54_11 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11932), (11950) are inconsistent by
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1367.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11951) all_54_11 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (11951) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11952) all_52_14 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11952) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11953) all_52_14 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11953) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11954) ~ (all_52_6 = e0)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11955) all_54_9 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (11955) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11956) all_52_6 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11956) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11957) all_52_6 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11957) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11958) ~ (all_52_4 = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11957) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11959) ~ (all_52_7 = e3)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (11957) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11960) op(e1, e2) = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11961) all_54_1 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (11958), (11961) are inconsistent by
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1252.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11962) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11963) all_54_6 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (11894), (11963) are inconsistent by
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1393.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11964) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11962) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11965) all_54_1 = e2
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (11789), (11965) are inconsistent by
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1251.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11966) all_54_1 = e1 | all_54_1 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11966) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11967) all_54_1 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (272), (11967) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11968) all_52_4 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11968) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11969) all_52_4 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (11969) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11970) ~ (all_52_7 = e1)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11970) implies:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11971) ~ (all_52_7 = e1)
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11972) all_54_13 = e3
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (11770), (11972) are inconsistent by
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #919.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11973) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11973) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11974) all_54_13 = e2
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (11974) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11975) all_52_7 = e2
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11804), (11975) imply:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11976) $false
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11976) is inconsistent.
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11977) all_54_13 = e1 | all_54_13 = e0
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11977) gives:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11978) all_54_13 = e1
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (11978) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11979) all_52_7 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11971), (11979) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11980) $false
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11980) is inconsistent.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11981) all_54_13 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (11981) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11982) all_52_7 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11982) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11983) ~ (all_52_11 = e0)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11983) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11984) ~ (all_52_11 = e0)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11947) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11985) all_57_24 = e0 & op(e0, e1) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11985) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11986) op(e0, e1) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (11984), (11986), (function-axioms) are
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1454.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11987) ~ (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11987) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11988) ~ (all_57_31 = e1)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11989) op(e0, e0) = all_57_31
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11964) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11990) all_54_6 = e2
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (8319), (11990) are inconsistent by
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1392.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31, e0, e0, simplifying with (11775),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11989) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11991) all_57_31 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (8326),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11944) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11992) all_57_30 = e2
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20, e2, e1, simplifying with (11945),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11960) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11993) all_57_20 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11946), (11992) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11994) op(e1, e2) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11960), (11994), (function-axioms) are
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #716.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11995) all_54_1 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (272), (11884), (11995) are inconsistent by
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #887.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11996) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8317), (11930), (11954), (11996) are
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #618.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11997) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11997) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11998) (all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11796), (11887), (11998), (function-axioms)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1041.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11999) all_54_8 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (11999) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12000) all_52_2 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11883), (12000) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12001) $false
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12001) is inconsistent.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12002) all_56_12 = e1 & op(e0, e3) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (169), (170), (234), (8318), (11776),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11789), (11795), (11799), (12002),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | #220.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | (12003) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_9 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12003) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | (12004) all_56_4 = e1 & op(e3, e1) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12004) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | (12005) all_56_4 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11900), (12005) are inconsistent by
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1257.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | (12006) all_56_9 = e1 & op(e3, e0) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12006) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | (12007) all_56_9 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (169), (170), (234), (8318), (11776),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | (11789), (12007), (function-axioms) are
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (12008) all_56_5 = e3 & op(e2, e1) = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12008) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (12009) all_56_5 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (12010) op(e2, e1) = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (103), (123),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (141), (160), (162), (164), (165), (169), (170),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (193), (206), (210), (211), (213), (214), (216),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (217), (218), (221), (222), (231), (232), (234),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (235), (236), (239), (250), (259), (8315), (8316),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (8318), (8321), (8325), (8326), (11774), (11775),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (11776), (11789), (11790), (11792), (11795),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (11796), (11799), (11800), (11883), (11887),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (11892), (11897), (12009), (12010),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | #209.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | (12011) (all_56_8 = e3 & op(e1, e1) = e3) | (all_56_14 =
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (8326), (11771), (12011),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | #221.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | (12012) ~ (all_54_4 = e3)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | (12013) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | REDUCE: (269), (12012) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | (12014) ~ (all_52_1 = e3)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (12013) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | (12015) all_54_4 = e2
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (11788), (12015) are inconsistent by
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | sub-proof #1369.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | (12016) ~ (all_54_4 = e2)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | (12017) all_54_4 = e1 | all_54_4 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | (12018) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12018) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (12019) all_56_2 = e3 & op(e2, e3) = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12019) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (12020) all_56_2 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | (12021) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11887), (12020), (12021),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | #538.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | (12022) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12022) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | (12023) all_56_6 = e1 & op(e1, e3) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12023) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | (12024) op(e1, e3) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (163), (269), (11882), (12017), (12024),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | #967.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | (12025) all_56_12 = e1 & op(e0, e3) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (169), (170), (234), (8318), (11776),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | (11789), (11795), (11799), (12025),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | #220.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (12026) all_56_3 = e3 & op(e2, e2) = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12026) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (12027) op(e2, e2) = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11792), (12027), (function-axioms) are
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1459.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | (12028) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12028) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (12029) all_56_5 = e3 & op(e2, e1) = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12029) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (12030) all_56_5 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | (12031) op(e2, e1) = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | (12032) (all_56_0 = e3 & op(e3, e3) = e3) | (all_56_2 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12032) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | (12033) all_56_0 = e3 & op(e3, e3) = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12033) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | (12034) op(e3, e3) = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11887), (12034), (function-axioms) are
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1421.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | (12035) all_56_2 = e3 & op(e2, e3) = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12035) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | (12036) all_56_2 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | (12037) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12037) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12038) all_56_2 = e1 & op(e2, e3) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12036), (12038) are inconsistent by
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #539.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12039) all_56_3 = e1 & op(e2, e2) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12039) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12040) op(e2, e2) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11792), (12040), (function-axioms) are
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1468.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | (12041) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12041) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12042) all_56_5 = e1 & op(e2, e1) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12042) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12043) op(e2, e1) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12031), (12043), (function-axioms) are
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12044) all_56_10 = e1 & op(e2, e0) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12044) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12045) all_56_10 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12046) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12046) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12047) all_56_4 = e0 & op(e3, e1) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12047) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12048) all_56_4 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (51), (169), (170),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (236), (8318), (11776), (11789),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11887), (12048), (function-axioms) are
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #443.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12049) all_56_5 = e0 & op(e2, e1) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12030), (12049) are inconsistent by
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1457.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12050) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12050) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12051) all_56_8 = e0 & op(e1, e1) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12051) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12052) op(e1, e1) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (12052), (function-axioms) are
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12053) all_56_14 = e0 & op(e0, e1) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12053) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12054) all_56_14 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (103), (123),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (169), (170), (206),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (213), (214), (216), (217), (218),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (231), (232), (234), (235), (236), (239),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8315), (8318), (8321), (8325), (8326), (11774),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11775), (11776), (11789), (11790), (11792),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11795), (11796), (11799), (11800), (11887),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12030), (12031), (12045), (12054),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #210.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | (12055) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_12 =
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12055) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | (12056) all_56_6 = e3 & op(e1, e3) = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12056) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | (12057) all_56_6 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | (12058) (all_56_4 = e0 & op(e3, e1) = e0) | (all_56_5 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12058) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12059) all_56_4 = e0 & op(e3, e1) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12059) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12060) all_56_4 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (51), (169), (170),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (236), (8318), (11776), (11789),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (11887), (12060), (function-axioms) are
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #443.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12061) all_56_5 = e0 & op(e2, e1) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12061) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12062) all_56_5 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12030), (12062) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12063) e3 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12063) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12064) e3 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12057), (12064) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12065) all_56_6 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (231), (235), (11799),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (11887), (12065), (function-axioms) are
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #535.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | (12066) (all_56_8 = e0 & op(e1, e1) = e0) | (all_56_14 =
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12066) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12067) all_56_8 = e0 & op(e1, e1) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12067) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12068) op(e1, e1) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8326), (12068), (function-axioms) are
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #546.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12069) all_56_14 = e0 & op(e0, e1) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12069) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (12070) all_56_14 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12071) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12071) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12072) all_56_12 = e1 & op(e0, e3) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (169), (170), (234), (8318), (11776),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11789), (11795), (11799), (12072),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #220.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12073) all_56_13 = e1 & op(e0, e2) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12073) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12074) all_56_13 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12075) (all_56_4 = e1 & op(e3, e1) = e1) | (all_56_5 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12075) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12076) all_56_4 = e1 & op(e3, e1) = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12076) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12077) all_56_4 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12017) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12078) all_54_4 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (12078) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12079) all_52_1 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12079) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12080) all_52_1 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (12080) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12081) ~ (all_52_13 = e1)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12081) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12082) ~ (all_52_13 = e1)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12014), (12080) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12083) ~ (e3 = e1)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11788), (12080) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12084) ~ (e2 = e1)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12085) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12085) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12086) all_56_1 = e0 & op(e3, e2) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12086) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12087) all_56_1 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (236), (11796), (11887), (12077),
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12087), (function-axioms) are inconsistent by
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1382.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12088) all_56_3 = e0 & op(e2, e2) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12088) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12089) op(e2, e2) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11792), (12089), (function-axioms) are
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1379.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12090) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12090) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12091) all_56_7 = e0 & op(e1, e2) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12091) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12092) op(e1, e2) = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12093) all_54_8 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (259), (12093) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12094) all_52_2 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12094) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12095) all_52_2 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (12095) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12096) ~ (all_52_6 = e3)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12096) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12097) ~ (all_52_6 = e3)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (12095) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12098) ~ (all_52_14 = e3)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12099) all_54_7 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11773), (12099) are inconsistent by
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #891.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12100) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12100) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12101) all_54_7 = e2
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11790), (12101) are inconsistent by
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1353.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12102) ~ (all_54_7 = e2)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12103) all_54_7 = e1 | all_54_7 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12103) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12104) all_54_7 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (12082), (12104) are inconsistent by
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12105) all_54_7 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (12105) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12106) all_52_13 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12106) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12107) all_52_13 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (12107) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12108) ~ (all_52_14 = e0)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12108) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12109) ~ (all_52_14 = e0)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12110) all_54_11 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11774), (12110) are inconsistent by
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1371.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12111) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12111) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12112) all_54_11 = e2
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (8321), (12112) are inconsistent by
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1368.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12113) all_54_11 = e1 | all_54_11 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12113) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12114) all_54_11 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (12114) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12115) all_52_14 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12115) implies:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12116) all_52_14 = e1
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (12116) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12117) ~ (all_52_6 = e1)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12118) all_54_9 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (12118) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12119) all_52_6 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12097), (12119) imply:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12120) $false
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12120) is inconsistent.
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12121) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12122) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12122) gives:
% 161.09/23.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12123) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12123) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12124) (all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11775), (11800), (12124), (function-axioms)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #588.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12125) all_57_4 = e3 & all_57_5 = e2 & all_57_6 = e1 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_7 = e0 & op(e2, all_57_16) = e3 & op(e2,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23) = e1 & op(e2, all_57_27) = e0 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_28) = e2 & op(e2, e3) = all_57_16 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = all_57_23 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_16) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_27) & $i(all_57_28) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_19 = e3 & op(e3, e2) = e3) | ( ~
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_20 = e1 & op(e1,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1) | ( ~ (all_57_30 = e2) & op(e1,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_21 = e0 & op(e0, e2) = e0) | ( ~
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e2) & op(e0, e0) = all_57_31 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12125) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12126) (all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8326), (12092), (12126), (function-axioms)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #646.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12127) (all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_57_20 & op(e1, e1) =
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & op(e1, e0) = all_57_29 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_17) & $i(all_57_20) & $i(all_57_29) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30) & ((all_57_22 = e3 & op(e3, e1) =
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | ( ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & $i(all_57_26))) & ((all_57_23 =
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e1) = e2) | ( ~ (all_57_28 = e1)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = all_57_28 & $i(all_57_28))) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_12 = e3 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_13 = e2 & all_57_14 = e1 & all_57_15 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, all_57_18) = e3 & op(e0, all_57_21) =
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, all_57_24) = e1 & op(e0, all_57_31)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, e3) = all_57_18 & op(e0, e2) =
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21 & op(e0, e1) = all_57_24 & op(e0, e0)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_31 & $i(all_57_18) & $i(all_57_21) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_24) & $i(all_57_31) & ((all_57_25 = e3
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3) | ( ~ (all_57_26 = e0) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_27 = e2 & op(e2, e0) = e2) | ( ~
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e2, e2) = all_57_28 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_29 = e1 & op(e1,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1) | ( ~ (all_57_30 = e0) & op(e1,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))))
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12127) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12128) all_57_8 = e3 & all_57_9 = e2 & all_57_10 = e1 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_11 = e0 & op(e1, all_57_17) = e3 & op(e1,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20) = e2 & op(e1, all_57_29) = e0 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, all_57_30) = e1 & op(e1, e3) = all_57_17 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = all_57_30 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_17) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_29) & $i(all_57_30) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_22 = e3 & op(e3, e1) = e3) | ( ~
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_23 = e2 & op(e2,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2) | ( ~ (all_57_28 = e1) & op(e2,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_24 = e0 & op(e0, e1) = e0) | ( ~
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e1) & op(e0, e0) = all_57_31 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12128) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12129) op(e1, e1) = all_57_30
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12130) op(e1, all_57_30) = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12121) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12131) all_54_9 = e2
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (12131) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12132) all_52_6 = e2
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8317), (12132) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12133) $false
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12133) is inconsistent.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12134) all_54_9 = e1 | all_54_9 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12134) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12135) all_54_9 = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (12135) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12136) all_52_6 = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12117), (12136) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12137) $false
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12137) is inconsistent.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12138) all_54_9 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (12138) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12139) all_52_6 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (12139) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12140) ~ (all_52_7 = e0)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12140) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12141) ~ (all_52_7 = e0)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12142) all_54_13 = e3
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (11770), (12142) are inconsistent by
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #919.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12143) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12143) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12144) all_54_13 = e2
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (11804), (12144) are inconsistent by
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #918.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12145) all_54_13 = e1 | all_54_13 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12145) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12146) all_54_13 = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (12146) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12147) all_52_7 = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12147) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12148) all_52_7 = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (12148) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12149) ~ (all_52_11 = e1)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12149) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12150) ~ (all_52_11 = e1)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12151) all_54_14 = e3
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12151) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12152) all_52_11 = e3
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11771), (12152) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12153) $false
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12153) is inconsistent.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12154) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12154) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12155) all_54_14 = e2
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12155) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12156) all_52_11 = e2
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8320), (12156) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12157) $false
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12157) is inconsistent.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12158) all_54_14 = e1 | all_54_14 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12158) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12159) all_54_14 = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (12150), (12159) are inconsistent by
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1090.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30, e1, e1, simplifying with (8326),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12129) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12160) all_57_30 = e2
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12130), (12160) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12161) op(e1, e2) = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (258), (12117), (12134), (12161),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #206.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12162) all_54_13 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (248), (12141), (12162) are inconsistent by
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #877.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12163) all_57_12 = e3 & all_57_13 = e2 & all_57_14 = e1 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_15 = e0 & op(e0, all_57_18) = e3 & op(e0,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_21) = e2 & op(e0, all_57_24) = e1 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, all_57_31) = e0 & op(e0, e3) = all_57_18 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e1) = all_57_24 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = all_57_31 & $i(all_57_18) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_24) & $i(all_57_31) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))) & ((all_57_27 = e2 & op(e2,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2) | ( ~ (all_57_28 = e0) & op(e2,
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_57_28 & $i(all_57_28))) &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_29 = e1 & op(e1, e0) = e1) | ( ~
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e1, e1) = all_57_30 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)))
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12163) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12164) (all_57_25 = e3 & op(e3, e0) = e3) | ( ~
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0) & op(e3, e3) = all_57_26 &
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26))
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11796), (11887), (12164), (function-axioms)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1041.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12165) all_54_11 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (12109), (12165) are inconsistent by
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1086.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12166) ~ (all_54_8 = e3)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12167) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (259), (12166) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12168) ~ (all_52_2 = e3)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (103), (123),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (160), (162), (164), (165), (169), (170),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (206), (210), (211), (213), (214), (216),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (218), (221), (222), (231), (232), (234),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (239), (250), (259), (8315), (8316),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8318), (8321), (8325), (8326), (11774), (11775),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11776), (11789), (11790), (11792), (11795),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11796), (11799), (11800), (11883), (11887),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12030), (12031), (12167), (12168),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #209.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12169) all_56_13 = e0 & op(e0, e2) = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12169) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12170) all_56_13 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12074), (12170) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12171) e1 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12077), (12171) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12172) all_56_4 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (51), (169), (170),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (234), (236), (8318), (11776), (11789),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11887), (12172), (function-axioms) are
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #443.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12173) all_54_4 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (11882), (12173) are inconsistent by
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1363.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12174) all_56_5 = e1 & op(e2, e1) = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12174) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12175) op(e2, e1) = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12031), (12175), (function-axioms) are
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12176) (all_56_8 = e1 & op(e1, e1) = e1) | (all_56_14 =
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (51), (169), (170), (234), (8318),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8325), (11776), (11789), (11795), (12070),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12176), (function-axioms) are inconsistent by
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #214.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12177) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (11775), (12070), (12177),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | #205.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | (12178) all_56_12 = e3 & op(e0, e3) = e3
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11799), (12178) are inconsistent by
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #497.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | (12179) all_56_10 = e3 & op(e2, e0) = e3
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12179) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | (12180) all_56_10 = e3
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (206), (210), (11775),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | (11795), (12180), (function-axioms) are
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #208.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | (12181) all_56_13 = e2 & op(e0, e2) = e2
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | ALPHA: (12181) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | (12182) all_56_13 = e2
% 161.09/23.89 | | | | | | | | | | | | | | | | (12183) op(e0, e2) = e2
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | (12184) (all_56_0 = e2 & op(e3, e3) = e2) | (all_56_2 = e2
% 161.09/23.89 | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (167), (11776), (11788), (12184),
% 161.09/23.89 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.89 | | | | | | | | | | | | | | | | | #1329.
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | (12185) (all_56_6 = e2 & op(e1, e3) = e2) | (all_56_12 =
% 161.09/23.89 | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | BETA: splitting (12185) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | (12186) all_56_6 = e2 & op(e1, e3) = e2
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | ALPHA: (12186) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | (12187) op(e1, e3) = e2
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (8316), (12187), (function-axioms) are
% 161.09/23.89 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1362.
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | (12188) all_56_12 = e2 & op(e0, e3) = e2
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | ALPHA: (12188) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | (12189) all_56_12 = e2
% 161.09/23.89 | | | | | | | | | | | | | | | | | | (12190) op(e0, e3) = e2
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | (12191) (all_56_12 = e1 & op(e0, e3) = e1) | (all_56_13 =
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (12191) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (12192) all_56_12 = e1 & op(e0, e3) = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (169), (170), (234), (8318), (11776),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (11789), (11795), (12189), (12192),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | #213.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (12193) all_56_13 = e1 & op(e0, e2) = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | ALPHA: (12193) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (12194) all_56_13 = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12182), (12194) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (12195) e2 = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11795), (12195) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (12196) all_56_9 = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (51), (169), (170), (234), (8318), (11776),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (11789), (12196), (function-axioms) are
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | (12197) (all_56_14 = e1 & op(e0, e1) = e1) | (all_56_15 =
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (12197) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (12198) all_56_14 = e1 & op(e0, e1) = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | ALPHA: (12198) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (12199) all_56_14 = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (206), (11775), (12183), (12190),
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (12199), (function-axioms) are inconsistent by
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | sub-proof #204.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (12200) all_56_15 = e1 & op(e0, e0) = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | ALPHA: (12200) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (12201) op(e0, e0) = e1
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11775), (12201), (function-axioms) are
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1438.
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | (12202) (all_56_14 = e2 & op(e0, e1) = e2) | (all_56_15 =
% 161.09/23.89 | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 161.09/23.89 | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (8320), (11775), (12202),
% 161.09/23.89 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.89 | | | | | | | | | | | | | | | #606.
% 161.09/23.89 | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | (12203) all_56_10 = e2 & op(e2, e0) = e2
% 161.09/23.89 | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | ALPHA: (12203) implies:
% 161.09/23.89 | | | | | | | | | | | | | | (12204) op(e2, e0) = e2
% 161.09/23.89 | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | REF_CLOSE: (164), (11790), (12204), (function-axioms) are
% 161.09/23.89 | | | | | | | | | | | | | | inconsistent by sub-proof #1339.
% 161.09/23.89 | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | (12205) (all_56_11 = e2 & op(e1, e0) = e2) | (all_56_15 =
% 161.09/23.89 | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 161.09/23.89 | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | REF_CLOSE: (9), (160), (8321), (11775), (12205),
% 161.09/23.89 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.89 | | | | | | | | | | | | | #203.
% 161.09/23.89 | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | (12206) all_54_5 = e1 | all_54_5 = e0
% 161.09/23.89 | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | REF_CLOSE: (268), (373), (11780), (12206) are inconsistent by
% 161.09/23.89 | | | | | | | | | | | | sub-proof #1084.
% 161.09/23.89 | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | End of split
% 161.09/23.89 | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | (12207) all_20_2 = e0
% 161.09/23.89 | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | COMBINE_EQS: (283), (12207) imply:
% 161.09/23.89 | | | | | | | | | | (12208) all_6_2 = e0
% 161.09/23.89 | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | SIMP: (12208) implies:
% 161.09/23.89 | | | | | | | | | | (12209) all_6_2 = e0
% 161.09/23.89 | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | COMBINE_EQS: (331), (12209) imply:
% 161.09/23.89 | | | | | | | | | | (12210) all_26_2 = e0
% 161.09/23.89 | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | REDUCE: (353), (12209) imply:
% 161.09/23.89 | | | | | | | | | | (12211) ~ (all_52_6 = e0)
% 161.09/23.89 | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | REDUCE: (355), (12209) imply:
% 161.09/23.89 | | | | | | | | | | (12212) ~ (all_52_7 = e0)
% 161.09/23.89 | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | REDUCE: (357), (12209) imply:
% 161.09/23.89 | | | | | | | | | | (12213) ~ (all_52_9 = e0)
% 161.09/23.89 | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | REDUCE: (11778), (12209) imply:
% 161.09/23.89 | | | | | | | | | | (12214) ~ (e3 = e0)
% 161.09/23.89 | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | REDUCE: (373), (12209) imply:
% 161.09/23.89 | | | | | | | | | | (12215) ~ (e1 = e0)
% 161.09/23.89 | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | REDUCE: (39), (12209) imply:
% 161.09/23.89 | | | | | | | | | | (12216) op(e2, e2) = e0
% 161.09/23.89 | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | BETA: splitting (70) gives:
% 161.09/23.89 | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | (12217) ~ (all_26_2 = e0)
% 161.09/23.89 | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | REDUCE: (12210), (12217) imply:
% 161.09/23.89 | | | | | | | | | | | (12218) $false
% 161.09/23.89 | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | CLOSE: (12218) is inconsistent.
% 161.09/23.89 | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | (12219) ( ~ (all_26_0 = e1) & op(e0, e2) = all_26_0 &
% 161.09/23.89 | | | | | | | | | | | $i(all_26_0)) | ( ~ (all_26_1 = e3) & op(e0, e0)
% 161.09/23.89 | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 161.09/23.89 | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | BETA: splitting (103) gives:
% 161.09/23.89 | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | (12220) ~ (all_48_2 = e2)
% 161.09/23.89 | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | REDUCE: (8315), (12220) imply:
% 161.09/23.89 | | | | | | | | | | | | (12221) $false
% 161.09/23.89 | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | CLOSE: (12221) is inconsistent.
% 161.09/23.89 | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | (12222) ( ~ (all_48_0 = e3) & op(e2, e1) = all_48_0 &
% 161.09/23.89 | | | | | | | | | | | | $i(all_48_0)) | ( ~ (all_48_1 = e0) & op(e2, e2)
% 161.09/23.89 | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 161.09/23.89 | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | BETA: splitting (12222) gives:
% 161.09/23.89 | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | (12223) ~ (all_48_0 = e3) & op(e2, e1) = all_48_0 &
% 161.09/23.89 | | | | | | | | | | | | | $i(all_48_0)
% 161.09/23.89 | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | ALPHA: (12223) implies:
% 161.09/23.89 | | | | | | | | | | | | | (12224) ~ (all_48_0 = e3)
% 161.09/23.89 | | | | | | | | | | | | | (12225) op(e2, e1) = all_48_0
% 161.09/23.89 | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | BETA: splitting (225) gives:
% 161.09/23.89 | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | (12226) (all_56_1 = e0 & op(e3, e2) = e0) | (all_56_3 = e0
% 161.09/23.89 | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 161.09/23.89 | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | BETA: splitting (12226) gives:
% 161.09/23.89 | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | (12227) all_56_1 = e0 & op(e3, e2) = e0
% 161.09/23.89 | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | ALPHA: (12227) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | (12228) all_56_1 = e0
% 161.09/23.89 | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (226), (227), (228),
% 161.09/23.89 | | | | | | | | | | | | | | | (12216), (12228), (function-axioms) are
% 161.09/23.89 | | | | | | | | | | | | | | | inconsistent by sub-proof #1007.
% 161.09/23.89 | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | (12229) all_56_3 = e0 & op(e2, e2) = e0
% 161.09/23.89 | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | ALPHA: (12229) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | (12230) all_56_3 = e0
% 161.09/23.89 | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | BETA: splitting (12219) gives:
% 161.09/23.89 | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | (12231) ~ (all_26_0 = e1) & op(e0, e2) = all_26_0 &
% 161.09/23.89 | | | | | | | | | | | | | | | | $i(all_26_0)
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | ALPHA: (12231) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | (12232) ~ (all_26_0 = e1)
% 161.09/23.89 | | | | | | | | | | | | | | | | (12233) op(e0, e2) = all_26_0
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 161.09/23.89 | | | | | | | | | | | | | | | | all_26_0, e2, e0, simplifying with (158), (12233)
% 161.09/23.89 | | | | | | | | | | | | | | | | gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | (12234) all_52_7 = all_26_0
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 161.09/23.89 | | | | | | | | | | | | | | | | all_48_0, e1, e2, simplifying with (165), (12225)
% 161.09/23.89 | | | | | | | | | | | | | | | | gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | (12235) all_52_9 = all_48_0
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | COMBINE_EQS: (248), (12234) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | (12236) all_54_13 = all_26_0
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (12235) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | (12237) all_54_6 = all_48_0
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | REDUCE: (140), (12234) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | (12238) ~ (all_52_3 = all_26_0)
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | REDUCE: (11770), (12234) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | (12239) ~ (all_26_0 = e3)
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | REDUCE: (12212), (12234) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | (12240) ~ (all_26_0 = e0)
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | REDUCE: (8319), (12235) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | (12241) ~ (all_48_0 = e2)
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | REDUCE: (12213), (12235) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | (12242) ~ (all_48_0 = e0)
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | (12243) all_54_6 = e3
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | COMBINE_EQS: (12237), (12243) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | (12244) all_48_0 = e3
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | REDUCE: (12224), (12244) imply:
% 161.09/23.89 | | | | | | | | | | | | | | | | | (12245) $false
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | CLOSE: (12245) is inconsistent.
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | (12246) ~ (all_54_6 = e3)
% 161.09/23.89 | | | | | | | | | | | | | | | | | (12247) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | (12248) all_54_13 = e3
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | REF_CLOSE: (12236), (12239), (12248) are inconsistent by
% 161.09/23.89 | | | | | | | | | | | | | | | | | | sub-proof #626.
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | (12249) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | (12250) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 161.09/23.89 | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (12250) gives:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (12251) all_56_2 = e3 & op(e2, e3) = e3
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | ALPHA: (12251) implies:
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | | (12252) all_56_2 = e3
% 161.09/23.89 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (51), (159), (163), (233), (8316), (11776),
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | (12232), (12236), (12238), (12240), (12249),
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | (12252), (function-axioms) are inconsistent by
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | sub-proof #613.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | (12253) all_56_3 = e3 & op(e2, e2) = e3
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | ALPHA: (12253) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | (12254) op(e2, e2) = e3
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12216), (12254), (function-axioms) are
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1277.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | (12255) (all_56_5 = e3 & op(e2, e1) = e3) | (all_56_10 =
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (12255) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | (12256) all_56_5 = e3 & op(e2, e1) = e3
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | ALPHA: (12256) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | (12257) op(e2, e1) = e3
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12247) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | (12258) all_54_6 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12237), (12258) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | (12259) all_48_0 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12241), (12259) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | (12260) $false
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | CLOSE: (12260) is inconsistent.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | (12261) ~ (all_54_6 = e2)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | (12262) all_54_6 = e1 | all_54_6 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | (12263) (all_56_2 = e1 & op(e2, e3) = e1) | (all_56_3 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12263) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | (12264) all_56_2 = e1 & op(e2, e3) = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12264) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | (12265) all_56_2 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (165), (223), (224), (8319),
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | (12216), (12224), (12225), (12237), (12241),
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | (12242), (12262), (12265), (function-axioms) are
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #255.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | (12266) all_56_3 = e1 & op(e2, e2) = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12266) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | (12267) op(e2, e2) = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12216), (12267), (function-axioms) are
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1082.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | (12268) (all_56_5 = e1 & op(e2, e1) = e1) | (all_56_10 =
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12268) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | (12269) all_56_5 = e1 & op(e2, e1) = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12269) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | (12270) op(e2, e1) = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12257), (12270), (function-axioms) are
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1322.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | (12271) all_56_10 = e1 & op(e2, e0) = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12271) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | (12272) all_56_10 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12262) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (12273) all_54_6 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12237), (12273) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (12274) all_48_0 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12274) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (12275) all_48_0 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12224), (12275) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (12276) ~ (e3 = e1)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12241), (12275) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (12277) ~ (e2 = e1)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12225), (12275) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (12278) op(e2, e1) = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (165), (223), (224),
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (8319), (12216), (12230), (12272), (12278),
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | #437.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (12279) all_54_6 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12237), (12279) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (12280) all_48_0 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12280) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (12281) all_48_0 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12242), (12281) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (12282) $false
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12282) is inconsistent.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | (12283) all_56_10 = e3 & op(e2, e0) = e3
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | ALPHA: (12283) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | (12284) all_56_10 = e3
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (206), (210),
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | (211), (8321), (11775), (12284), (function-axioms)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #202.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | (12285) ~ (all_26_1 = e3) & op(e0, e0) = all_26_1 &
% 161.09/23.90 | | | | | | | | | | | | | | | | $i(all_26_1)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | ALPHA: (12285) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12286) ~ (all_26_1 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | | (12287) op(e0, e0) = all_26_1
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_26_1,
% 161.09/23.90 | | | | | | | | | | | | | | | | e0, e0, simplifying with (11775), (12287) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12288) all_26_1 = e3
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | REDUCE: (12286), (12288) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12289) $false
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | CLOSE: (12289) is inconsistent.
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | (12290) (all_56_7 = e0 & op(e1, e2) = e0) | (all_56_13 =
% 161.09/23.90 | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 161.09/23.90 | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (12211), (12212), (12290),
% 161.09/23.90 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.90 | | | | | | | | | | | | | | #356.
% 161.09/23.90 | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | (12291) ~ (all_48_1 = e0) & op(e2, e2) = all_48_1 &
% 161.09/23.90 | | | | | | | | | | | | | $i(all_48_1)
% 161.09/23.90 | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | ALPHA: (12291) implies:
% 161.09/23.90 | | | | | | | | | | | | | (12292) ~ (all_48_1 = e0)
% 161.09/23.90 | | | | | | | | | | | | | (12293) op(e2, e2) = all_48_1
% 161.09/23.90 | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | REF_CLOSE: (12216), (12292), (12293), (function-axioms) are
% 161.09/23.90 | | | | | | | | | | | | | inconsistent by sub-proof #357.
% 161.09/23.90 | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | |
% 161.09/23.90 | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | |
% 161.09/23.90 | | | | | | | | | (12294) all_16_2 = e3
% 161.09/23.90 | | | | | | | | | (12295) ( ~ (all_16_0 = e1) & op(e3, e2) = all_16_0 &
% 161.09/23.90 | | | | | | | | | $i(all_16_0)) | ( ~ (all_16_1 = e0) & op(e3, e3)
% 161.09/23.90 | | | | | | | | | = all_16_1 & $i(all_16_1))
% 161.09/23.90 | | | | | | | | |
% 161.09/23.90 | | | | | | | | | COMBINE_EQS: (328), (12294) imply:
% 161.09/23.90 | | | | | | | | | (12296) all_6_2 = e3
% 161.09/23.90 | | | | | | | | |
% 161.09/23.90 | | | | | | | | | SIMP: (12296) implies:
% 161.09/23.90 | | | | | | | | | (12297) all_6_2 = e3
% 161.09/23.90 | | | | | | | | |
% 161.09/23.90 | | | | | | | | | REDUCE: (353), (12297) imply:
% 161.09/23.90 | | | | | | | | | (12298) ~ (all_52_6 = e3)
% 161.09/23.90 | | | | | | | | |
% 161.09/23.90 | | | | | | | | | REDUCE: (357), (12297) imply:
% 161.09/23.90 | | | | | | | | | (12299) ~ (all_52_9 = e3)
% 161.09/23.90 | | | | | | | | |
% 161.09/23.90 | | | | | | | | | REDUCE: (39), (12297) imply:
% 161.09/23.90 | | | | | | | | | (12300) op(e2, e2) = e3
% 161.09/23.90 | | | | | | | | |
% 161.09/23.90 | | | | | | | | | BETA: splitting (216) gives:
% 161.09/23.90 | | | | | | | | |
% 161.09/23.90 | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | (12301) (all_56_6 = e3 & op(e1, e3) = e3) | (all_56_7 = e3
% 161.09/23.90 | | | | | | | | | | & op(e1, e2) = e3)
% 161.09/23.90 | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | BETA: splitting (12301) gives:
% 161.09/23.90 | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | (12302) all_56_6 = e3 & op(e1, e3) = e3
% 161.09/23.90 | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | ALPHA: (12302) implies:
% 161.09/23.90 | | | | | | | | | | | (12303) all_56_6 = e3
% 161.09/23.90 | | | | | | | | | | | (12304) op(e1, e3) = e3
% 161.09/23.90 | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | BETA: splitting (220) gives:
% 161.09/23.90 | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | (12305) (all_56_4 = e3 & op(e3, e1) = e3) | (all_56_5 = e3
% 161.09/23.90 | | | | | | | | | | | | & op(e2, e1) = e3)
% 161.09/23.90 | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | BETA: splitting (12305) gives:
% 161.09/23.90 | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | (12306) all_56_4 = e3 & op(e3, e1) = e3
% 161.09/23.90 | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | ALPHA: (12306) implies:
% 161.09/23.90 | | | | | | | | | | | | | (12307) all_56_4 = e3
% 161.09/23.90 | | | | | | | | | | | | | (12308) op(e3, e1) = e3
% 161.09/23.90 | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | BETA: splitting (224) gives:
% 161.09/23.90 | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | (12309) (all_56_2 = e3 & op(e2, e3) = e3) | (all_56_3 = e3
% 161.09/23.90 | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 161.09/23.90 | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | BETA: splitting (12309) gives:
% 161.09/23.90 | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | (12310) all_56_2 = e3 & op(e2, e3) = e3
% 161.09/23.90 | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | ALPHA: (12310) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | (12311) all_56_2 = e3
% 161.09/23.90 | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (165), (221), (223), (8312),
% 161.09/23.90 | | | | | | | | | | | | | | | (8319), (12300), (12311), (function-axioms) are
% 161.09/23.90 | | | | | | | | | | | | | | | inconsistent by sub-proof #352.
% 161.09/23.90 | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | (12312) all_56_3 = e3 & op(e2, e2) = e3
% 161.09/23.90 | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | ALPHA: (12312) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | (12313) all_56_3 = e3
% 161.09/23.90 | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | BETA: splitting (8312) gives:
% 161.09/23.90 | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | (12314) ~ (all_8_0 = e0) & op(e2, e1) = all_8_0 &
% 161.09/23.90 | | | | | | | | | | | | | | | | $i(all_8_0)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | ALPHA: (12314) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12315) ~ (all_8_0 = e0)
% 161.09/23.90 | | | | | | | | | | | | | | | | (12316) op(e2, e1) = all_8_0
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 161.09/23.90 | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (12304) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12317) all_52_2 = e3
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 161.09/23.90 | | | | | | | | | | | | | | | | all_8_0, e1, e2, simplifying with (165), (12316)
% 161.09/23.90 | | | | | | | | | | | | | | | | gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12318) all_52_9 = all_8_0
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 161.09/23.90 | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (12308) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12319) all_52_8 = e3
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (12318) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12320) all_54_6 = all_8_0
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | REDUCE: (149), (12317) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12321) ~ (all_52_1 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | REDUCE: (146), (12318) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12322) ~ (all_52_1 = all_8_0)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | REDUCE: (144), (12317) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12323) ~ (all_52_3 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | SIMP: (12323) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12324) ~ (all_52_3 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | REDUCE: (141), (12317) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12325) ~ (all_52_14 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | REDUCE: (134), (12319) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12326) ~ (all_52_4 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | REDUCE: (121), (12319) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12327) ~ (all_52_11 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | REDUCE: (120), (12319) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12328) ~ (all_52_12 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | REDUCE: (345), (12319) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12329) ~ (all_14_2 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | SIMP: (12329) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12330) ~ (all_14_2 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | REDUCE: (118), (12318) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12331) ~ (all_52_11 = all_8_0)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | SIMP: (12331) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12332) ~ (all_52_11 = all_8_0)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | REDUCE: (117), (12318) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12333) ~ (all_52_13 = all_8_0)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | SIMP: (12333) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12334) ~ (all_52_13 = all_8_0)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | REDUCE: (12299), (12318) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12335) ~ (all_8_0 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | REDUCE: (8319), (12318) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | (12336) ~ (all_8_0 = e2)
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | (12337) all_54_6 = e3
% 161.09/23.90 | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (12320), (12335), (12337) are inconsistent by
% 161.09/23.90 | | | | | | | | | | | | | | | | | sub-proof #351.
% 161.09/23.90 | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | (12338) ~ (all_54_6 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | | | (12339) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | BETA: splitting (12339) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | (12340) all_54_6 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (12320), (12336), (12340) are inconsistent by
% 161.09/23.90 | | | | | | | | | | | | | | | | | | sub-proof #350.
% 161.09/23.90 | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | (12341) ~ (all_54_6 = e2)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | (12342) all_54_6 = e1 | all_54_6 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | BETA: splitting (12342) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | (12343) all_54_6 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12320), (12343) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | (12344) all_8_0 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | SIMP: (12344) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | (12345) all_8_0 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | REDUCE: (12322), (12345) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | (12346) ~ (all_52_1 = e1)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | REDUCE: (12332), (12345) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | (12347) ~ (all_52_11 = e1)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | REDUCE: (12334), (12345) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | (12348) ~ (all_52_13 = e1)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | REDUCE: (12335), (12345) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | (12349) ~ (e3 = e1)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | REDUCE: (12336), (12345) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | (12350) ~ (e2 = e1)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | REDUCE: (12316), (12345) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | (12351) op(e2, e1) = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | (12352) all_54_14 = e3
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (11771), (12352) are inconsistent by
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | sub-proof #1390.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | (12353) ~ (all_54_14 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | (12354) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12354) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | (12355) all_54_14 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (8320), (12355) are inconsistent by
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | sub-proof #1091.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | (12356) ~ (all_54_14 = e2)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | (12357) all_54_14 = e1 | all_54_14 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12357) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | (12358) all_54_14 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (247), (12347), (12358) are inconsistent by
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1090.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | (12359) all_54_14 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (247), (12359) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | (12360) all_52_11 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12360) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | (12361) all_52_11 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (12361) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | (12362) ~ (all_52_3 = e0)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (12361) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | (12363) ~ (all_52_7 = e0)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11771), (12361) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | (12364) ~ (e3 = e0)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8320), (12361) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | (12365) ~ (e2 = e0)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12347), (12361) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | (12366) ~ (e1 = e0)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | (12367) ~ (all_28_2 = e1)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (315), (12367) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | (12368) ~ (all_14_2 = e1)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (12369) (all_56_0 = e1 & op(e3, e3) = e1) | (all_56_2 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12369) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | (12370) all_56_0 = e1 & op(e3, e3) = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12370) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | (12371) op(e3, e3) = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (12368), (12371), (function-axioms) are
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1341.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | (12372) all_56_2 = e1 & op(e2, e3) = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12372) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | (12373) all_56_2 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (221), (223),
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | (224), (8319), (12300), (12315), (12316), (12351),
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | (12373), (function-axioms) are inconsistent by
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #348.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | (12374) (all_56_6 = e1 & op(e1, e3) = e1) | (all_56_12 =
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12374) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | (12375) all_56_6 = e1 & op(e1, e3) = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12303), (12375) are inconsistent by
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1291.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | (12376) all_56_12 = e1 & op(e0, e3) = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12376) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | (12377) all_56_12 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (12378) all_54_0 = e3
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (12378) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (12379) all_14_2 = e3
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12330), (12379) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (12380) $false
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12380) is inconsistent.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (12381) ~ (all_54_0 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (12382) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12382) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12383) all_54_0 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (12383) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12384) all_14_2 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11776), (12384) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12385) $false
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12385) is inconsistent.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12386) ~ (all_54_0 = e2)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12387) all_54_0 = e1 | all_54_0 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12388) (all_56_12 = e2 & op(e0, e3) = e2) | (all_56_13 =
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12388) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12389) all_56_12 = e2 & op(e0, e3) = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12389) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12390) all_56_12 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12377), (12390) are inconsistent by
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1304.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12391) all_56_13 = e2 & op(e0, e2) = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12391) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12392) all_56_13 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12393) op(e0, e2) = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12387) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12394) all_54_0 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (12394) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12395) all_14_2 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12368), (12395) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12396) $false
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12396) is inconsistent.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12397) all_54_0 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (12397) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12398) all_14_2 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (337), (12398) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12399) ~ (all_52_1 = e0)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (12398) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12400) op(e3, e3) = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12401) all_54_4 = e3
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (12321), (12401) are inconsistent by
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1370.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12402) ~ (all_54_4 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12403) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12403) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12404) all_54_4 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (12404) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12405) all_52_1 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12405) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12406) all_52_1 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (12406) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12407) ~ (all_52_13 = e2)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12407) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12408) ~ (all_52_13 = e2)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12321), (12406) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12409) ~ (e3 = e2)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (12406) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12410) op(e2, e3) = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12411) all_54_7 = e3
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (11773), (12411) are inconsistent by
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #891.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12412) ~ (all_54_7 = e3)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12413) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12413) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12414) all_54_7 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (12408), (12414) are inconsistent by
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1353.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12415) ~ (all_54_7 = e2)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12416) all_54_7 = e1 | all_54_7 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12417) (all_56_2 = e2 & op(e2, e3) = e2) | (all_56_3 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12417) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12418) all_56_2 = e2 & op(e2, e3) = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12418) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12419) all_56_2 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12420) (all_56_9 = e2 & op(e3, e0) = e2) | (all_56_10 =
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12420) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12421) all_56_9 = e2 & op(e3, e0) = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12421) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12422) all_56_9 = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12423) op(e3, e0) = e2
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12416) gives:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12424) all_54_7 = e1
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (260), (12348), (12424) are inconsistent by
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1352.
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12425) all_54_7 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (260), (12425) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12426) all_52_13 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12426) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12427) all_52_13 = e0
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (12427) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12428) ~ (all_52_12 = e0)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (12427) imply:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12429) ~ (all_52_14 = e0)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12429) implies:
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12430) ~ (all_52_14 = e0)
% 161.09/23.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12431) (all_56_6 = e0 & op(e1, e3) = e0) | (all_56_7 = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12431) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12432) all_56_6 = e0 & op(e1, e3) = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12432) implies:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12433) all_56_6 = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12303), (12433) imply:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12434) e3 = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12307), (12434) imply:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12435) all_56_4 = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (232), (236), (12400),
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12422), (12423), (12435), (function-axioms) are
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1372.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12436) all_56_7 = e0 & op(e1, e2) = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12436) implies:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12437) op(e1, e2) = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12438) (all_56_1 = e1 & op(e3, e2) = e1) | (all_56_3 = e1
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12438) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12439) all_56_1 = e1 & op(e3, e2) = e1
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12439) implies:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12440) op(e3, e2) = e1
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12441) all_54_11 = e3
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (11774), (12441) are inconsistent by
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1371.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12442) ~ (all_54_11 = e3)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12443) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12443) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12444) all_54_11 = e2
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (250), (8321), (12444) are inconsistent by
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1368.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12445) ~ (all_54_11 = e2)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12446) all_54_11 = e1 | all_54_11 = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12295) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12447) ~ (all_16_0 = e1) & op(e3, e2) = all_16_0 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_0)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12447) implies:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12448) ~ (all_16_0 = e1)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12449) op(e3, e2) = all_16_0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12440), (12448), (12449), (function-axioms) are
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #816.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12450) ~ (all_16_1 = e0) & op(e3, e3) = all_16_1 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12450) implies:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12451) op(e3, e3) = all_16_1
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12446) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12452) all_54_11 = e1
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (250), (12452) imply:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12453) all_52_14 = e1
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12453) implies:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12454) all_52_14 = e1
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (12454) imply:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12455) ~ (all_52_12 = e1)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12456) (all_56_2 = e0 & op(e2, e3) = e0) | (all_56_3 = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (167), (12300), (12410), (12456),
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1276.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12457) (all_56_5 = e0 & op(e2, e1) = e0) | (all_56_10 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12457) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12458) all_56_5 = e0 & op(e2, e1) = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12458) implies:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12459) op(e2, e1) = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12315), (12316), (12459), (function-axioms) are
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #534.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12460) all_56_10 = e0 & op(e2, e0) = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12460) implies:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12461) all_56_10 = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12462) (all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e3, e1) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22 & op(e3, e0) = all_57_25 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_19) & $i(all_57_22) & $i(all_57_25) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & ((all_57_16 = e2 & op(e2, e3) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | ( ~ (all_57_28 = e3) & op(e2, e2) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & $i(all_57_28))) & ((all_57_17 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e3) = e1) | ( ~ (all_57_30 = e3)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = all_57_30 & $i(all_57_30))) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))) | (all_57_4 = e3 & all_57_5
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_57_6 = e1 & all_57_7 = e0 & op(e2,
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16) = e3 & op(e2, all_57_23) = e1 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, all_57_27) = e0 & op(e2, all_57_28) = e2
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_57_16 & op(e2, e2) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = all_57_23 & op(e2, e0)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & $i(all_57_16) & $i(all_57_23) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_28) & ((all_57_19 = e3
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3) | ( ~ (all_57_26 = e2) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & $i(all_57_26))) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_20 = e1 & op(e1, e2) = e1) | ( ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e1, e1) = all_57_30 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))) & ((all_57_21 = e0 & op(e0,
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0) | ( ~ (all_57_31 = e2) & op(e0,
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_57_31 & $i(all_57_31))))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12462) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12463) all_57_0 = e3 & all_57_1 = e2 & all_57_2 = e1 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_3 = e0 & op(e3, all_57_19) = e2 & op(e3,
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_22) = e1 & op(e3, all_57_25) = e0 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, all_57_26) = e3 & op(e3, e3) = all_57_26 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_57_19 & op(e3, e1) = all_57_22 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & $i(all_57_19) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_25) & $i(all_57_26) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))) & ((all_57_17 = e1 & op(e1,
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1) | ( ~ (all_57_30 = e3) & op(e1,
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_57_30 & $i(all_57_30))) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31)))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12463) implies:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12464) op(e3, all_57_26) = e3
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12465) (all_57_18 = e0 & op(e0, e3) = e0) | ( ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e0, e0) = all_57_31 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12466) (all_57_16 = e2 & op(e2, e3) = e2) | ( ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e3) & op(e2, e2) = all_57_28 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12467) all_54_3 = e3
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11772), (12467) are inconsistent by
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1249.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12468) ~ (all_54_3 = e3)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12469) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12470) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_19 = e3 & all_57_30 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_20 = e1) & ~ (all_57_26 = e2) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_20) & $i(all_57_26)) | (all_57_19 = e3
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e2 & ~ (all_57_21 = e0) & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e2) & op(e3, e3) = all_57_26 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3 & op(e0, e2) = all_57_21 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e2 & $i(all_57_21) & $i(all_57_26))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_26 = e2 & ~ (all_57_19
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_30 = e2) & op(e3, e3) = e2
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_57_19 & op(e1, e2) = e1 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_19) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_20 = e1 & all_57_31 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_30 = e2) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1 & op(e1, e1) = all_57_30 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_30)) | (all_57_22 = e3
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e1 & ~ (all_57_23 = e2) & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e2, e2) = e1 & op(e2, e1) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_23 & $i(all_57_23) & $i(all_57_26))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12470) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12471) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28)) | (all_57_17 = e1
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e1, e3) = e1 & op(e1, e1) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_16) & $i(all_57_30)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1 & all_57_31 = e3 & ~ (all_57_18 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e3) & op(e1, e3) = e1 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e3) = all_57_18
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e3 & $i(all_57_18) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12471) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12472) (all_57_16 = e2 & all_57_30 = e3 & ~ (all_57_17 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_28 = e3) & op(e2, e3) = e2 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e1, e3) = all_57_17
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_57_17) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_16 = e2 & all_57_31 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_28 = e3) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2 & op(e2, e2) = all_57_28 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_28))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8326), (12465), (12472), (function-axioms)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #487.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12473) (all_57_17 = e1 & all_57_28 = e3 & ~ (all_57_16 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e3) & op(e2, e3) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e1, e3) = e1 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & $i(all_57_16) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_17 = e1 & all_57_31 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_18 = e0) & ~ (all_57_30 = e3) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1 & op(e1, e1) = all_57_30 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_57_18 & op(e0, e0) = e3 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_18) & $i(all_57_30))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12465), (12466), (12473) are inconsistent by
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #579.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12474) (all_57_19 = e3 & all_57_30 = e2 & ~ (all_57_20 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_57_26 = e2) & op(e3, e3) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e2) = e3 & op(e1, e2) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_20 & op(e1, e1) = e2 & $i(all_57_20) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_19 = e3 & all_57_31 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_57_21 = e0) & ~ (all_57_26 = e2) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e2) = e3 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_57_21 & op(e0, e0) = e2 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_21) & $i(all_57_26)) | (all_57_20 = e1
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_26 = e2 & ~ (all_57_19 = e3) & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e2) & op(e3, e3) = e2 & op(e3, e2)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_19 & op(e1, e2) = e1 & op(e1, e1) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_30 & $i(all_57_19) & $i(all_57_30)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1 & all_57_31 = e2 & ~ (all_57_21 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_30 = e2) & op(e1, e2) = e1 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e0, e2) = all_57_21
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_57_21) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_22 = e3 & all_57_28 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_23 = e2) & ~ (all_57_26 = e1) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e1) = e3 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_23) & $i(all_57_26))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (9), (170), (11775), (12300), (12326),
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12400), (12451), (12474), (function-axioms) are
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #201.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12475) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29)) | (all_57_26 = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_27 = e2 & ~ (all_57_25 = e3) & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0) & op(e3, e3) = e0 & op(e3, e0)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_25 & op(e2, e2) = all_57_28 & op(e2,
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_57_25) & $i(all_57_28)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_25) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (all_57_27 = e2 & all_57_30 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_28 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e0) = e2 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28) & $i(all_57_29)) | (all_57_28 = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_29 = e1 & ~ (all_57_27 = e2) & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_30 = e0) & op(e2, e2) = e0 & op(e2, e0)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_57_27 & op(e1, e1) = all_57_30 & op(e1,
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e1 & $i(all_57_27) & $i(all_57_30)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (op(e0, e0) = all_57_31 & $i(all_57_31) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_16 = e2) & ~ (all_57_31 = e3) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_57_16 & op(e2, e2) = e3 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12475) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12476) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28)) | (all_57_23 = e2
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_31 = e1 & ~ (all_57_24 = e0) & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & op(e0, e1) = all_57_24 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e0) = e1 & $i(all_57_24) & $i(all_57_28))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12476) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12477) (all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)) | (all_57_23 = e2 & all_57_26 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_22 = e3) & ~ (all_57_28 = e1) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = all_57_28 & op(e2, e1) = e2 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_22) & $i(all_57_28))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12477) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12478) all_57_22 = e3 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_26 = e1) & op(e3, e3) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e1) = e3 & op(e0, e1) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12478) implies:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12479) op(e0, e0) = e1
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11775), (12479), (function-axioms) are
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1438.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12480) all_57_23 = e2 & all_57_26 = e1 & ~ (all_57_22 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e1) & op(e3, e3) = e1 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_57_22 & op(e2, e2) = all_57_28 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e2 & $i(all_57_22) & $i(all_57_28)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12480) implies:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12481) op(e3, e3) = e1
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (51), (163), (224),
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (233), (235), (8316), (11776), (12313),
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12351), (12377), (12419), (12481),
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #267.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12482) (all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_25 = e3 & all_57_28 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_27 = e2) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_27)) | (all_57_25 = e3
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_26 = e0) & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e3, e3) = all_57_26 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e1, e1) = e0 & op(e1, e0) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_26) & $i(all_57_29))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12482) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12483) all_57_23 = e2 & all_57_31 = e1 & ~ (all_57_24 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_28 = e1) & op(e2, e2) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e1) = e2 & op(e0, e1) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_24 & op(e0, e0) = e1 & $i(all_57_24) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12483) implies:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12484) op(e0, e0) = e1
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11775), (12484), (function-axioms) are
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1438.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12485) (all_57_25 = e3 & all_57_28 = e0 & ~ (all_57_26 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_27 = e2) & op(e3, e3) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_26 & op(e3, e0) = e3 & op(e2, e2) = e0 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & $i(all_57_26) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27)) | (all_57_25 = e3 & all_57_30 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_57_26 = e0) & ~ (all_57_29 = e1) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = all_57_26 & op(e3, e0) = e3 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = e0 & op(e1, e0) = all_57_29 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_26) & $i(all_57_29))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (270), (11772), (12428), (12455), (12469),
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12485), (function-axioms) are inconsistent by
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #415.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12486) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30)) | (all_57_27 = e2
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_57_30 = e0 & ~ (all_57_28 = e0) & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_29 = e1) & op(e2, e2) = all_57_28 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e1, e1) = e0 & op(e1, e0) =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_29 & $i(all_57_28) & $i(all_57_29)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12486) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12487) (all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2 & $i(all_57_25) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_28)) | (all_57_26 = e0 & all_57_29 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_25 = e3) & ~ (all_57_30 = e0) &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0 & op(e3, e0) = all_57_25 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_25) & $i(all_57_30))
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12487) gives:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12488) all_57_26 = e0 & all_57_27 = e2 & ~ (all_57_25 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_28 = e0) & op(e3, e3) = e0 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e2, e2) = all_57_28 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & $i(all_57_25) & $i(all_57_28)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12488) implies:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12489) op(e2, e0) = e2
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (164), (270), (12428), (12455), (12469),
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12489), (function-axioms) are inconsistent by
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1247.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12490) all_57_26 = e0 & all_57_29 = e1 & ~ (all_57_25 =
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_57_30 = e0) & op(e3, e3) = e0 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_57_25 & op(e1, e1) = all_57_30 &
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_25) & $i(all_57_30)
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12490) implies:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12491) all_57_26 = e0
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12464), (12491) imply:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12492) op(e3, e0) = e3
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (270), (11772), (12428), (12455), (12469),
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12492), (function-axioms) are inconsistent by
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #961.
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12493) (all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)) | (all_57_28 = e0 & all_57_29 =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_57_27 = e2) & ~ (all_57_30 = e0) &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e0 & op(e2, e0) = all_57_27 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e1) = all_57_30 & op(e1, e0) = e1 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_27) & $i(all_57_30)) | (op(e0, e0) =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_31 & $i(all_57_31) & ((all_57_18 = e0 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 = e3 & ~ (all_57_16 = e2) & ~
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_31 = e3) & op(e2, e3) = all_57_16 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e3 & op(e0, e3) = e0 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1)
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12493) gives:
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12494) all_57_27 = e2 & all_57_30 = e0 & ~ (all_57_28 =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_57_29 = e1) & op(e2, e2) =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_28 & op(e2, e0) = e2 & op(e1, e1) = e0 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_57_29 & $i(all_57_28) &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_29)
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12494) implies:
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12495) op(e2, e0) = e2
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (164), (270), (12428), (12455), (12469),
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12495), (function-axioms) are inconsistent by
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1247.
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12496) (all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1 & $i(all_57_27) &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_30)) | (op(e0, e0) = all_57_31 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_57_31) & ((all_57_18 = e0 & all_57_28 =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_57_16 = e2) & ~ (all_57_31 =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e2, e3) = all_57_16 & op(e2, e2)
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & op(e0, e3) = e0 & $i(all_57_16)) |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_18 = e0 & all_57_30 = e3 & ~
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_17 = e1) & ~ (all_57_31 = e3) &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_57_17 & op(e1, e1) = e3 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_19 = e3) & ~ (all_57_31 = e2) &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2 & op(e3, e2) = all_57_19 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_19)) |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_30 = e2 & ~
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_20 = e1) & ~ (all_57_31 = e2) &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_57_20 & op(e1, e1) = e2 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_22 = e3) & ~ (all_57_31 = e1) &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1 & op(e3, e1) = all_57_22 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_22)) |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_28 = e1 & ~
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_23 = e2) & ~ (all_57_31 = e1) &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e2) = e1 & op(e2, e1) = all_57_23 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0 & $i(all_57_23))))
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12496) gives:
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12497) all_57_28 = e0 & all_57_29 = e1 & ~ (all_57_27 =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_57_30 = e0) & op(e2, e2) = e0 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_57_27 & op(e1, e1) = all_57_30 &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & $i(all_57_27) & $i(all_57_30)
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12497) implies:
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12498) op(e2, e2) = e0
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (145), (164), (165), (200),
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (269), (8319), (12321), (12346),
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12351), (12399), (12461), (12498),
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #402.
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12499) op(e0, e0) = all_57_31 & $i(all_57_31) &
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ((all_57_18 = e0 & all_57_28 = e3 & ~ (all_57_16
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) & ~ (all_57_31 = e3) & op(e2, e3) =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_57_16 & op(e2, e2) = e3 & op(e0, e3) = e0
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_16)) | (all_57_18 = e0 & all_57_30
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_57_17 = e1) & ~ (all_57_31 =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & op(e1, e3) = all_57_17 & op(e1, e1) =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e0 & $i(all_57_17)) |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_21 = e0 & all_57_26 = e2 & ~ (all_57_19
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e2) & op(e3, e3) =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e3, e2) = all_57_19 & op(e0, e2) = e0
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_57_19)) | (all_57_21 = e0 & all_57_30
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_57_20 = e1) & ~ (all_57_31 =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e1, e2) = all_57_20 & op(e1, e1) =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e0 & $i(all_57_20)) |
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_57_24 = e0 & all_57_26 = e1 & ~ (all_57_22
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) & ~ (all_57_31 = e1) & op(e3, e3) =
% 161.09/23.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e3, e1) = all_57_22 &